#schrodingers cat in a klein bottle

[art-of-mathematics]

... if you wonder where I started to doodle the drawing of schröinger's cat in the klein bottle...

... It was on that non-linear regression visualization.

Just as I indulged in thinking about what this non-linear regression thing might depict in real life (hint: some non-linear causality stuff... so to speak.. errr... primarily conservation of momentum... ) I started to randomly draw a möbius strip.

And then I somewhat imagined a cat in that möbius strip and drew that cat body above the part of the möbius strip. (That's one of the pragmatic reasons why the cat is very dark there. The other reason is for pure aesthetical aspects... )

And then I had a cat floating in a möbius strip.

This led me to adding a klein bottle around the cat-möbius strip bundle.

This is literally recursive mindfucks...

The way this drawing of Schrödingers cat in a klein bottle emerged (process of creating it) is more art than the actual resulting artwork/drawing (the created/creation)

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This train of thought partially reminds me of the aphorism:

'The whole is more than the sum of its parts, as it contains both the parts as well as the interaction patterns between the parts.'

[art-of-mathematics]

Schrödinger's cat in a Klein bottle - Entangled in non-linear causal networks

(part of my art series "The emergence of reality and the hidden order of chaos")

Schrödinger's cat in a klein bottle - What does that even mean? This thought experiment consists of two parts: First; Schrödinger's cat as metaphor for the state of isolated elementary particles, a state of intact wave function and the resulting quantum paradox of simultaneity: an elementary particle is everywhere at once. But how could this aspect fit to our klein bottle concept? A klein bottle is a non-orientable surface, which means the inside is the same as the outside. Considering Schrödinger's cat, the cat is only death and alive is it is IN a CLOSED box - since the klein bottle is not really closed, the cat is both dead as well as alive, because it is both outside the klein bottle as well as outside of it. This is literally the state of quantum conformity: Isolated systems are anomalies in regards of thermodynamics as they are "closed loops" - closed causalities, in a sense. What happens if an elementary particles is isolated? This utter separation leads to a form of disintegration into the medium the particle is embedded in. When it 'evokes', wakes up from its isolation, this is the literal definition of the "wave-function collapse"; An interaction, or in my conception of information weaving: An information transform, a kind of "weaving pattern". Furthermore isolated systems ARE kinds of a singularity. A fully closed loop disintegrates, dissolves, fuses with its medium. It becomes indistinguishable whether it has a 100% density or a 0% one. It is the threshold of invertium. Singularities are "reset buttons" of quantum foam.

As for my new art series: In this series I will depict the concept of "butterfly progression" - a (self-) interference pattern of possible antithetic states, so-called "mirror clones" with pseudo-time shifts resulting in the emergence of physical reality by interweaving information, using certain "information weaving patterns", consisting of self-replication, a translation transform in information progression, and self-interference, a rotation transform.

It will make sense of momentum and position and interweave it with relativity - both special as well as general theory- and gravity, you might ask: Gravity is nothing more than an emergent function in dynamical information geometry: Information clustering, primary aspects will include statistical mechanics and thermodynamics, accompanied by some further detours into many obscure subfields of mathematics! (Having fun with mixing uncountable concepts was never more thrilling!)

[art-of-mathematics]

That's the original 'space' where my drawing of "Schrödinger's cat" started.

Scanned it (unfortunately bad choice as the scanning quality is far worse than my camera), then deleted the notes with those Fibonacci numbers, rearranged the frame and printed it to add my further ideas with the helix around the "pipe-secion" of the klein bottle via the old school - pencil way.

Also: look at the calm face. Is this how she feels with her existence on the verge of non-existence? Calmfui and peaceful? As Every antithetic state seems to annihilate each other.

Maybe she's just transcended into her higher self as she leaped into her semi-literal out-of-body perspective about herself? Maybe that is what a high degree of self-reference in means of metacognition causes? An altered consciousness. Maybe I just depicted myself with it? Maybe I have put myself in the perfect trance state - literally on a superposed state of existence and non-existence?

It does sound nuts, but in a metaphorical sense this interpretation describes it the very best in a multitude of ways.

[art-of-mathematics]

Regarding my theoretical nonsense, "Schrödinger's cat in a klein bottle" might hit closer to the actual truth than I initially believed. Lol - Currently I work on a model of quantizing spacetime using imaginary numbers, where space axes are regarded as circular, maybe toroidal or more certainly möbius-like, and time axes surround these axes as helices. Should still become difficult to consider fusing the 3 space "axes" and their accompanied time helices. This will become a lil bit complex /lame pun intended/

Furthermore it might make sense with time dilation/space contraction interpreted as "frequency changes" of the coiled time helix.

This sounds more nuts than it actually seems to come out to be.

We'll see where this shit might lead, other than utter insanity and confusion. Lol

[art-of-mathematics]

Did you ever consider Schrödinger's cat inside a klein bottle? Welcome to the fucked up recursive thought pattern. It contains itself within itself.

Thoughts from beyond my inner klein bottle *laughs mathematically*

“‘I am alive!’ said the cat’s corpse inside the klein bottle.”

[art-of-mathematics]

Hmm this structure might explain certain quantum mechanical behaviors in/as an information progression model, and might explain important, especially mathematical components of quantum theory, such as the wave function, its collapse, important insights about position and momentum, in an imaginable and thus understandable way. It is difficult to explain at this point of progress in my study. And yes, it is related to relativity. Thus the axes structure might be fruitful in some means.

Schrödingers cat in a klein bottle - first part is the definition of an isolated elementary particle as a literal isolated system - resulting in thermodynamical anomalies - explained as fully closed loop and resulting self-interference pattern, (an aspect may be the interference-diffraction pattern). An elementary particle can also be regarded as some sort of "information singularity".

Secondly the odd behavior of such 'singularities' can also be interpreted, in a way, as metaphorical klein bottles in that sense, that they are both isolated ("inside klein bottle") as well as everywhere at once ("outside"). It can't be distinguished between a 100% information density or a 0% one. Might be named quantum conformity. Elementary particles are certain information weaving sequences, information clusters, "spacetime folds". A singularity is such a dense compression that all "folds" get literally ironed out - but in a far more interesting way: All antithetic states(I named it "butterfly clones" in my thesis) annihilate each other. This results in a paradox similar to the non-orientableness of the klein bottle. It is like an entangled superposition of an entangled superposition. This 'double duality' offers some interesting concepts or new interpretations about not really understood aspects of the mathematics used in quantum theory.

The 'plots' inside these axes constructions might define position and momentum in a different and partially more concrete and more intuitive way.

In a way, I remember I wrote once:

Physicists can't dissect an elementary particle, but mathematicians can.

And yes. That describes my futile appearing venture lol.

I might publish it one day, when it offers valid and exact enough outcomes and predictions as well as as much logical consistency as it could.

It is interesting, as it started literally ten years ago, whith the plain question "Where do elementary particles get their attributes from?" String theory has a major deficit: It sees the underlying 'geometries' as physcial elements. I view them as literal 'information geometry", a geometry in mathematical structures.

The entire fundament of that is the interpretation of the structure-process-complex, defining real structures - physical structures, imaginary structures - mathematical structures, real processes - active interaction, imaginary process - passive interaction. - mixtures of these relate to the four primary states of physical reality: Time (i structure, i process), motion (i structure, r process), space (r structure, i process), matter (r structure, r process). Another related concept is information weaving, which explains the interactions, transitions, transforms between these four aspects. The "axiomatic entity" is literally the imaginary number. The initial rule is multiplication. And i*i makes a real number - yes this thought is very simple and plain! But some aspects can be taken partially literally.)

Transforms of patterns in meta-processes in information progression is an aspect I recently found: addition as a translating transform of information progression, primary information replication factor. And the multiplication as rotational transform of inf. prog., information interference(alteration) factor. It all sounds nuts, yes.

Currently I write my thesis on the entire collection of these intertwined concepts, also introducing certain self-referent, self-interfering iterative algorithms and implementing some sort of self-improving feedback-loops in the algorithm, until emergent behavior and self-organization kick in, in a way... much like "Let the riddle solve itself'... it sounds utterly mad. Like in a poem I wrote many years ago 'recognizing the sight between mirrors'... and finding a holographic consensus in every single data, no matter the degree of their completeness or exactness, the "truth" might be extracted in a dynamical interweaving algorithm.

It's a box of Pandora I have opened lol

My thesis could explain what the fine structure constant might be as well.

But it all sounds far too nuts and I am terrible at formulating it in a way not making it sound even more insane than it actually is.

It combines aspects of number theory, probability, chaos theory, also some aspects of topology and knot theory. it's literally a wool ball of theoretical fuckery!

A lot of intuitive guesses I made ten years ago seem to make sense the deeper I dig into the issues. Though the guesses also alter, partially change.

When it comes to theoretical research, speculation and skepticism should alterate around a 50/50 ratio. That's where the real valid progress emerges.

Regarding my theoretical nonsense, "Schrödinger's cat in a klein bottle" might hit closer to the actual truth than I initially believed. Lol - Currently I work on a model of quantizing spacetime using imaginary numbers, where space axes are regarded as circular, maybe toroidal or more certainly möbius-like, and time axes surround these axes as helices. Should still become difficult to consider fusing the 3 space "axes" and their accompanied time helices. This will become a lil bit complex /lame pun intended/

Furthermore it might make sense with time dilation/space contraction interpreted as "frequency changes" of the coiled time helix.

This sounds more nuts than it actually seems to come out to be.

We'll see where this shit might lead, other than utter insanity and confusion. Lol