Sorry - I was reading her Spanish...
So luckily the slides are in English even though she is talking in Spanish....(luckily I know enough Spanish to follow along)....
So based on noncommutative time-frequency then geometric "points" no longer exist! - pdf
I'm gonna see if Fuentes has published this in English....yep
Experimental test of photonic entanglement in accelerated reference frames
This raises the question of whether entanglement persists, when we consider non-inertial reference frames, such as those experienced by accelerated systems or systems in gravitational fields, as the space-time metric can vary with position in these cases. It is likely that the resolution of such questions will be a key piece in the puzzle leading to a full theory of quantum gravity.
Our results show that quantum entanglement is unaffected by non-inertial motion to within the resolution of our test-system. This represents the first experimental effort exposing a genuine quantum system to milli-g and hyper-g and extends the experimental regime in which quantum effects can be said to exist in harmony with relativity.
Fascinating! So they dropped crates - of entangled photons and measured the frequency change as phonon energy....
Yes this matches what I call the Cosmic Vortex in meditation - so the nonlocal awareness as entanglement is noncommutative phase such that spacetime relativity (acceleration) is created out of the noncommutative phase.
Oh wait - this was a different experiment... her talk is about this one below - not published yet:
Phononic gravity gradiometry with Bose-Einstein condensates
https://arxiv.org/abs/2001.10104
She said she didn't know how to say Phonons in Spanish. haha.
So noncommutative analysis says that typical quantum Heisenberg uncertainty does not apply at the fundamental scale of time-frequency....
Whenever Fuentes says, "Un Campo" - I visualize farming. Too funny. It means "field" - I didn't know it was used for physics.
So the frequency is complex but also noncommutative to time. And the "entanglement" as the nonlocal phase that is noncommutative is what creates spacetime - and therefore scales up with the "acceleration" of spacetime. The entanglement remains.
So as in music theory, that Connes uses, if the frequency is "3" then it is also 2/3 and 3/2 as a "pitch" of Perfect Fifth. So the "point" as X changes as the ratio is noncommutative phase yet the "frequency" of 3 stays the same as the Perfect Fifth pitch (as subharmonic and overtone at the same time).
Fuentes:
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