#but for what little I know of Riemann it crossed my mind several times that some of what I've read tonight pertaining Lorentz

[fragmentedblade]

This seems to be a reference to Lorentz transformations? The first formula is apparently a derivation, and seems to be the inverse of the time part of the transformation (there's a space part too), for what I've been able to find.

The second formula is Newton's second law.

[charlesrockafellor]

Sometimes risqué, generally just titillating, I give you chapter 1 (of 8) of "In for an Amy, in for a Pond" (click the linked title for the entire story), an Amy Pond tale (plenty of pulpy sci-fi, with a few nuggets of actual physics for fun).

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Chapter 1: Amy's wife

Summary: In which Amy discovers Amy, and they go off in search of Amy (and Amy, of course, not to mention Amy, and Amy, and...).

Amy stared at it.

There it was, standing right in front of her.  The TARDIS.  She had no idea why it looked golden, but lighting was certainly a bit odd on this level.  Blue... gold; she had a dress like that.

Shaking her head, she stepped inside, walking straight through to her room.

First thing was a relaxing bath and change of clothing, then food. It had taken her forever to find her way back here, and some of the less-traveled corridors really needed a good cleaning — and she'd yet to figure out how in the world she'd even managed to get down there in the first place.

At last! This skirt was not meant for hiking.

Stepping in, she found herself staring once more.

What has Rory done this time?

Everything was rearranged. The bed, the furniture — everything. Including her clothes, as it turned out. In fact, a good number of those weren't even hers.

Lovely. The Doctor's gone and used my closet as spillover storage! Ooh, nice outfit, that — it'll look good on me!

“What the bloody...?”

For the third time in as many hours, Amy found herself startled to a standstill, staring.

“Glad to see that you've made it,” the other Amy said, stepping around the console, just as the time rotor began to piston.

She couldn't help staring, her eyes traveling over the other. It was an odd but quite fetching outfit, halfway between the Red Baron and Captain Hook, and every inch of it skintight and riveting. It had to be the hat. Other-Amy wasn't wearing one, but Amy could just feel it there, tilted at a rakish angle.

My God, I'm incredibly gorgeous! If only she knew the thoughts going through my head right now...

“I do know the thoughts that are going through your head right now, you know,” the other said, “and really, they're rather shocking. Shall we go take care of that now, so that you can perhaps concentrate for more than five seconds, or shall we simply ravish each other right here? I won't mind either way at all, you know. Been looking forward to it quite a bit, truth to tell.”

“How did you — I —” she began, looking around for the Doctor, “Right then, there's been another one of those time things, hasn't there? How do we fix it this time?”

“I'm afraid not this time, darling. We're on our own, with all of the time in the world,” the other explained.

“Wait. Do you mean — then who's operating the TARDIS?”

“The Doctor, I imagine, or one of him, at any rate. Technically all of him,” her duplicate replied, “This is the SARDIV.”

“Sorry?”

“Void,” said the other, coming closer and leaning in as Amy found herself leaning backward against the wall, “Spacetime And Relative Dimension In Void. It comes from nontrivial zeroes of Riemann zeta on a degenerate set — not actually null, but good luck with the antiderivative. It helps to have an omnidirectional control device.

“It also takes some getting used to, what with E-space and everywhere else,” she said, running her fingers over Amy's shirtsleeve, “but there are some benefits. Also, you'll be glad to know that I keep a few more of your skirts on hand at all times, for fashion emergencies.”

“So, just to be clear: you're not me.”

“I'm Amelia,” the other said, taking a step back to bow, “But yes, I'm you — at least I was you eventually — except that I never was.”

This gave Amy pause.

“Good Lord, you're as bad as he is!”

“I should be,” Amelia replied, “I've had some time to practice. To the rational mind, nothing is inexplicable, only unexplained.”

“All right then, explain to me how this... SARDIV situation came about.”

“Well, future-you had a bit of an incident with the heart of the TARDIS, absorbing the time vortex itself. No one's meant to have that power. If a Time Lord did that, they'd become a god. It split you into several versions. It took quite some time to get us all back together, not to mention the research, and you've no idea how much my heads ached with that. In the end, the only solution was to materialize the TARDIS outside of itself at a point parallel to the center of the universe, but in interstitial space. Needless to say, this presented an issue. We got it done, but between Blinovitch and all of the Artron energy buildup that we each carried... we grounded out and it all overloaded, and the TARDIS had to be absolutely anywhere except wherever it was, but even nowhere is somewhere, all of this sort of shorting out the universe and resulting in a bit of a paradox, with time winds tilting the TARDIS across several boundaries that she was never meant to cross and a few directions that don't even exist, and me stepping out unscathed, you being you all over again, the rest of us out there, and the original you never having been exposed to the heart in the first place to cause all of this.”

“And how's that explain our being here, then?”

“Alright, I'll show you,” Amelia replied, stepping away for a moment, “It's because combinatoric potentiae and collapsed wave functions are not in the same dimension.”

Reaching into a recess, she withdrew several boxes.

“Which box is the real one?” she asked, holding them up for Amy's inspection.

Amy stood there puzzled, unsure of where this was going, but pointing to one at random.

Amelia grinned, jumbled the boxes around at random, and set all but one down on the console, then returned to hold up the remaining one in front of Amy, obscuring the view.

“Now, of those that you can see, which one is real?”

Amy pointed to the only one that she could see, still at a loss as to what Amelia was driving at.

“This one?” she hazarded.

“But it looks the same as the others!” Amelia remarked.

“Well, that's because they're all boxes.”

“Exactly. If you were to remove all of those from this one — and have this one here as well — the variations would be indistinguishable from the original, other than their differences of course.”

“That's silly.”

“That's transphase-spatial engineering, my key discovery.”

“Wait. So we're the tiny boxes, popping out the side of the bigger box?”

“Yeah. No. But if it helps, yes.

“In any event,” Amelia sighed, “at least you're here now. It was only a matter of time. I've been going mad here, all by myself. Shall we simply start with lunch, then?”

“But, Rory. Well. The Doctor! And home?”

“You're there right now, love. They're fine, and you're with them right now, since you never left. It's just that you're here with me, while they're therewith you. None of this ever happened for them. Come on, you'll feel much better with a few biscuits in you,” Amelia said, taking Amy's hand and leading her off in search of a good meal, “We'll 'play doctor' later — cross our hearts.”

Amelia's hand was warm and comfortable, and the view afforded her of Amelia's bottom swaying back and forth in front of her was indeed a completely captivating compensation for the moment. If she hadn't known any better, she'd have sworn that Amelia was accentuating her movements just to draw her thoughts thither, focusing on delving therein.

If only I could pry those—

“Enjoying yourself back there, are you, dear?”

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“You can't have been here all that long,” Amy observed, setting aside the now empty salad bowl and reaching for her soup and sandwich.

“You'd be surprised what a little untempered vortex can do for a body,” Amelia smiled, “but the weather on Gallifrey didn't suit my taste.”

“You've been?”

“Had to, now didn't I? This ship doesn't exactly come with a 'read me' file1.”

“What did you wear?”

“A tuxedo, of course,” she said.

Amy waited a beat.

“You wore white, as I recall,” Amelia winked.

Amy gaped, “I never!”

“Not yet, no.”

This veiled innuendo gave her some pause, sneaking peaks at her other self as she pretended to consider dipping her sandwich into her soup.

“Go ahead and dip, I like the way you purse your lips around the bread when you do. And the way the juices still drip from your chin afterward.”

Blushing furiously, she proceeded to do just that nevertheless.

“And it was a smoky blue, with muted gold and silver-gray brocade. What can I tell you? It was true love at last.”

Then it hit her, “Why did you go to Gallifrey?”

“I had to learn how to drive this thing.”

“Then how did you get to Gallifrey?”

“I had to learn how to drive this thing.”

“What did you do after?”

“A bit of this, a bit of that,” Amelia said, “and then I waited.”

“For...?”

“For you, of course.”

“That's a change.”

“Well, I waited once before, you might remember, so I had some practice.”

“But you didn't have to, this time.”

Amelia remained silent.

“You didn't, did you?”

“The SARDIV can get a bit stroppy,” was all that she said.

“Oh you poor thing! How long?”

Again, Amelia was silent.

“How long?”

“Long.”

“What, like our Rory?”

“Longer.”

Amy melted inside, reaching out to put her hand on Amelia's.

Amelia smiled, though it still held a touch of gray.

“Water under the bridge. You're here now, and that's what matters. So here we are, and it all comes down to... just another happy ending.”

“Yes, well,” Amy replied, then realized that she had no snark remaining in her just then, ending with “just don't you go thinking that a sob story will get you anywhere, miss.”

Amelia looked at her sidelong, saying “Not at all, Heaven forfend. I had in mind dinner and a movie first! I don't just whip out my sonic probe2 and show it to a girl before the first date.”

O ~~~ O

Keep Reading

Notes:

1 Read Me file: Not technically true. The SARDIV has an Index File just as much as any good TARDIS should. She's just not always quite as forthcoming as one might wish... just as one might well expect of any canon-TARDIS, at this point.

2 Sonic probe: This version has all of the usual bells and whistles, but also doubles as an MIB red flashy thing (neuralyzer circuits courtesy of some nice young gentlemen in suits) and psychic paper. Amy further discovers that it serves other — and much more “personal” — functions.