#logarithms in math

[er-cryptid]

Horizontal Translation of Logarithmic Functions

-- Formulae: -> g(x) = logb (x + c) -> g(x) = logb (x - c)

-- g(x) = logb (x + c) shifts the graph of f(x) = logb (x) to the left c units and moves the vertical asymptote to x = -c

-- g(x) = logb (x - c) shifts the graph of f(x) = logb (x) to the right c units and moves the vertical asymptote to x = c

.

Patreon

[sysy-studyblr]

friday 10/05/24

basic logarithms! had a solid revision day, but it was super rainy!!

♫ misses - dominic fike ♫

[one-time-i-dreamt]

I was solving logarithmic equations fully asleep and when I woke up I pointed out every mistake so I wouldn’t do it again.

[pantheraleo04]

I just figured out a new (or rather new-to-me) property of logarithms. If you are multiplying logs together, you can swap the arguments and bases around and it will still have the same product. Here's the proof using the change of base formula:

Then, because multiplication is communicative, you can flip the order and look at this as the bases or the arguments being switched. Also if you have many logs being multiplied, you can pair up the arguments and bases in whatever way you want, which I think is pretty neat.

I wasn't sure if this still holds true once you start dealing with complex numbers because I don't have much experience in that area. But thanks to a friend giving me a crash course on complex logarithms, it appears that it does which is great.

[rollercoastermalfunction]

any fun math facts? Any thought cheats I could use to help remember how stuff works?

[itsgerges]

Best Regards

The Sun Can NOT Be Created Before The Planets Creation

or

or

or

Paper Major hypothesis

The Sun Is NOT Doing Nuclear Fusion To Produce Its Rays- Instead - The Planets Motions Energies Total Is Used To Produce The Sun Rays- That's Why The Sun Can Not Be Created Before The Planets Creation And Motion   

In Fact- The Sun Is A Phenomenon created by the planets motions- means- The Planets were created and moving in their orbits before the sun creation- the planets were revolving around a point in space for a long period of time before the sun creation and the sun is created and put on this point around which the planets revolve-

This fact shows the great gap between the solar system facts and the physics book- 

BUT- Can This Theory Be A Fact? let's see how this can be possible

(i)

This Is Extraordinary: Gravity Can Create Light, All on Its Own

https://www.msn.com/en-us/news/technology/this-is-extraordinary-gravity-can-create-light-all-on-its-own/ar-AA19YL5d?ocid=hpmsnHYPERLINK "https://www.msn.com/en-us/news/technology/this-is-extraordinary-gravity-can-create-light-all-on-its-own/ar-AA19YL5d?ocid=hpmsn&cvid=620db4352aa943e2b454919a7b724604&ei=83"&HYPERLINK "https://www.msn.com/en-us/news/technology/this-is-extraordinary-gravity-can-create-light-all-on-its-own/ar-AA19YL5d?ocid=hpmsn&cvid=620db4352aa943e2b454919a7b724604&ei=83"cvid=620db4352aa943e2b454919a7b724604HYPERLINK "https://www.msn.com/en-us/news/technology/this-is-extraordinary-gravity-can-create-light-all-on-its-own/ar-AA19YL5d?ocid=hpmsn&cvid=620db4352aa943e2b454919a7b724604&ei=83"&HYPERLINK "https://www.msn.com/en-us/news/technology/this-is-extraordinary-gravity-can-create-light-all-on-its-own/ar-AA19YL5d?ocid=hpmsn&cvid=620db4352aa943e2b454919a7b724604&ei=83"ei=83

This new article tells the gravitational waves can move by speed of light and can produce a light beam- I claim the sun rays are produced based on this method by the gravitational waves motions and not by the sun nuclear fusion process- also –No star rays is produced by the nuclear fusion process but all rays are created by the gravitational waves motions energies as the article states-

Here we see the article produces a light beam by different source of energy (the gravitational waves motions energy) in place of the sun mass which is used by the nuclear fusion process to produce the sun rays- here – the source of energy is the motion energy of the gravitational waves 

The importance here is that- the solar system is rich in the motion energy and by that the sun mass as a source of energy is not required

(ii)

I claim

The gravitational waves are created by the planets motions energies and not by the gravitational field-let's see if this can be possible

Planet motion produces energy (1/2 mv^2), where's Planet motion energy? the planet can NOT store its motion energy inside its body because it would raise its temperature and No planet temperature is raised by its motion- logically- the planet motion energy is stored in the space in waves form- means- Planet motion energy creates waves in the space- Planet motion in the space is similar to a fish swimming in the sea- as the fish swimming creates waves in the water the planet motion energy creates waves in the space- let's see this picture clearly- the fish swims because it hits the water by its body and that creates waves in the water- we conclude, the water waves move by a velocity equal the fish velocity because of the reaction force- similar to that- Planet moves in the space and its motion energy creates waves in the space and these waves move by velocity equal the planet velocity- for example- Mercury (47.4 km/s) moves and its motion energy creates waves in the space and these waves move by equal velocity (47.4 km/s)- based on this idea- All planets move and their motions energies create waves in the space where each wave moves by velocity equal its planet velocity

AND

The planets revolve around the sun in the same one direction and for that their motions energies create waves in the space and these waves move perpendicular on the revolution direction (Toward Pluto orbit)

AND 

In Pluto orbit these waves are unified together into one unified wave- this wave moves by a velocity = 205.8 km/s why? The 9 planets velocities total=176 km/s but I add the Earth moon velocity (29.8 km/s) that makes the total to be 205.8 km/s – I add the moon velocity because the energy is stored finally in the moon orbit-

Note- The moon and the Earth revolve around the sun together for that the moon velocity is considered equal the Earth velocity relative to (the sun) –

Shortly

The planets motions energies are unified into unified wave revolve around the sun and moves by velocity (205.8 km/s) and this is the gravitational waves

The question is that

The scientists discovered waves in the space and they told these waves are produced by the gravitational field but why?? because planet motion energy analysis proves the motion energy must be stored in the space as moving waves- so the discovered waves  are created by the planets motions energies and not by any gravitational field – also I prove the sun doesn't produce a gravitational field which proves my theory tells the gravitational waves are produced by the planets motions energies

(iii)

The previous analysis shows the sun rays are created from the gravitational waves motions and the gravitational waves are produced by the planets motions energies- that explains how the sun can be a phenomenon created by the planets motions energies

(iv)

The major hypothesis elementary proves

The Sun corona temperature is 5 million Kelvin but the sun surface is 5800 Kelvin because the energy is NOT produced by the sun body but out of the sun body- the energy is coming from the planets motions energies- that's why the energy out of the sun is greater the energy inside the sun  

Planet velocity analysis proves that the sun is created after all planet creation and motion where no any planet can be created or added to the solar group after the sun creation- this fact is proved by planet velocity analysis discussed by the paper. 

The sun velocity 2 km/s (the sun circumference 4.37 million km/ the sun rotation period 25.4 days) this velocity proves the sun is the stationary point in the solar system which is required to create the sun rays –

The sun diameter = Jupiter circumference x π and also

(the sun mass /Jupiter mass)=  π x (Jupiter mass/ the Earth Mass) (error 5%) because Jupiter defines The sun creation data with the inner planets  

The total solar eclipse geometrical design is found by Jupiter- because Jupiter uses the total solar eclipse to define the sun position in the sky after the sun creation- the total solar eclipse data shows Jupiter creates the whole design 

The paper discuses these proves and many others in details

The Major hypothesis Explanation

The major hypothesis depends on 4 hypothesis which are

1st hypothesis

The gravitational waves are produced by the planet motion energy and Not by the gravitational field- Moreover- the sun doesn't produce a gravitational field -Shortly- the planet motion produces energy (1/2 mv^2) and this energy is stored in the space as moving waves – these are the gravitational waves- also the gravitational waves are reflected in the solar system and the wave reflection causes to square the wave velocity

2nd hypothesis

As discussed before

The Sun Is Not Doing Nuclear Fusion To Produce Its Rays– Because

This Is Extraordinary: Gravity Can Create Light, All on Its Own

https://www.msn.com/en-us/news/technology/this-is-extraordinary-gravity-can-create-light-all-on-its-own/ar-AA19YL5d?ocid=hpmsnHYPERLINK "https://www.msn.com/en-us/news/technology/this-is-extraordinary-gravity-can-create-light-all-on-its-own/ar-AA19YL5d?ocid=hpmsn&cvid=620db4352aa943e2b454919a7b724604&ei=83"&HYPERLINK "https://www.msn.com/en-us/news/technology/this-is-extraordinary-gravity-can-create-light-all-on-its-own/ar-AA19YL5d?ocid=hpmsn&cvid=620db4352aa943e2b454919a7b724604&ei=83"cvid=620db4352aa943e2b454919a7b724604HYPERLINK "https://www.msn.com/en-us/news/technology/this-is-extraordinary-gravity-can-create-light-all-on-its-own/ar-AA19YL5d?ocid=hpmsn&cvid=620db4352aa943e2b454919a7b724604&ei=83"&HYPERLINK "https://www.msn.com/en-us/news/technology/this-is-extraordinary-gravity-can-create-light-all-on-its-own/ar-AA19YL5d?ocid=hpmsn&cvid=620db4352aa943e2b454919a7b724604&ei=83"ei=83

This new article tells the gravitational waves can move by speed of light and can produce a light beam- I claim the sun rays are produced based on this method by the gravitational waves motions and not by the sun nuclear fusion process- also –No star rays is produced by the nuclear fusion process but all rays are created by the gravitational waves motions energies as the article states.  

3rd  hypothesis

The planets Motions use different rates of time – the rate of time depends on the velocities rate – example- Mercury velocity = 1.6 the Earth velocity because of that (One Second Of Mercury Clock  = 1.6 Seconds Of The Earth Clock)

4th  hypothesis

Neptune motion caused to create relativistic effects in the solar system because

This Is Extraordinary: Gravity Can Create Light, All on Its Own

https://www.msn.com/en-us/news/technology/this-is-extraordinary-gravity-can-create-light-all-on-its-own/ar-AA19YL5d?ocid=hpmsnHYPERLINK "https://www.msn.com/en-us/news/technology/this-is-extraordinary-gravity-can-create-light-all-on-its-own/ar-AA19YL5d?ocid=hpmsn&cvid=620db4352aa943e2b454919a7b724604&ei=83"&HYPERLINK "https://www.msn.com/en-us/news/technology/this-is-extraordinary-gravity-can-create-light-all-on-its-own/ar-AA19YL5d?ocid=hpmsn&cvid=620db4352aa943e2b454919a7b724604&ei=83"cvid=620db4352aa943e2b454919a7b724604HYPERLINK "https://www.msn.com/en-us/news/technology/this-is-extraordinary-gravity-can-create-light-all-on-its-own/ar-AA19YL5d?ocid=hpmsn&cvid=620db4352aa943e2b454919a7b724604&ei=83"&HYPERLINK "https://www.msn.com/en-us/news/technology/this-is-extraordinary-gravity-can-create-light-all-on-its-own/ar-AA19YL5d?ocid=hpmsn&cvid=620db4352aa943e2b454919a7b724604&ei=83"ei=83

the new article tells the gravitational waves can move by speed of light-

and the gravitational waves move by speed of light but Neptune caused to decrease the wave speed by 1% and by that the speed be equal 99% of speed of light (=297000 km/s) which caused to created relativistic effects in the solar system- also- Neptune caused to create two wave reflections in the outer planets which one reflection only was enough- means- if Neptune is removed from the solar system the wave reflections in the outer planets will be one reflection only and not two reflections 

NOTICE

In following I provide the explanations and proves for the four hypothesis- BUT- Before – I have to provide refutations for 15 theories in the modern physics book-

I want to say-

NOT only – The sun nuclear fusion theory is wrong –BUT – also there are 15 other theories are wrong in the modern physics book-I put them in the preface before the four hypotheses explanation   

The Paper 4 Branch Hypotheses Proves Discussion

Preface– Refutations Of 15 Physics Theories

I provide refutations for 15 theories in the modern physics book which are

The Physicist Vision Contradicts The Nature System

The physicist supposes Planet moves and doesn't produce motion energy

Einstein is wrong (Space Has Mechanical Features)

Einstein is wrong (The Sun Doesn't Produce A Gravitational Field)

Newton Is Wrong (No Planet Moves By The Sun Gravity)

Newton Is Wrong (Mass Gravity Can NOT Cause Any Motion)

The physics book is wrong (The Gravitational Waves Are Produced By The Planets Motions Energies)

The Sun Is Not Doing Nuclear Fusion To Produce Its Rays

The Big Bang Theory is Wrong (No Random Creation)

Newton is wrong (Planet Motion Does Not Depend On Its Mass)

Einstein is wrong (The original speed of light is 1.16 million km per second)

Giant- Impact Hypothesis is wrong (Mars Caused The Moon Creation)

Tidal Locking Theory Is Wrong 

Lorentz Transformation Are Correct

Newton Is wrong (The gravitation equation is wrong)

First Critic   The Physicist Vision Contradicts The Nature System

I study the solar system Geometry since long years- and- I have found the physicist and astronomer can't understand the solar system designer vision– in fact their vision contradict the Nature designer vision- let's prove that in following  

The Physicist Vision

The physicist supposes that there's (a unit of building)- by that- the physicist sees the mass (for example) as wall and this wall is consisted of bricks (small similar units) and for that the physicist searched for this (unit) because it's the (unit) by which the wall is building (the mass is building)– this is the physicist thinking direction- he believed there's a small unit by which the great building is built

For that the physicist searched and found the particle and then the particle is divided into Molecules then the Molecule is divided into atoms and the atom is divided into nucleus and electron moves around and the nucleus is divided into proton and Neutron- and the proton is divided into quarks …etc

The physicist searches for the building unit- the unit by which the building is built – or the unit by which the mass is built – for that the physicist divides (any thing) to see its contents till reach to the unit which can be used as the building unit. 

The Nature System Vision

The Nature designer aims to create integration- as the marriage – male and female- the relationship will cause to give birth for a child

INTEGRATION this is the word inside the designer Mind

No building unit- the marriage answers- because in marriage both (male and female) are required and no one of them better than the other – both work together and give equal effects on the same one process and give together one result- I explain the idea by the marriage because it's easy to understand- I want to put the word (Integration) as the basic concept in the designer mind.

AND

I want to explain how the physicist causes fatal error for the research method

While the physicist divides the elements one after one (from matter to particle to molecule to atom to proton to quarks …etc) this division from out into inner till reach to very small unit which he considered the building unit – that causes to destroy the geometrical design of the integration process

Let's return to the marriage- the marriage requires two players (male and female)- they have different bodies and the process give birth for children- Suppose we remove one player what would happen? (where can we find a woman pregnant by herself?)

I want to say- the division from (matter to particle to molecule to atom to proton to quarks …etc) destroys the general geometrical design which uses the integration process- let's give other examples

Example No. (1)   

Einstein told us (He can't find slightest meaning for the word SPACE) by that he can't define (what's the space) and also he found the space has no mechanical features because no definition causes these features – this is the physicist vision - Let's see the designer vision

Planet moves and its motion produces energy (1/2 mv^2) and where's the energy? the planet can't store its motion energy inside its body because this energy would raise the planet temperature and no planet temperature is raised by its motion- so- where's the planet motion energy? logically we suppose that- the energy is stored in the space in waves form- means- the planet moves and its motion energy creates waves in the space (as the fish swims in the sea and its motion creates waves in the sea water) similar to that the planet motion produces energy and this energy creates waves in the space- by that we can define the space and conclude the space nature and features- simply we conclude the space has mechanical features because the energy is stored in the space as moving waves- the gravitational waves prove the space has motion- why we can solve the question which Einstein couldn't solve? Because he supposed the planet is independent from the space- the integration concept is not known by him

Notice

The waves are produced by the planet motion energy are the gravitational waves, the paper first hypothesis proves these waves are produced by the planets motions energies and not by the gravitational field also the hypothesis proves the Sun doesn't produce a gravitational field.

More examples are provided after the hypotheses explanations 

Second Critic The physicist supposes Planet moves and doesn't produce motion energy

Planet motion energy analysis can refute many basic theories in the physics book as we will see in this discussion- for that- the physicist supposed planet motion doesn't produce energy- while- the mechanics basic law tells us (Any moving body produces energy =1/2 mv^2)-but- the physicist never answered the question (where's Planet motion energy?)-because- planet motion energy analysis proves the space has mechanical features and proves Mass gravity can NOT cause any motion and also proves the gravitational waves are produced by the planets motions energies and not by the gravitational field (even if found)- also it proves the sun is NOT doing nuclear fusion to produce its rays-

Here I explain why the physicist never answer the question (where's planet motion energy?)- the following critic uses planet motion energy analysis to prove that the space has mechanical features

Third Critic     Einstein is wrong (Space Has Mechanical Features)

Any moving body produces energy (1/2 mv^2) – for that-

Planet motion produces energy (1/2 mv^2) but where's this energy? the planet can't store its motion energy inside its body because this energy would raise the planet temperature and no planet temperature is raised by its motion- so- where's the planet motion energy? logically we suppose that- the energy is stored in the space in waves form- means- the planet moves and its motion energy creates waves in the space (as the fish swims in the sea and its motion creates waves in the sea water) similar to that the planet motion produces energy and this energy creates waves in the space- by that we can define the space and conclude the space nature and features- simply we conclude the space has mechanical features because the energy is stored in the space as moving waves- the gravitational waves prove the space has motion- by that- we are sure that the space has mechanical features

Notice – these waves are the gravitational waves

Fourth Critic   Einstein is wrong (The Sun Doesn't Produce A Gravitational Field)

The Refutation Of The Sun Gravitational Field

The Sun Doesn't Produce A Gravitational Field Nor Has Massive Gravity – let's prove that in following

(i)

The sun rotation period is (25.4 days– at equator) and (34.4 days – at pole) that shows the sun has no massive gravity nor even ordinary gravity equal any planet gravity otherwise the sun would rotate around its axis in one period of time- 

(ii)

No Planet Moves By The Sun Gravity–Newton is wrong- because- the planet moves by the force caused its creation- means- the planet creation and motion is done by one force only- because- if two forces have effects on the same one planet this planet would be broken- now- suppose the planet is created (by any force) and the sun gravity attracted this planet and forced it to revolve around the sun by the sun mass massive gravity (as Newton imagined) that would force the planet to move against its inner structure and will cause this planet to be broken- this is similar to a human is forced to walk on his hands in place of his legs and when this human refuses to do that (they told him we can force you by our power) for that this human walk on his hands forcedly and later this human is dead by this motion- shortly- the planet is NOT broken by its motion because the planet creation force is the force causes this planet motion- it's one force caused the planet creation and motion-

Newton mistake is that he didn't know how the planet is created and by that he didn't realize that planet creation and motion are done together by the same one source- simply- the sun didn't cause to create any planet and for that the sun doesn't cause any planet to move- this analysis shows logical base but left us with puzzles to know (by what rule the planet moves?) and (Why is the sun found in the solar system if it doesn't cause the planets motions?) these questions are answered in the paper abstract and discussions.  

(iii)

The mass gravity force can NOT cause any motion- again Newton is wrong- the mass gravity creates a bond between two masses- (the Earth and the moon are bond by the mass gravity)- by that they are similar to a lorry and its trailer – if the lorry moves the trailer will move with the lorry- but the mass gravity can NOT cause any motion- why? suppose the moon moves by the Erath gravity force- the moon moves and produces energy (1/2mv^2) and we have to ask from what source this energy will be provided?- from the mass itself- means if the Earth causes the moon to move the Earth and the moon masses should be decreased by the motion energy- this is a wrong definition for the mass gravity- the mass gravity creates a bond between two masses (The Earth and the moon) if some outer force causes the Earth to move the moon will move with the Earth and in this case the outer force will provide the motion energy for the Earth and the moon-

(iv)

The planets order contradicts Newton gravitation equation- where- the gravitation equation tells (greater mass necessitates shorter distance)- clearly- Jupiter the greatest mass is not the most near planet to the sun- means- the planets order contradicts the equation- when we asked the physicist told us this problem is done by (the initial conditions)- all these are nonsense clearly- planet orbital distance does NOT depend on the sun mass nor on the planet mass- planet orbital distance depends on the neighbor planet orbital distance – my equation proves this fact- let's see it

Planet orbital distance equation (my 1st equation)

d^2= 4do (d-do) where d= planet orbital distance and do= its neighbor distance

Example (1) Venus orbital distance (108.2)^2 = 4 x 57.9 x (50.3)                             

d= 108.2 million km = Venus Orbital Distance

d0= 57.9 million km  = Mercury Orbital Distance

50.3million km=The Distance Between Venus And Mercury  Venus Depends On Mercury

Example (2) Saturn orbital distance (1433)^2= 4 x 778.6 x 655

d= 1433 million km    = Saturn Orbital Distance

d0= 778.6 million km  = Jupiter Orbital Distance

655million km=The Distance Between Saturn And Jupiter Saturn Depends On Jupiter

All planets orbital distances are defined based on their previous neighbor planets orbital distances- the equation is correct perfectly and all planets orbital distances are defined by it- my paper tests and discusses this equation

Shortly- planet mass has no any effect on this planet orbital distance definition.

Notice

Planet orbital distance definition depends on its neighbor orbital distance this fact is proved by many other different methods my equation is one method only of them, all these methods don't use any planet mass- all planets orbits are defined based on their neighbor orbits- (Please note- Newton gravitation equation is wrong- I don't critic it by many critics to short the discussion- but- the fact is that- the light beam created all planets orbits before any planet creation- the light created each planet orbit depends on its neighbor orbit- I prove this fact in the paper discussion- logically this fact kills the gravitation equation because the orbit is created before the planet creation)  

Notice -Newton is so far from the truth- let's give one more example- Newton told us planet moves by the sun mass gravity- the fact is that- the Sun itself is created by the planets motions energies- that's why Newton ideas are not interesting for discussion because his ideas are imaginary have no part of truth-

(v)

Also-Newton told-planet motion depends on its mass- means-planet velocity depends on its mass- this also is imaginary idea- I define planet velocity in the paper abstract- planet velocity is defined by many rules all of them don't use any planet mass- at all Planet mass has no rule in this planet velocity definition.

Fifth Critic       Newton Is Wrong (No Planet Moves By The Sun Gravity)

This critic is written in the previous one (Fourth Critic)

Sixth Critic      Newton Is Wrong (Mass Gravity Can NOT Cause Any Motion)

Also this critic is written in the previous one (Fourth Critic)

Seventh Critic The physics book is wrong (The Gravitational Waves Are Produced By The Planets Motions Energies)

(1)

Planet Motion Energy Analysis - Let's remember planet motion energy analysis

Planet motion produces energy (1/2 mv^2), where's Planet motion energy? the planet can NOT store its motion energy inside its body because it would raise its temperature and No planet temperature is raised by its motion- logically- the planet motion energy is stored in the space in waves form- means- Planet motion energy creates waves in the space- the planet motion in the space is similar to a fish swimming in the sea- as the fish swimming creates waves in the water the planet motion energy creates waves in the space- let's see this picture clearly- the fish swims because it hits the water by its body and that creates waves in the water- we conclude, the water waves move by a velocity equal the fish velocity because of the reaction force- similar to that- Planet moves in the space and its motion energy creates waves in the space and these waves move by velocity equal the planet velocity- for example- Mercury (47.4 km/s) moves and its motion energy creates waves in the space and these waves move by equal velocity (47.4 km/s)- based on this idea- All planets move and their motions energies create waves in the space where each wave moves by velocity equal its planet velocity

(2)

These Waves Are The Gravitational Waves (My Hypothesis)

Means- the waves are produced by the planets motions energies- these waves are the gravitational waves- it's my paper hypothesis- the gravitational waves are not produced by the gravitational field (moreover the sun doesn't produce a gravitational field) instead the gravitational waves are produced by the planets motions energies 

AND

The planets revolve around the sun in the same one direction and for that their motions energies create waves in the space and these waves move perpendicular on the revolution direction (Toward Pluto orbit)

AND 

In Pluto orbit these waves are unified together into one unified wave- this wave moves by a velocity = 205.8 km/s why? The 9 planets velocities total=176 km/s but I add the Earth moon velocity (29.8 km/s) that makes the total to be 205.8 km/s – I add the moon velocity because the energy is stored finally in the moon orbit-

Note- The moon and the Earth revolve around the sun together for that the moon velocity is considered equal the Earth velocity relative to (the sun) –

The Conclusion

The Planet Motion Energy Creates Waves In The Space

Means - The Space Must Have Moving Waves  -

Now -the scientists had discovered waves in the space- And- they considered these waves are produced by The Sun Gravitational Field – BUT Why?

The planet motion energy analysis proves the waves must be produced by the planets motions energies- and I have refuted the sun gravitational field theory- by that- the gravitational waves must be produced by the planets motions energies

(3)

These Waves Reflections Effect and Proves

The paper proves that, the gravitational waves are reflected in the solar system three times and these reflections cause effects on the planets data and motion- the first branch hypothesis provides powerful proves for this fact which proves the gravitational waves are produced by the planets motions energies and not by any gravitational field (even if found)

Eighth  Critic  The Sun Is Not Doing Nuclear Fusion To Produce Its Rays

This Is Extraordinary: Gravity Can Create Light, All on Its Own

https://www.msn.com/en-us/news/technology/this-is-extraordinary-gravity-can-create-light-all-on-its-own/ar-AA19YL5d?ocid=hpmsnHYPERLINK "https://www.msn.com/en-us/news/technology/this-is-extraordinary-gravity-can-create-light-all-on-its-own/ar-AA19YL5d?ocid=hpmsn&cvid=620db4352aa943e2b454919a7b724604&ei=83"&HYPERLINK "https://www.msn.com/en-us/news/technology/this-is-extraordinary-gravity-can-create-light-all-on-its-own/ar-AA19YL5d?ocid=hpmsn&cvid=620db4352aa943e2b454919a7b724604&ei=83"cvid=620db4352aa943e2b454919a7b724604HYPERLINK "https://www.msn.com/en-us/news/technology/this-is-extraordinary-gravity-can-create-light-all-on-its-own/ar-AA19YL5d?ocid=hpmsn&cvid=620db4352aa943e2b454919a7b724604&ei=83"&HYPERLINK "https://www.msn.com/en-us/news/technology/this-is-extraordinary-gravity-can-create-light-all-on-its-own/ar-AA19YL5d?ocid=hpmsn&cvid=620db4352aa943e2b454919a7b724604&ei=83"ei=83

This new article tells the gravitational waves can move by speed of light and can produce a light beam- I claim the sun rays are produced based on this method by the gravitational waves motions and not by the sun nuclear fusion process- Means- the sun is not doing nuclear fusion to produce its rays- this is the paper main hypothesis – also I claim no star rays is created by any nuclear fusion process- but all stars rays are created by the gravitational waves motions as our sun

The paper all discussions and proves prove this hypothesis basically 

Ninth Critic   The Big Bang Theory is Wrong (Planet Diameter Is Created Based On A Mathematical Equation- No Random Creation)

The big bang theory tells- Planet is created by random process- and we asked (what does mean "By Random Process"?) the theory tells

Jupiter– for example- is created by random process-means- Jupiter diameter and mass are created with some unknown values for us- and during the history Jupiter is collided many times and these collisions changed Jupiter diameter and mass-

As a result the current value of Jupiter diameter (142984 km) is a value found by random because of the historical events   

Based on these ideas- the planets diameters are found without any rule or geometrical reason- means

While we know all planets diameters correctly- the astronomer couldn't use these diameters to discover the geometrical rule behind these diameters creation- the theory told No geometrical rule or reason-simply–Just Random process- the theory is wrong-      

In following I provide my planet diameter equation to prove planet diameter is created based on a mathematical equation and a geometrical reason

My Planet Diameter Equation (v1/v2)= (s/r)= I

v = Planet Velocity                          

r = Planet Diameter

I= Planet Orbital Inclination   

s= Planet Rotation Periods Number In Its Orbital Period

v2, s, r and I are belonged to one planet and v1 is belonged to another planet

The planet (v1) is defined by test the minimum error 

Earth Equation uses Neptune velocity                        

Mars Equation uses Pluto velocity

Jupiter Equation uses the Earth moon velocity      

Saturn Equation uses Mars velocity

Uranus Equation uses Neptune velocity (As Earth)

Neptune Equation uses Saturn velocity

Pluto Equation uses the Earth moon velocity (As Jupiter)

Example  Neptune Equation (89143 /49528) = 9.7/ 5.4 =1.8                  

89143                   = Neptune rotation periods number in Neptune orbital period

49528 km   = Neptune diameter            

9.7 km/s = Saturn velocity and

5.4 km/s      = Neptune velocity             

1.8 degrees= Neptune Orbital Inclination

59800 days = Neptune orbital period (and Neptune rotation period =16.1 hours)

The Equation Concept (A Summary) Planet diameter should be a function in its orbital distance –otherwise- this planet would be broken by its motion- BUT- the designer can't create a function has only 2 variables (Planet diameter and its orbital distance)- because– If this planet changes its orbital distance its diameter would be broken also because the diameter is a direct function in the orbital distance without any other variables -As A Result- the designer created planet diameter as a function in this planet rotation period and the planet rotation period is created as a function in this planet velocity and the planet velocity is created as a function in this planet orbital distance- by that- the function between Planet diameter and its orbital distance is created but also it contains many variables (rotation period, orbital period and velocity)- by that- if  the Planet changes its orbital distance- this planet orbital period, and velocity and rotation period would be changed but its diameter will be saved

NOTICE

The big bang theory is wrong in principle because it supposes the changes in the planet diameter (or mass) doesn't change this planet motion-

this is the main problem behind- and to see the picture more clear- let's give example

The physics book has theory explains the Earth motion- Now- the Earth diameter is 12756 km and we have to ask (if the Earth diameter be 18000 km) what are the changes in the Earth motion would be happened?

Generally- Nothing would be happened because the theory doesn't take into account the Earth diameter at all – means (whatsoever the Earth diameter be the theory will be the same) that explains the big bang wring ideas are not limited to the big bang theory but it extends in the physicist ideas and theories-

Tenth  Critic   Newton is wrong (Planet Motion Does Not Depend On Its Mass)

Planet velocity analysis shows planet velocity is defined by many rules No one of them is related to this planet mass- at all Planet mass is not mentioned in this planet velocity definition proves the mass has no any role in Planet velocity definition– please read Planet velocity definition in point no. (**) 

Eleventh Critic Einstein is wrong (The Original Speed Of Light Is 1.16 Million Km Per Second)

The solar system is created from one light beam energy- means- the solar planets matters and their distances are created from one energy and this one energy is provided by one light beam and this light beam moves by speed = 1.16 million km per second

The light (its speed 1.16 million km per second) built the solar system starting from Mercury orbit toward Pluto orbit- the light created the planets orbits before any planet creation- means- all orbits are created before any planet creation- the orbits are created based on each another (this fact is proved by my equation for planet orbital distance) after the light created all orbits and reach to Pluto orbit- the light energy is consumed in the space creation- and the rest energy is found in one light beam its speed is (300000 km/s = the known speed of light)- we understand this is one light beam its speed was 1.16 million km per second before the space creation (In Mercury Orbit) and its speed becomes 300000 km/s after the space creation (in Pluto orbit) as result for the energy consumption in the space creation- 

In Pluto orbit - the light could Not move any further to build any more orbits because any additional space creation will consume more energy and that will decrease the light speed to be less than 300000 km/s (the known speed of light) – and – No known light moves by speed less than 300000 km/s – means- the light had no energy to move any further after Pluto orbit- for that- the light returns to its origin point (Mercury orbit) for that the light is reflected with speed (300000 km/s) from Pluto orbit to Mercury orbit passing through the built orbits– no energy is required in this motion for that the light beam moves with speed of light (300000 km/s) till Mercury orbit.

The paper provides many powerful proves for this fact- here I refer to 3 proves only

(1st Proof)

Planet Velocity Analysis proves the speed 1.16 million km per second

Data

322 = 47.4 km/s (Mercury velocities)  x 6.8 km/s  (Uranus velocities)                         

322 = 35 km/s  (Venus velocity)       x 4.7 km/s (Pluto velocity) x 2                     

322 = 29.8 km/s (the Earth velocity)          x 5.4 km/s (Neptune velocities) x 2  

322 = 24.1 km/s (Mars velocity)       x 13.1 km/s (Jupiter velocity)                        

322 = (17.9 km/s)^2 (Ceres velocity)                               (Max error 2%)

Discussion

This is one rule used to define planet velocity- we know this rule (v1v2 = constant =322) – other rules are discussed in planet velocity definition- here we ask only

Why the constant is 322?? Because 1160000 seconds = 3600 x 322 hours

Means- the light moves 1.16 million km but we see it as 1160000 seconds and based on this period the constant 322 hours is defined and based on this constant the planets velocities are defined- means- the planets velocities are defined as functions in the speed 1.16 million km per second

(2nd Proof)

The planets orbital circumferences total is defined by light speed 1.16 million km per second- let's prove that 

100733 million km = 86400 seconds x 1160000 km/s

100733 million km = The Planets Orbital Circumferences Total

86400 seconds       = The solar day

Means- light its speed 1.16 million km per second passes in a solar day a distance = 100733 million km = The Planets Orbital Circumferences Total

The planets data analysis proves that the solar day is the major period of time in the solar system- that because- all planets orbits are defined based on it- the paper proves this fact strongly

(3rd Proof)

The planets orbits and orbital distances are created from the energy of the light beam its speed is 1.16 million km per second- for that- this speed is registered in the distances data – let's prove that in following

Example

778.6 million km (Jupiter orbital distance) = 1160000 km/s x 671 seconds

721 million km (Jupiter Mercury distance) = 1160000 km/s x 629 seconds

Where

671 million km = Jupiter Venus Distance

629 million km = Jupiter Earth Distance

This example tells that

The light (its speed 1.16 million km per second) created the distances based on each other- means

The light uses 671 million km (Jupiter Venus Distance) as a period of time 671 seconds to pass the distance 778.6 million km (Jupiter Orbital Distance)   

Also -the light uses 629 million km (Jupiter Earth Distance) as a period of time 629 seconds to pass the distance 721 million km (Jupiter Mercury Distance)   

By this method the light (1.16 million km per second) creates the distances based on each other- the previous data is example for so many other distances let's see them in following

(778.6 / 671)= (721/629) = (629/551)= (2x551/940)= (4900/4188) = (5906/5127)= (5127/4437) = (4345/3717)= 1.16

Where

778.6 million km = Jupiter Orbital Distance 

721 million km    = Jupiter Mercury Distance 

671 million km    = Jupiter Venus Distance 

629 million km    = Jupiter Earth Distance 

551 million km    = Jupiter Mars Distance 

940 million km    = Earth Orbital Circumference

4188 million km  = 2 x 2094  million km (Jupiter Uranus Distance)

4900 million km  = Jupiter Orbital Circumference

5906 million km  = Pluto Orbital Distance

5127 million km  = Pluto Jupiter Distance

4437 million km  = Mercury Neptune Distance

4345 million km  = The Earth Neptune Distance

3717 million km  = Jupiter Neptune Distance

The paper provides so many other powerful proves for the speed 1.16 million km

Notice

 (1.16/0.3) x 2π = 24.3

The equation tells, because the solar system is created by light beam its speed 1.16million km per second with its other speed 300000 km/s

For that - the space is created in curved lines (2π) and the time is created based on the solar day (24 hours)- that explains why the planets orbital circumferences total depends on the solar day period

Twelfth Critic Giant- Impact Hypothesis is wrong (Mars Caused The Moon Creation)

Mars Is The Planet Caused The Earth Moon Creation

Let's prove that in following 

Mars Original Orbit Was Between Mercury And Venus with orbital distance = 84 million km

The order (Mercury– Mars – Venus – Earth) shows correct order in planets diameters, and orbital distances (and masses) 

BUT – Mars had migrated from its original orbit (between Mercury and Venus) to its current one (227.9 million km) and Mars had collided with Venus and then with the Earth in its migration motion – and Mars itself has caused the Earth moon creation.  

My Theory (Mars Migration Theory) answers many left questions by Giant-Impact Hypothesis – for example -

Why Does Venus Have No Moon?

Mars had migrated from its original orbit (between Mercury and Venus) – and moved to its current orbit (227.9 million km) – BUT- Mars had moved under force and push – and then Mars had collided with Venus –and Mars had pushed ALL DEBRIS with it in its Motion Direction because of its strong motion  

Venus had found No Debris around and for that Venus couldn't create its moon

But– the Earth gravity is greater than Venus' and the debris lost some of their momentum for that the Earth could attracted some debris and created its moon.

Mars has 2 moons and this fact supports my theory because Mars with small mass could attract two  moons because the debris were around it while Venus has greater mass but couldn't create its moon because the debris are moved with Mars motion.

The rest debris are attracted by Jupiter gravity and created the asteroid belt 

My paper provides many powerful proves for Mars Migration Theory

Thirteenth Critic Tidal Locking Theory Is Wrong 

The moon orbital period = the moon rotation period =27.3 days Not because of any tidal locking – this theory is wrong

The moon periods equality is found necessary to be used by Planet Diameter Equation

In fact- my planet diameter equation can work by depending on one planet its rotation period = its orbital period- this feature was Venus feature- means- in ancient Venus orbital period was equal Venus rotation period =243 solar days and my planet diameter equation depended on Venus to defines each planet diameter

But Neptune caused to create relativistic effects in the solar system- the relativistic effects caused to cerate Lorentz length contraction effect with the rate 7.1 and the solar system uses this rate by geometrical modification as (1+  7.1/100) = 1.0725  

Shortly- Venus orbital period (as many other planets data) is effected by the rate 1.0725 and so Venus orbital period is decreased from 243 days to be 224.7 days

Because Venus orbital period (224.7 days) becomes different from Venus rotation period (243 days) that caused great problem for planet diameter equation and put all planets diameters in serious risk –

For that-Venus created an effect on the Moon motion and caused the moon rotation period to be equal the moon orbital period =27.3days and by that my planet diameter equation can work normally again by using the moon motion in place of Venus motion

Shortly –No tidal locking is used to make the moon rotation period to be = the moon orbital period

Fourteenth Critic Lorentz Transformation Are Correct

Lorentz transportation tells us

If a particle moves by high speed motion (near to speed of light), this particle length would be contracted and its mass would be increased and its time would be dilated

BUT -

Many physics Books tell the following

(NO Real Change Is Done For Any Particle Data Moves By High Speed Motion But All Changes Are Illusions Of Measurements)- means-

While a particle is moving by high speed motion and the experiments results show contraction in its length and increasing in its mass and dilation in its time – these changes in measurements are just illusions and the particle itself has no change in any data

Tenth of books tell this meaning clearly and with confirmation and the physicist killed Lorentz work and made Lorentz transformation measures illusions and not facts- regardless the empirical proves-

I stand in front of the books and can't realize what's happening –I refuse these books idea because

The Physics Is The Measurements Science And What's Measured Is The Fact

If no real changes are done how the problem of Michelson and Morelly experiment is solved?- also- we can't understand why the synchronous events in one frame can't be synchronous in another (as Einstein stated) where no change is found for any data- the distances are Not contracted nor the time is dilated nor the mass is increased why the events can NOT be synchronous in any frame?  

If the particle own data are measured correctly while it moves by my motion velocity and these measurements are suffered from illusions because the particle moves by high velocity motion relative to my motion velocity that means (I'm the universe reference point)

We notice- Lorentz length contraction equation can't distinguish between particle length and a distance, both can be contracted by the same one equation- that supports my theory tells (Matter And Space Are Created From The Same Energy)– If the space is similar to the sea of water the matter will be similar to a whirlpool (or vortex) on the sea page- both matter and space are created from the same one energy- that gives chance to change the matter dimensions by its motion

My planet diameter equation proves Planet diameter is created depending on its velocity- means- for example– Neptune diameter is 49528 km because Neptune velocity is 5.4 km/s- this fact is proved by my Equation strongly - that tells the motion has effect on the matter dimensions and data definition which supports the same meaning of Lorentz transformation.

In fact- my planet diameter equation is the main motive behind this fighting because the equation proves strongly Planet diameter is created based on its velocity- the velocity is defined before creation- the problem here is in the definition of matter- the wrong definition of matter caused this problem while my planet diameter equation proves that the planet diameter is defined based on its velocity

Please read the paper definitions which change the matter definition and prove the matter data is created depending on its motion

Fifteenth Critic Newton Is Wrong (The Gravitation Equation Is Wrong)

What's the first mistake in the physics book? (The Gravitation Equation)

The main problem here is that – the gravitation equation contradicts the planets order- the equation tells (more mass necessitates Shorter distance) but the planets are ordered in opposite direction – for example- (Mercury- Venus – Earth) this order tells more mass necessitates Longer distance

The equation clearly contradicts the planets order-( Jupiter the greatest mass is not the first planet) 

But- the physicist doesn't see this problem and invented ideas to cover this contradiction- for that- the physicist told us (Planet Initial Condition Prevents The Planet To Follow The Gravitation Equation Rule)- that tells the gravitation equation lost all support from the planets data and even it contradicts the planets order but the physicist knows the secret of this contradiction and we should trust this contradiction is not real one

This was a sad day in the human history- because we needed ideas can explain the planets motions and data but the physicist ideas removed even the planets data which is the only facts we have- and the physicist gave us lies and imaginary pictures that was the starting of the errors occupied the physics book since long time

Now – let's ask – How does planet define its orbital distance? Planet defines its orbit based on its neighbor orbit (planet mass has no relationship)- let's see the proof

My Planet Orbital Distance Equation d^2=4 d0 (d- d0)

d = A Planet Orbital Distance AND d0= Its Direct Previous Neighbor Planet Orbital Distance

VENUS ORBIT                     (108.2)^2 = 4 x 57.9 x (50.3)                                       

d= 108.2 million km      = Venus Orbital Distance             

d0= 57.9 million km       =Mercury Orbital Distance

50.3 million km             = The Distance Between Venus And Mercury 

Venus Depends On Mercury

SATURN ORBIT                   (1433.5)^2 = 4 x 778.6 x (1433.5- 778.6)          

d= 1433.5 million km    =Saturn Orbital Distance    

d0= 778.6 million km     =Jupiter Orbital Distance

Saturn depends on Jupiter

URANUS ORBIT                  (2872.5)^2 = 4 x 1433.5 x (2872.5- 1433.5)                

d= 2872.5 million km     = Uranus Orbital Distance    

d0= 1433.5 million km  = Saturn Orbital Distance 

Uranus depends on Saturn

The Paper Tests My Equation With All Planets Orbital Distances And Discusses The Equation Concept-

Please Note- light created the space in orbits depending on each other before any planet creation- means- the planets orbits are created before any planet creation and by that planet mass has no relationship with its orbit definition-

In fact- the planets orbits are created by light motion and that is proved by different powerful planets data –my planet orbital distance equation is one method only and there are many other methods prove the orbits are created based on each other without any effect of any planet mass- shortly- the basic idea is wrong

The paper provides these different methods and proves the planets orbits are created by light motion before any planet creation

PAPER FIRST HYPOTHESIS

Paper first hypothesis

The gravitational waves are produced by the planets motions energies and not by the gravitational field (Moreover the sun is not producing a gravitational field) and

The gravitational waves are reflected three times in the solar system (from Pluto and Neptune to Saturn) and (From Uranus to Jupiter) and (from Venus to Mars) –

The gravitational waves reflection causes changes in the planets data- and these changes are repeated with each reflection- means- these changes are found by rules because it's repeated with each reflection clearly- that shows the planets use similar behaviors to create their data which proves one reason causes to create all this data

Also- the wave energy reflection causes to square the wave velocity – the velocity square is the most important feature of the energy reflection because it enables the waves to move by speed of light- that explains how the gravitational waves can move by speed of light in the solar system- the motion by speed of light is produced only by the wave energy reflection (and without the reflection this motion can't be done)     

Paper 1st hypothesis (The objective of the hypothesis)

I prove that the gravitational waves are produced by the planets motions energies and these waves are reflected in the solar system three time and the reflection of the wave energy causes to square the wave velocity (the velocity squaring is the important feature I prove in the paper because the light beam is reflected but its speed is NOT squared and that means the wave velocity squaring is feature of the space) and it's very important to prove the wave velocity is squared by the reflection because this process enables the waves to move by speed of light and that explains how the gravitational waves can move by speed of light – as this new article states

This Is Extraordinary: Gravity Can Create Light, All on Its Own

https://www.msn.com/en-us/news/technology/this-is-extraordinary-gravity-can-create-light-all-on-its-own/ar-AA19YL5d?ocid=hpmsnHYPERLINK "https://www.msn.com/en-us/news/technology/this-is-extraordinary-gravity-can-create-light-all-on-its-own/ar-AA19YL5d?ocid=hpmsn&cvid=620db4352aa943e2b454919a7b724604&ei=83"&HYPERLINK "https://www.msn.com/en-us/news/technology/this-is-extraordinary-gravity-can-create-light-all-on-its-own/ar-AA19YL5d?ocid=hpmsn&cvid=620db4352aa943e2b454919a7b724604&ei=83"cvid=620db4352aa943e2b454919a7b724604HYPERLINK "https://www.msn.com/en-us/news/technology/this-is-extraordinary-gravity-can-create-light-all-on-its-own/ar-AA19YL5d?ocid=hpmsn&cvid=620db4352aa943e2b454919a7b724604&ei=83"&HYPERLINK "https://www.msn.com/en-us/news/technology/this-is-extraordinary-gravity-can-create-light-all-on-its-own/ar-AA19YL5d?ocid=hpmsn&cvid=620db4352aa943e2b454919a7b724604&ei=83"ei=83

The article tells, the gravitational waves can move by speed of light and can produce a light beam- here I explain how the gravitational waves can move by speed of light (please note the article still believes the gravitational waves are produced by the gravitational field – I refuse this idea – the gravitational waves are produced by the planets motions energies but the article states that the gravitational waves can move by speed of light and can produce a light beam and I accept this idea and I explain and prove how the gravitational waves can move by speed of light) 

Paper 1st hypothesis Proof (The Proving Method)

I compare between the planets data in the three reflections of the wave- I put the planets data in comparison to each other for each reflection to prove the planets use similar behaviors to define their data and this similar behavior proves one force (or one reason) is found behind- and this one reason is the wave energy reflection which causes to create all this data –

The wave energy reflection effect on the solar system design (A Summary)

The reflections cause defined changes in the planets data – and

The most important change is (the wave velocity square) – and this velocity squaring is very important because it enable the gravitational waves to move by speed of light – the motion by speed of light is very effective on the solar system design because it defines the planets distribution between the sun and Pluto– this fact is explained in point no. (**) 

Paper 1st hypothesis Explanation and Proof Discussion

Paper 1st hypothesis Explanation and Proof Discussion

The explanation is discussed in two parts

1ST PART

I- Preface

II- The Comparison

III- The explanation of the wave energy reflection effect on the solar system design

2nd PART

The Gravitational Waves Reflection Detailed Discussion

(Paper 1st hypothesis Explanation) 1ST PART

I- Preface

(1)

Planet Motion Energy Analysis

Planet motion produces energy (1/2 mv^2), where's Planet motion energy? the planet can NOT store its motion energy inside its body because it would raise its temperature and No planet temperature is raised by its motion- logically- the planet motion energy is stored in the space in waves form- means- Planet motion energy creates waves in the space- the planet motion in the space is similar to a fish swimming in the sea- as the fish swimming creates waves in the water the planet motion energy creates waves in the space- let's see this picture clearly- the fish swims because it hits the water by its body and that creates waves in the water- we conclude, the water waves move by a velocity equal the fish velocity because of the reaction force- similar to that- Planet moves in the space and its motion energy creates waves in the space and these waves move by velocity equal the planet velocity- for example- Mercury (47.4 km/s) moves and its motion energy creates waves in the space and these waves move by equal velocity (47.4 km/s)- based on this idea- All planets move and their motions energies create waves in the space where each wave moves by velocity equal its planet velocity

(2)

These Waves Are The Gravitational Waves (My Hypothesis)

Mans- the waves are produced by the planets motions energies- these waves are the gravitational waves- it's my paper 1st hypothesis- the gravitational waves are not produced by the gravitational field (moreover the sun doesn't produce a gravitational field) instead the gravitational waves are produced by the planets motions energies 

AND

The planets revolve around the sun in the same one direction and for that their motions energies create waves in the space and these waves move perpendicular on the revolution direction (Toward Pluto orbit)

AND 

In Pluto orbit these waves are unified together into one unified wave- this wave moves by a velocity = 205.8 km/s why? The 9 planets velocities total=176 km/s but I add the Earth moon velocity (29.8 km/s) that makes the total to be 205.8 km/s – I add the moon velocity because the energy is stored finally in the moon orbit-

Note- The moon and the Earth revolve around the sun together for that the moon velocity is considered equal the Earth velocity relative to (the sun) –

The 1st Conclusion

The Planet Motion Energy Creates Waves In The Space

Means - The Space Must Have Moving Waves  -

Now -the scientists had discovered waves in the space- And- they considered these waves are produced by The Sun Gravitational Field – BUT Why?

The planet motion energy analysis proves the waves must be produced by the planets motions energies- Now let's refute the sun gravitational field theory- the refutation gives support for the conclusion – the gravitational waves are produced by the planets motions energies and NOT by the gravitational field because there's NO Gravitational field.

(3)

The Refutation Of The Sun Gravitational Field

The Sun Doesn't Produce A Gravitational Field Nor Has Massive Gravity – let's prove that in following

(i)

The sun rotation period is (25.4 days– at equator) and (34.4 days – at pole) that shows the sun has no massive gravity nor even ordinary gravity equal any planet gravity otherwise the sun would rotate around its axis in one period of time- 

(ii)

No Planet Moves By The Sun Gravity–Newton is wrong- because- the planet moves by the force caused its creation- means- the planet creation and motion is done by one force only- because- if two forces have effects on the same one planet this planet would be broken- now- suppose the planet is created (by any force) and the sun gravity attracted this planet and forced it to revolve around the sun by the sun mass massive gravity (as Newton imagined) that would force the planet to move against its inner structure and will cause this planet to be broken- this is similar to a human is forced to walk on his hands in place of his legs and when this human refuses to do that (they told him we can force you by our power) for that this human walk on his hands forcedly and later this human is dead by this motion- shortly- the planet is NOT broken by its motion because the planet creation force is the force causes this planet motion- it's one force caused the planet creation and motion-

Newton mistake is that he didn't know how the planet is created and by that he didn't realize that planet creation and motion are done together by the same one source- simply- the sun didn't cause to create any planet and for that the sun doesn't cause any planet to move- this analysis shows logical base but left us with puzzles to know (by what rule the planet moves?) and (Why is the sun found in the solar system if it doesn't cause the planets motions?) these questions are answered in the paper abstract and discussions.  

(iii)

The mass gravity force can NOT cause any motion- again Newton is wrong- the mass gravity creates a bond between two masses- (the Earth and the moon are bond by the mass gravity)- by that they are similar to a lorry and its trailer – if the lorry moves the trailer will move with the lorry- but the mass gravity can NOT cause any motion- why? suppose the moon moves by the Erath gravity force- the moon moves and produces energy (1/2mv^2) and we have to ask from what source this energy will be provided?- from the mass itself- means if the Earth causes the moon to move the Earth and the moon masses should be decreased by the motion energy- this is a wrong definition for the mass gravity- the mass gravity creates a bond between two masses (The Earth and the moon) if some outer force causes the Earth to move the moon will move with the Earth and in this case the outer force will provide the motion energy for the Earth and the moon-

(iv)

The planets order contradicts Newton gravitation equation- where- the gravitation equation tells (greater mass necessitates shorter distance)- clearly- Jupiter the greatest mass is not the most near planet to the sun- means- the planets order contradicts the equation- when we asked the physicist told us this problem is done by (the initial conditions)- all these are nonsense clearly- planet orbital distance does NOT depend on the sun mass nor on the planet mass- planet orbital distance depends on the neighbor planet orbital distance – my equation proves this fact- let's see it

Planet orbital distance equation (my 1st equation)

d^2= 4do (d-do) where d= planet orbital distance and do= its neighbor distance

Example (1) Venus orbital distance (108.2)^2 = 4 x 57.9 x (50.3)                             

d= 108.2 million km = Venus Orbital Distance

d0= 57.9 million km  = Mercury Orbital Distance

50.3million km=The Distance Between Venus And Mercury  Venus Depends On Mercury

Example (2) Saturn orbital distance (1433)^2= 4 x 778.6 x 655

d= 1433 million km    = Saturn Orbital Distance

d0= 778.6 million km  = Jupiter Orbital Distance

655million km=The Distance Between Saturn And Jupiter Saturn Depends On Jupiter

All planets orbital distances are defined based on their previous neighbor planets orbital distances- the equation is correct perfectly and all planets orbital distances are defined by it- my paper tests and discusses this equation

Shortly- planet mass has no any effect on this planet orbital distance definition.

Notice

Planet orbital distance definition depends on its neighbor orbital distance this fact is proved by many other different methods my equation is one method only of them, all these methods don't use any planet mass- all planets orbits are defined based on their neighbor orbits- (Please note- Newton gravitation equation is wrong- I don't critic it by many critics to short the discussion- but- the fact is that- the light beam created all planets orbits before any planet creation- the light created each planet orbit depends on its neighbor orbit- I prove this fact in the paper discussion- logically this fact kills the gravitation equation because the orbit is created before the planet creation)  

Notice -Newton is so far from the truth- let's give one more example- Newton told us planet moves by the sun mass gravity- the fact is that- the Sun itself is created by the planets motions energies- that's why Newton ideas are not interesting for discussion because his ideas are imaginary have no part of truth-

(v)

Also-Newton told-planet motion depends on its mass- means-planet velocity depends on its mass- this also is imaginary idea- I define planet velocity in the paper abstract- planet velocity is defined by many rules all of them don't use any planet mass- at all Planet mass has no rule in this planet velocity definition.

The 2nd Conclusion

The Gravitational Waves Are Produced By The Planets Motions Energies And Not By The Sun Gravitational Field- Also-There's No Gravitational Field At All

(4)

The Wave Reflection Trajectory

Let's remember what we know till now

(a)

Planet motion produces energy (1/2 mv^2) and this energy creates waves in the space and each wave moves by its planet velocity- these waves move toward Pluto (perpendicular on the revolution direction) and in Pluto orbit these waves are unified into one unified wave moves by velocity = the planets velocities total = 205.8 km/s  

Means- while the planets revolve around the sun in their orbits by their velocities- there's one unified wave revolves around the sun moving by 205.8 km/s and this unified wave revolves around The Sun In Pluto Orbit-this unified wave is The Gravitational Wave  

Now- this unified wave is reflected from Pluto to Venus orbit- Means- the unified wave is reflected and sent from Pluto to Neptune to the next planets till reach Venus 

The unified wave is reflected three times in the solar system

(from Pluto and Neptune to Saturn) and

(from Uranus and Jupiter) and

(from Venus to Mars)

With each reflection of the wave defined changes are done for the planets data

But let's refer to the general design behind these three reflections in following

(b)

We remember this new article

This Is Extraordinary: Gravity Can Create Light, All on Its Own

https://www.msn.com/en-us/news/technology/this-is-extraordinary-gravity-can-create-light-all-on-its-own/ar-AA19YL5d?ocid=hpmsnHYPERLINK "https://www.msn.com/en-us/news/technology/this-is-extraordinary-gravity-can-create-light-all-on-its-own/ar-AA19YL5d?ocid=hpmsn&cvid=620db4352aa943e2b454919a7b724604&ei=83"&HYPERLINK "https://www.msn.com/en-us/news/technology/this-is-extraordinary-gravity-can-create-light-all-on-its-own/ar-AA19YL5d?ocid=hpmsn&cvid=620db4352aa943e2b454919a7b724604&ei=83"cvid=620db4352aa943e2b454919a7b724604HYPERLINK "https://www.msn.com/en-us/news/technology/this-is-extraordinary-gravity-can-create-light-all-on-its-own/ar-AA19YL5d?ocid=hpmsn&cvid=620db4352aa943e2b454919a7b724604&ei=83"&HYPERLINK "https://www.msn.com/en-us/news/technology/this-is-extraordinary-gravity-can-create-light-all-on-its-own/ar-AA19YL5d?ocid=hpmsn&cvid=620db4352aa943e2b454919a7b724604&ei=83"ei=83

The article tells, the gravitational waves can move by speed of light and can produce a light beam-

My hypothesis tells (the reflection of energy causes to square the wave velocity)

Let's put the ideas beside one another to see the general design

The gravitational waves can move by speed of light AND can produce a light beam – How?? if the motion is done by speed of light (C=300000 km/s) how can this motion produce a light beam? Because the light beam is produced from the value (C^2 = squared speed of light) – here we see the energy reflection effect- the wave moves by speed of light and when this wave is reflected its velocity is squared and produced the value (C^2 = squared speed of light) from which the light beam is created-

Means

The machine needs one reflection to change the speed from (speed of light C=30000 km/s to the value C^2 =squared speed of light) and by that the light beam is created

Now – let's ask -

How can the wave moves by speed of light?

We remember- the one unified wave (the gravitational wave) moves in Pluto orbit with velocity 205.8 km/s – how can this gravitational wave moves by speed of light? 

By another reflection of energy – let's see that in following

300000 km/s = (205.8 km/s)^2 x 7.1

This equation tells

The unified wave (the gravitational wave) moves by 205.8 km/s and it's reflected, the waves reflection causes to square the velocities

(205.8 km/s)^2 = 42683 km/s

Means the gravitational wave after the reflection moves by a velocity 42683 km/s

BUT

If a particle moves by speed (=0.99 C=297000 km/s), this high velocity motion causes to create relativistic effects specially Lorentz length contraction effect with rate 7.1

Means- the distances should be contracted by the rate 7.1

BUT

The waves reflection causes to reflect the geometrical effects and by that the rate (7.1) will cause to increase the length in place of the length contraction- means- the distances will be increased with (7.1) as a result for Lorentz length contraction effect

The velocity 42683 km/s will be 42683 x 7.1 = 300000 km/s (Speed Of Light) 

That explains how the gravitational waves move by (205.8 k/s) can move by speed of light (C=300000 km/s)

Here we see clearly that

The machine needs one energy reflection only to accelerate the wave velocity from 205.8 km/s to move by speed of light (C=300000 km/s)

And

The machine needs one more reflection only to change the wave speed from the speed of light (C=300000 km/s) to (C^2 =squared speed of light) by which the light beam is created

Shortly -the machine needs only two reflections of energy to produce the light beam from the gravitational waves motions

Now – let's ask– Why Are There Three Reflections Of Energy In The Solar System? If The Machine Needs Just Two Reflections Why The Machine Uses Three Reflections? 

Because of Neptune negative effect on the solar system motion- Neptune caused to repeat the energy reflection and by that the solar system uses 2 reflections in the outer planets and one reflection in the inner planets- this result is done by Neptune negative effect on the solar system motion – as explained in details in the third hypothesis.   

(c)

Please note- the two reflections in the outer planets are done to produce a result of one reflection only and for that the two reflections are complementary one another as we will discuss- shortly- we can say there's one unified reflection of the wave in the outer planets and one single reflection of the wave in the inner planets because the two reflections in the outer planets are complementary each other and produce a result of one reflection only – spite of that- the planets data prove clearly there are three reflections in the solar system- means- while the wave reflections are three they do effect of two reflections only – as we will discuss in details in following

(5)

 The Wave Acceleration Process

Now we know the unified wave velocity is 205.8 km/s and this wave is accelerated to move by speed of light (C=300000 km/s) by one reflection and then this wave moves by speed of light is accelerated one more time to produce the value (C^2= squared speed of light)  by another reflection   

But where's this happened? In which planets orbits this is happened?

Shortly

The wave moves by 205.8 km/s in the orbits of Planets (Pluto – Neptune and Uranus) and

The wave velocity is accelerated to move by speed of light in Saturn orbit

Means- Starting from Saturn orbit the unified wave moves by speed of light – the wave speed is speed of light in all orbits from Saturn to Venus

And

Venus reflected the wave to Mars and that causes to accelerate the wave velocity from the speed of light (C=300000 km/s) to (C^2= squared speed of light)- in the moon orbit between Venus and Mars    

(6)

 Planet Definition 

(A)

The physics book defines the planet as (Planet is solid body created independently from the space and the other planets)–if so- how can the gravitational waves reflection have effects on the planets data??

My definition for the planet is

Planet is a geometrical point carried on the moving energy (or Planet is a geometrical point found on a light beam) – let's explain this definition in following

The matter and space both are created from the same one energy- means

The planets matters and their distances both are created from the same one energy- the matter and space move depending on the motion of this energy from which they are created-means- the matter isn't moving by the mass gravity – Newton is wrong- the matter moves by the motion of the energy from which the matter is created- 

Based on this idea

The space is similar to the sea of water- and the matter is similar to a whirlpool (vortex) is found on the sea page- the matter creates for itself a geometrical frame (a distinguished form from the space) and moves by a different velocity from the space motion- as the whirlpool (vortex) on the sea page- it's created by the sea water but it has a distinguish form from the sea waves and it moves by a different velocity from the sea waves- this explanation shows how the moving energy can effect on the matter creation data- for example- we have a whirlpool (vortex) its diameter is 2 meters how is this whirlpool created? and why does its diameter equal = 2 meters? The diameter is created as a result for the water motion velocity, pressure, amount and motion angle and many other features of (the moving water)- the moving water creates this whirlpool with diameter 2 meters and as long as the water motion is not changed this diameter will not be changed also-   

Let's give another example

The energy motion is similar to the blood motion in a creature body- suppose- we examine now a liver of human - the blood motion causes this liver to work perfectly but if the blood motion is changed that would cause changes for the liver cells and job – suppose the blood have some poison the liver will be dead- suppose the pressure is raised- I want to say- the liver is a piece of body (matter) but it depends on the blood motion and this blood motion defines this liver dimensions and data- 

Shortly–the matter is similar to a muscle in a creature- the muscle may be so strong as a rock but it depends on the blood motion (similar to that the matter is found depending on the motion of energy from which this matter is created)

That explains how the gravitational waves reflection have effects on the planets data- still the planet is a solid body and the wave is a wave- the wave can be reflected but the solid body can NOT be reflected spite of that the planets data is reflected one another because the reflected waves have effects on the moving energy by which this planet (solid body) is created-

(B)

We should see the depth of this new definition-

The definition tells us

The matter (planet) is created by energy and the matter moves with this energy- means- this energy is the mother of this matter- this energy created the matter and caused this matter motion-BUT- this definition tells- the matter motion is defined before the matter creation- means- Planet motion is defined before this planet creation- How can that be possible? Because –

The energy is found alone in motion (the sea water was in motion) and the energy created the matter and this matter dimensions and data is defined based on the energy motion features (as discussed before- the whirlpool "vortex" is created with diameter 2 meters and this diameter is defined by the water motion features "velocity- pressure- angle- amount …etc") by that the matter dimensions are defined by the mother energy motion features - AND after the matter creation, the matter moves with the mother energy- by that- the created matter moves the same motion based on which this matter dimensions and data is defined- that explains how the planet motion is defined before the planet creation-

This fact is proved by my planet diameter equation because it proves strongly that the planet diameter is created based on its velocity- means- the equation proves – for example – Neptune diameter is 49528 km because Neptune velocity is 5.4 km/s and Neptune velocity is defined before Neptune diameter- let's remember this equation

My Planet Diameter Equation (v1/v2)= (s/r)= I

v = Planet Velocity                                                       

r = Planet Diameter

s= Planet Rotation Periods Number In Its Orbital Period

I= Planet Orbital Inclination        (example, 1.8 degrees be produced as a rate 1.8)

v2, s, r and I are belonged to one planet and v1 is belonged to another planet

The planet (v1) is defined by test the minimum error 

Earth Equation uses Neptune velocity

Mars Equation uses Pluto velocity

Jupiter Equation uses the Earth moon velocity

Saturn Equation uses Mars velocity

Uranus Equation uses Neptune velocity (As Earth)

Neptune Equation uses Saturn velocity

Pluto Equation uses the Earth moon velocity (As Jupiter)

Example    

Neptune Equation (89143 /49528) = 9.7/ 5.4 =1.8               

89143                   = Neptune rotation periods number in Neptune orbital period

49528 km   = Neptune diameter

9.7 km/s      = Saturn velocity

5.4 km/s      = Neptune velocity

59800 days = Neptune orbital period (and Neptune rotation period =16.1 hours)

1.8 degrees = Neptune Orbital Inclination

The Equation Concept (A Summary)

Planet diameter should be a function in its orbital distance –otherwise- this planet would be broken by its motion- BUT- the designer can't create a function has only 2 variables (Planet diameter and its orbital distance)- because– If this planet changes its orbital distance its diameter would be broken also because the diameter is a direct function in the orbital distance without any other variables -As A Result  

The designer created the planet diameter as a function in this planet rotation period and the planet rotation period is created as a function in this planet velocity and the planet velocity is created as a function in this planet orbital distance- by that- the function Planet diameter and its orbital distance is created but also it contains many variables (rotation period, orbital period and velocity)- by that- if a Planet changes its orbital distance- this planet orbital period, and velocity and rotation period would be changed but its diameter will be saved-

(C)

The previous explanation helps us to see how the planet is created- also we remember Kepler rule (Planet Orbit Defines Its Velocity)  

The orbit is created at first and the orbit defines the motion velocity and the planet diameter is created based on this velocity –means- the space is created before the matter creation- Shortly- The planet orbit is created (from the mother energy) before this planet creation and the planet is created later (by this energy motion features) and the planet data is defined based on this motion features and the planet moves after Creation with this mother energy motion- and– in case any planet after creation changes its orbit the planet motion data be changed but its creation data is saved- we should note that the space must be created based on a geometrical design-means- the solar system space (all orbits) is designed based on one geometrical design before any planet creation

(D)

The planet is a geometrical point on the mother energy and moves with it –Or

The planet is a geometrical point on the same light beam and moves with it

That tells

The solar planets are geometrical points found on the same one light beam and move with this light beam motion

By that- the planets are similar to carriages in one train –and the light beam (the mother energy) is the engine of this train- the light moves and causes all planets motions  (as the sea water moves and causes all ships motions)

Here we conclude that the planets motions are similar to the chess board motions because it depends on geometrical rules in all details- that's why the analysis is so useful because it can show the geometrical design found by the planets motions integration.

(E)

The planet definition answers the question

If The Gravitational Waves Are Reflected Why This Reflection Have Effects On The Planets Data?

Because the waves reflection causes to define the energy motion direction and by that the planets data is changed and effected by the moving energy through these planets-

The effects on the planets data is very useful because it proves the reflection is a fact as we discussed later

(7)

 The Energy Distribution In The Solar System

Now we know

The unified wave (the gravitational wave) moves by 205.8 km/s in the orbits of Pluto, Neptune and Uranus and

The unified wave motion is accelerated to move by speed of light (C=300000 km/s) in all planets orbits Starting from Saturn to Venus

And Venus reflected the wave to Mars and by that the speed of light is squared to produce (C^2= squared speed of light) by which the light beam is created  

Can The Wave Different Speeds Have Effect On The Solar System Design? YES

The three planets (Pluto, Neptune and Uranus) have great areas because the wave velocity is 205.8 km/s means massive amounts of energy is stored in these orbits as waves move by 205.8 km/s-

But

Starting from Saturn orbit the wave moves by speed of light (C=300000 km/s) that doesn't need great areas because the energy is found in waves move by speed of light that explains why the planets orbits be small orbits (from Saturn to Venus) and even the inner planets have very small orbits because the energy is not stored in the inner planets orbits but the energy is used directly to produce the sun rays- that shows the planets distribution between the Sun and Pluto is related to the wave velocity changes

(8)

 Planet Motion Definition

Let's ask

This Is Extraordinary: Gravity Can Create Light, All on Its Own

https://www.msn.com/en-us/news/technology/this-is-extraordinary-gravity-can-create-light-all-on-its-own/ar-AA19YL5d?ocid=hpmsnHYPERLINK "https://www.msn.com/en-us/news/technology/this-is-extraordinary-gravity-can-create-light-all-on-its-own/ar-AA19YL5d?ocid=hpmsn&cvid=620db4352aa943e2b454919a7b724604&ei=83"&HYPERLINK "https://www.msn.com/en-us/news/technology/this-is-extraordinary-gravity-can-create-light-all-on-its-own/ar-AA19YL5d?ocid=hpmsn&cvid=620db4352aa943e2b454919a7b724604&ei=83"cvid=620db4352aa943e2b454919a7b724604HYPERLINK "https://www.msn.com/en-us/news/technology/this-is-extraordinary-gravity-can-create-light-all-on-its-own/ar-AA19YL5d?ocid=hpmsn&cvid=620db4352aa943e2b454919a7b724604&ei=83"&HYPERLINK "https://www.msn.com/en-us/news/technology/this-is-extraordinary-gravity-can-create-light-all-on-its-own/ar-AA19YL5d?ocid=hpmsn&cvid=620db4352aa943e2b454919a7b724604&ei=83"ei=83

The article tells, the gravitational waves can move by speed of light and can produce a light beam- now we ask- if the gravitational waves move by speed of light- why is it necessary the gravitational waves move by speed of light relative to the sun point of Space? Or let's ask this question by another method

Pluto velocity is 4.7 km/s relative to what? relative to the sun

All Motions In The Solar System Are Done Relative To The Sun – let's explain why

Let's remember how the sun point is created

We understand the space is similar to the sea of water and it's in continuous motion and NO stationary point can be found in it- the sun point of space should be a stationary point- for that the sun point of space creation needed specific procedure 

The planets were found before the sun creation and the planets revolve around a point in space (any point in space) the revolution creates two velocities on both sides of the revolution- the two velocities are equal in value opposite in direction- the total be Zero- means- the revolution motion creates a stationary point in the revolution center-

By that the sun point of space is created as a stationary point- and the sun point is the only stationary point in the solar system- for that all motions are done relative to the sun point of space- but let's ask

What does mean Pluto velocity is 4.7 km/s? it means – the sun point of space is a stationary point and its velocity is 1 km/s (Zero approximately)- and that means- the space around the sun has waves move by velocity 1 km/s while Pluto velocity is 4.7 km/s and that means the space around Pluto has waves move by 4.7 km/s  and by Pluto motion the waves around the sun moves by 4.7 km/s because of Pluto motion effect

Shortly- the sun is the stationary point in the solar system and all motions are done relative to the sun because it's the minimum velocity in the solar system.

II- The Comparison

The gravitational waves are reflected in the solar system three times

(From Neptune to Saturn) This Is The First Reflection

(From Uranus to Jupiter) This Is The Second Reflection

(From Venus to Mars) This Is The Third Reflection

Here we compare among the data of these planets- the comparison provides 7 groups of data in each group we compare the planets data because I want to prove that the planets use similar behaviors to produce their data – means- this all data is created based on geometrical rules which proves that there's one reason caused to create all this data and this reason is the gravitational waves reflection- In the comparison I start by Venus reflection (the 3rd one) then Uranus reflection (the 2nd one) and Neptune reflection (1st one) because Venus is very simple data and can be understood easily-

The Data Changes

 The gravitational waves reflection causes basic changes in the planets data let's refer to these changes in following

What's used as (A) before the reflection will be used as (1/A) after the reflection.

What's used as (a distance) before the reflection will be used as (a period of time) after the reflection

The velocities be squared –the rate (v1/v2) before reflection will be (v1/v2)^2 after the reflection.

The energy direction is changed by the reflection

The players of the rates of time are reflected also –

Notice – the gravitational waves reflection needs three planets –as we have discussed- the 1st reflection (from Neptune to Saturn) and between them Uranus – also the 2nd reflection (from Uranus to Jupiter) and between them Saturn–  and also the 3rd reflection (from Venus to Mars) and between them The Earth– that shows three planets are used in each reflection- the middle planet is effected also by the wave reflection as we will see in the data discussion – shortly – No reflection can be done by two neighbors planets - 

These changes are done with each reflection for the gravitational waves- the planets data proves this fact as we will see in the comparison of the data and the detailed analysis for the wave reflection (CONT)

Gerges Francis Tawdrous +201022532292

Physics Department-  Physics & Mathematics  Faculty 

Peoples' Friendship university of Russia – Moscow   (2010-2013)

Curriculum Vitae                 https://www.academia.edu/s/b88b0ecb7c

E-mail                            mrwaheid@gmail.com, mrwaheid1@yahoo.com

                                      gergesgerges@yandex.ru                  

ORCID                          https://orcid.org/0000-0002-1041-7147

Facebook                       https://www.facebook.com/gergis.tawadrous

VK                                 https://vk.com/id696655587

Tumblr                           https://www.tumblr.com/blog/itsgerges 

Researcherid                  https://publons.com/researcher/3510834/gerges-tawadrous/

Google                                https://scholar.google.com/citations?user=2Y4ZdTUAAAAJ&hl=en

Livejournal                     https://gerges2022.livejournal.com/profile

Pocket                                     ��                              https://getpocket.com/@646g8dZ0p3aX5Ad1bsTr4d9THjA5p6a5b2fX99zd54g221E4bs76eBdtf6aJw5d0?src=navbar

PUBLICATIONS

box                                https://app.box.com/s/47fwd0gshir636xt0i3wpso8lvvl8vnv

Academia                       https://rudn.academia.edu/GergesTawadrous

List of publications        http://vixra.org/author/gerges_francis_tawdrous

Slideshare                            https://www.slideshare.net/Gergesfrancis

[touch-starved-lurker]

i'm gonna start exploding things with my mind i swear to gaud what is this absolute nonsense

[sub-at-omicsteminist]

[er-cryptid]

Log Differentiation Ex. 3

Patreon

[sysy-studyblr]

monday 13/05/24

math! truly what does IL mean in german math???

♫ coast2coast - dominic fike ♫

[corduroy-leggings]

Log(x+14)? No, you misheard me. I said bog exploring. Let's go look at moss!!

[gay-mathematician-portmanteau]

single thread math episode 1: logarithms are the basement and thats, like, pretty fucked up actually

[pawbeanies]

yearning for the touch of another so bad ive resorted to doing logarithms to stave off the demons

[oneefin]

i usually find youtube comments sections pretty low-brain, but one of my favorite bits of cleverness i've ever seen came from a youtube comment under a math video of someone explaining how they did it using music theory. and this is right up my alley so i'm going to break it down.

the problem in the video was "approximate log_2(3) without a calculator", and they did it using purely mathematical methods and a tiny bit of memorization. but you can actually do this with a basic understanding of tuning theory:

basically, there's this thing in music called the harmonic series. its a sequence of notes starting from some root pitch and ascending in whole number multiples of that pitch. for example, if you start from C:

each note in this sequence has a frequency n times the frequency of C5. get it?

now, even though this would be the "perfect" way to tune things, we don't actually tune notes this way - because it doesn't work if you change your root note. instead, western music is tuned to what's called 12-tone equal temperment (12tet), in which the ratio between two adjacent notes is exactly the same:

the ratio x is picked such that an octave is still x2. so x turns out to be the 12th root of 2.

anyway, how does this help with the original problem? well, these concepts give us two ways to think about a similar musical interval. consider the difference between C and G:

in the harmonic series, this distance is a x3 multiplication. however, in 12tet, this is 19 steps, each multiplying by the 12th root of 2. written another way, that gives 19/12 = log_2(3).

19/12 is 1.58333..., while log_2(3) is about 1.585. that's accurate to two decimal places.

in fact, the approximation isn't just really close - it can be considered optimally good among other fractions of a similar length. that's because mathematicians have a way to derive best fractional approximations for any irrational number, and on that list for log_2(3), 19/12 is there:

that's a cool solution to an arbitrary math problem, but also it's quite cool from a music theory perspective! it gives a reason for why it's not only appropriate for the western scale to has 12 notes in it, but that it'd be surprising for it not to have 12 notes in it, given that 19/12 approximates the 3rd note in the harmonic series so well.

[ultriomafscomputer]

Integration practice - Fraction Decomposition

Absolute beaut if I do say so meself

(I don't know what accent I'm doing)

[valentine-love99]

I got this algebra textbook off from Goodwill since I actually likes algebra. I decided to try out logarithms to see if I can do it which I still got it! I remember why I like to do logorithms because it was fun to answer by combine and separate the expressions.