Quantum Physics


Notes on Quantum Mechanics and General Covariance.

Authors: Johan Noldus

In this letter we study two different aspects of general covariance, first we quantize a reparametrization invariant theory, the free particle in Minkowski spacetime and point out in detail where this theory fails (notably these comments appear to be missing in the literature). Second we study the covariance of quantum field theory and show how it connects to causality, the outcome of this study is that QFT is what we shall call ultra weakly covariant with respect to the background spacetime. Third, we treat the question of whether evolution in quantum theory (apart from the measurement act) needs to be unitary, it is easily shown that a perfectly satisfying probabilistic interpretation exists which does not require unitary evolution. Fourth, we speculate on some modifications quantum theory should undergo in order for it to be generally covariant. This paper is primarily written for the student who wishes to study quantum gravity.

Comments: 7 Pages.

Download: PDF

Submission history

[v1] 14 Jun 2011
[v2] 1 Aug 2011

Unique-IP document downloads: 307 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus