Constructibility in Quantum Mechanics

Details Constructibility in Quantum Mechanics Constructibility in Quantum Mechanics

2008-06-06

arxiv.org/abs/0806.1165v9

Physics

General Physics

Presented at the 16th UK and European Meeting on the Foundations of Physics; Arithmetic axioms and theorems added

Scientific paper

We propose a set theoretical foundation including an axiom of constructibility and derive a generalized quantum mechanics by postulating symmetry of action. The Schroedinger equation proves to be a special case of a nonlinear sigma model. Quantum mechanics is obtained here without the requirement for presupposing the statistical interpretation of the wave function; thus this derivation becomes continuous with prior physics. In this theory we also see space-time as relational and the fields as free of singularities.

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