Implications of Einstein-Weyl Causality on Quantum Mechanics
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.
- 4.Gödel, K.: The Consistency of the Axiom of Choice and of the Generalized Continuum Hypothesis. Ann. Math. Stud., vol. 3. Princeton University Press/Oxford University Press, Princeton/Oxford (1940)Google Scholar