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Practical space-time crystals

Posted: Tue Jul 10, 2012 5:23 am
by DeltaV

Posted: Tue Jul 10, 2012 3:09 pm
by kcdodd
The is kind of beyond my understanding. Although it does seem like it would violate some kind of conservation. I mean, to be period in time is it blinking in and out of existence? I don't understand.

Posted: Tue Jul 10, 2012 3:17 pm
by DeltaV
Periodic in time just means returning to the same spatial configuration (3D, or 2D in the paper) at regular time intervals.

So you might find some sort of space-time analogies to spatial diffraction of wavefronts, resonance, etc.

Practical Space-Time Crystals

Posted: Thu Jul 12, 2012 12:01 pm
by martwc
Does Thiotimolene crystallize, if so what is its structure? It cannot be face-centered cubic, it must be a face-centered tesseract.

Re: Practical space-time crystals

Posted: Sat May 04, 2013 3:15 pm
by DeltaV

Re: Practical space-time crystals

Posted: Sun May 05, 2013 7:48 am
by MSimon

Re: Practical space-time crystals

Posted: Sun May 05, 2013 10:30 pm
by DeltaV
So, referenced to a spatially nontranslating and nonrotating frame (say, one fixed w.r.t. distant stars, a.k.a. "operationally inertial"), a spatially nontranslating but spatially rotating space-time crystal is periodic both in space (at any instant of time) and in time (at any location in space through which any part of the crystal rotates).

Referenced to a frame fixed to the spatially-rotating arrangement of ions (rotating w.r.t. distant stars, thus non-inertial), a space-time crystal is periodic only in space and static (aperiodic) in time.