Energy condition respecting warp drives in Einstein Cartan theory

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Discussion Overview

The discussion revolves around the implications of the Alcubierre metric within the framework of Einstein-Cartan theory, particularly regarding energy conditions and the role of torsion in general relativity. Participants explore the potential for faster-than-light travel through models that incorporate fluid dynamics and vortex behavior in spacetime.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • Some participants propose that including torsion in the Alcubierre metric calculations leads to positive energy spin requirements rather than the need for exotic matter.
  • Others argue that incorporating torsion means the discussion is no longer strictly about general relativity, as GR does not include torsion.
  • A participant suggests that the extension to a pseudo-Riemann-Cartan manifold could be a reasonable approach, given the existence of particles with spin and the potential necessity for a more complete theory of gravitation.
  • There is a request for references regarding fluid models of spacetime, with skepticism about the claims made regarding their acceptance and implications.
  • One participant clarifies that their interpretation of the fluid vortex model is a personal idea, which they believe could provide insight into the Alcubierre metric.
  • Another participant challenges the consistency of claims about the fluid vortex model being both well-known and original to the poster.
  • Concerns are raised about the scientific validity of personal speculations and analogies without clear content or correspondence to established theories.
  • A later reply notes that the paper reviewed indicates deviations from the GR model are related to matter rather than the vacuum, suggesting no new vacuum model is proposed compared to GR.

Areas of Agreement / Disagreement

Participants express differing views on the validity of incorporating torsion into general relativity and the implications of fluid models in understanding the Alcubierre metric. There is no consensus on the interpretations or the scientific merit of personal speculations presented in the discussion.

Contextual Notes

Some claims rely on interpretations of fluid dynamics in spacetime, which may not be universally accepted or supported by existing literature. The discussion includes personal theories that may not align with established scientific discourse.

Quantum23
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TL;DR
So I read this paper where if you take the alcubierre metric calaculations while including torsion in GR you get positive energy spin requirements instead of exotic matter.
I read this paper where if you take the alcubierre metric calaculations while including torsion in GR you get positive energy spin requirements instead of exotic matter. Here is the link: https://arxiv.org/abs/1807.09745
Could it be because a spinning quantum vacuum will be less stiff like a smoke ring vortex and allow faster than light travel that the alcubierre metric doesn't violate energy condition in Einstein Cartan theory? JUst like frame dragging in GR if you have high enough spin in the form of a toroid ring you have a vortex like a smoke ring in the quantum vacuum or spacetime. It is well known that spacetime has fluid models and can have such characteristics. So are the equations really telling us the possibility of faster than light through toroidal vortices of gravitational frame dragging? If you look at a vortex ring in air, it sucks air in the front and expel it at the back with efficiency the reason that it stays longer. That is very s
 
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Quantum23 said:
So I read this paper where if you take the alcubierre metric calaculations while including torsion in GR you get positive energy spin requirements instead of exotic matter.
GR doesn’t include torsion. So if you are including torsion it is no longer GR.
 
Well, it's a pretty reasonable extension of GR from a pseudo-Riemann to a pseudo-Riemann-Cartan manifold. Since we have particles with spin 1/2 amass, it's not so unlikely that in fact the latter generalization is necessary for a full theory of gravitation and matter, though up to today there's no hint of torsion, which is because we deal with very macroscopic situations when testing GR (mostly astronomical and cosmological situations) where only scalar and electromagnetic fields are involved, and there you don't have torsion.
 
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Quantum23 said:
It is well known that spacetime has fluid models

Please provide references for these models. I suspect they do not make all the same claims you are making.
 
PeterDonis said:
Please provide references for these models. I suspect they do not make all the same claims you are making.
https://arxiv.org/abs/1807.09745 here is the link to a paper on alcubeierre metric in einstein cartan theory. But the fluid vortex model is made is my idea of how to interpret the results assuming that fluid analogy can be made of general relativity. You can also refer to superfluid vacuum theory in wikipedia.
 
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Quantum23 said:
https://arxiv.org/abs/1807.09745 here is the link to a paper on alcubeierre metric in einstein cartan theory. But the fluid vortex model is made is my idea of how to interpret the results assuming that fluid analogy can be made of general relativity. You can also refer to superfluid vacuum theory in wikipedia.
Fluid vortex model cannot be both well known and your own. You have made contradictory claims.
 
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Quantum23 said:
the fluid vortex model is made is my idea of how to interpret the results

Personal theories and personal speculations are off topic here at PF. Please bear that in mind.
 
PAllen said:
Fluid vortex model cannot be both well known and your own. You have made contradictory claims.
The "fluid model" is well known as superfluid vacuum theory. But the smoke ring vortex in this fluid model is my way of interpreting the alcubierre metric in that model and I want to know what others think of the idea.
 
You’re asking for an opinion on an imprecise analogy (as all are, to some degree)? That’s not really science, especially as you haven’t given the analogy any content e.g. such and such feature of the analogy corresponds to such and such feature of the Alcubierre metric.

As to another question you raise, looking over the paper briefly (though I am not very familiar with Einstein-Cartan theory), it states pretty clearly that the deviation from the GR model is all in the matter, not in the vacuum. Thus there is explicitly no new vacuum model compared to GR. What it claims is that the matter supporting and giving rise to the warp bubble need not be exotic (violating all energy conditions), if it is allowed to have high spin and that the matter is modeled with non-symmetric Ricci tensor built from connection with torsion, per Einstein Cartan theory. I am unable to comment on the validity or plausibility of this claim (of the supporting matter not being exotic), as it is outside my expertise.
 
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Quantum23 said:
The "fluid model" is well known as superfluid vacuum theory. But the smoke ring vortex in this fluid model is my way of interpreting the alcubierre metric in that model and I want to know what others think of the idea.

As I've already said, personal speculations are off limits here. Since your question is about your personal speculation, this thread is closed.
 

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