Thursday, July 20, 2023

Superluminal Light Speed in Noncommutativity aka non-commutative geometry aka quantum algebra

 Traveling Faster than the Speed of Light in
Non-Commutative Geometry

Cited 60 times in googlescholar

 We find that these vortices travel at velocities which can exceed the speed of light.... non-commutative vortex can travel faster than the speed of light was also noted in [14]. Unlike [14], however, we take the point of view that this phenomenon is real, and provide its explanation in terms of string theory....

14 D. Bak, K. Lee, and J.-H. Park, “Noncommutative vortex solitons,” hep-th/0011099.

The most dramatic and surprising observation of this study is the fact that these
solitons can travel faster than the speed of light. We will comment on this remarkable result
in the remainder of this paper.
Traveling faster than the speed of light is, of course, not possible in a Lorentz invariant
theory. If Lorentz invariance is broken, one might naively expect to be able to travel faster
than the speed of light for at most the distances of the order of the scale of broken Lorentz
symmetry. In nature, this distance is very small since Lorentz symmetry is tested to hold
to very small length scales. The result we obtain in this paper illustrates that this picture
is too naive. Non-commutative gauge theories with N = 4 supersymmetry breaks Lorentz
invariance only for length scales smaller than the non-commutativity scale. Yet, there is no
bound on the distances the non-commutative solitons can travel at speeds faster than the
speed of light.7
This is remarkable especially in light of the fact that we have not made the
time coordinate non-commutative.
7. A. Hashimoto and N. Itzhaki, “Non-commutative Yang-Mills and the AdS/CFT
correspondence,” Phys. Lett. B465 (1999) 142–147, hep-th/9907166

Conventional ideas for traveling faster than the speed of light involve “short-cuts” in space-time such as the wormholes and the warps. The result presented in this paper offers
a new alternative: non-commutatizing the universe

https://iopscience.iop.org/article/10.1088/1126-6708/2008/02/101/meta

 the noncommutative solitons [12], Einstein aether waves [13], “superluminal” photons in the Drummond-
Hathrell effect [14, 15] and in the Scharnhorst effect [16, 17].1 These last two phenomena
are due to the vacuum polarization i.e. higher-order QED corrections. It was argued that
this superluminal propagation leads to the causal paradoxes in the gedanken experiment
involving either two black holes [18] or two pairs of Casimir plates [19] moving with the
high relative velocities.

https://open.library.ubc.ca/soa/cIRcle/collections/ubctheses/24/items/1.0307517 

https://link.springer.com/article/10.1007/JHEP10(2013)078

 https://iopscience.iop.org/article/10.3367/UFNe.0183.201312a.1257/meta

 if we assign a photon a frame of reference, then there’s no way it can observe itself traveling at c—it’s motionless relative to itself. So, photons are considered to have no frame of reference.

 The standard relativity view is debunked by the secret noncommutative mass of the photon! 

 

 

 

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