Abstract
An investigation of the topological consequences of Einstein-Weyl causality by others has shown that a denumerable space-time would be admitted, but they were left with an experimentally unresolvable question regarding the nature of the physical line E, e.g., whether E = R, the real line of mathematics. We propose a nonstandard constructible set-theoretical foundation and find it indeed provides a dense, denumerable space-time that still allows physical functions and their derivatives to be continuous. We show here that this leads to a novel approach to quantum mechanics and, in addition, has important implications for relational space-time and the avoidance of physical infinities.
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BenDaniel, D.J. (2018). Implications of Einstein-Weyl Causality on Quantum Mechanics. In: Khrennikov, A., Toni, B. (eds) Quantum Foundations, Probability and Information. STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health. Springer, Cham. https://doi.org/10.1007/978-3-319-74971-6_3
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DOI: https://doi.org/10.1007/978-3-319-74971-6_3
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