Implications of Einstein-Weyl Causality on Quantum Mechanics
Abstract
A fundamental physical principle that has consequences for the topology of space-time is the principle of Einstein-Weyl causality. We show here that this may have implications on quantum mechanics, as well. Borchers and Sen have rigorously investigated the mathematical implications of Einstein-Weyl causality and shown the denumerable space-time Q^2 would be implied. They then imbedded this space in a non-denumerable space but were left with important philosophical paradoxes regarding the nature of the physical real line E, e.g., whether E = R, the real line of mathematics. Alternatively, their initial result could suggest a constructible foundation. We have pursued such a program and find it indeed provides a dense, denumerable space-time and, moreover, an interesting connection with quantum mechanics.
Cite
@article{arxiv.0806.1165,
title = {Implications of Einstein-Weyl Causality on Quantum Mechanics},
author = {D. J. Bendaniel},
journal= {arXiv preprint arXiv:0806.1165},
year = {2016}
}
Comments
Originally Presented at the 16th UK and European Meeting on the Foundations of Physics. Present Version has considerable discussion of the implications of Einstein-Weyl causality on quantum mechanics, presented at the Vaxjo(2016) conference