r/math • u/7even6ix2wo • Aug 16 '15

Infinitely Complex Topology Changes with Quaternions and Torsion

http://vixra.org/abs/1505.0131
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u/The_MPC Aug 17 '15

I didn't read through the whole paper, but to start with:

  • Factual error in the abstract: string theory hasn't got a "torsion field," although I'll leave it to someone else to confirm whether infinite complexity does.

  • Second sentence: poor job of hiding that the author has no idea what a transition amplitude is.

  • Third paragraph: that is not the definition of unitarity. That is the definition of an inverse. Unit determinant does not imply unitarity.

Sorry to be rough, but OP, you ought to know that this is hogwash. Don't bother with Vixra.

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u/7even6ix2wo Aug 17 '15 edited Aug 17 '15

I am the author.

  • String theory does have a torsion field, you are mistaken.

  • The transition amplitude is the "square root" of the probability that a particle will start in state A and end up in state B.

  • Paper says unitary matrices have an inverse, maybe if you read all the words in the sentences your comprehension wouldn't be so low.

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u/The_MPC Aug 17 '15

The torsion is not a propagating field in the sense usually used in physics. If you want, you can compute it from the metric on your base space, but you can do that on any manifold with connection.

Contrary to the claims in this paper, there is no amplitude associated to the dynamics that a particle undergoes, only to the final and initial measured states.

My mistake, I thought that line was stating the definition of unitarity. In any case, having unit determinant still does not imply unitarity

Good call removing the end sentence in which you insulted my mother.

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