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.

arXiv commentOriginally 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