Implications of Einstein-Weyl Causality on Quantum Mechanics

D. J. Bendaniel

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arXiv · 0806.1165

Implications of Einstein-Weyl Causality on Quantum Mechanics

D. J. Bendaniel

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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.

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D. J. Bendaniel. 2008-06-06. Implications of Einstein-Weyl Causality on Quantum Mechanics. https://arxiv.org/abs/0806.1165

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