Definability in Physics

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BenDaniel, David Jacob
conference paper description
The concept of definability of physical fields in a set-theoretical foundation is introduced. We propose an axiomatic set theory and show that the Schrödinger equation and, more generally, a nonlinear sigma model can be derived from a null postulate and that quantization of fields is equivalent to definability. We find that space-time is relational in this theory. Some examples of the relevance to physics are suggested.