dorsal/arxiv
View SchemaDefinability in Physics
| Authors | D. J. Bendaniel |
|---|---|
| Categories | |
| ArXiv ID | physics/0206011 |
| URL | https://arxiv.org/abs/physics/0206011 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
The concept of definability of quantum fields in a set-theoretical foundation is introduced. We propose an axiomatic set theory and then derive a nonlinear sigma model and the Schroedinger equation in a Lagrangian form; this follows naturally from a null postulate which expresses symmetry of action. Definability in this theory is necessary and sufficient for quantum mechanics. Space-time proves to be relational and the fields are free of singularities
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"abstract": "The concept of definability of quantum fields in a set-theoretical foundation\nis introduced. We propose an axiomatic set theory and then derive a nonlinear\nsigma model and the Schroedinger equation in a Lagrangian form; this follows\nnaturally from a null postulate which expresses symmetry of action.\nDefinability in this theory is necessary and sufficient for quantum mechanics.\nSpace-time proves to be relational and the fields are free of singularities",
"arxiv_id": "physics/0206011",
"authors": [
"D. J. Bendaniel"
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"categories": [
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"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Definability in Physics",
"url": "https://arxiv.org/abs/physics/0206011"
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