Definability and a Nonlinear Sigma Model
BenDaniel, David Jacob (2003) Definability and a Nonlinear Sigma Model.
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Abstract
The concept of definability of physical fields is introduced and a set-theoretical foundation is proposed. In this foundation, we obtain a scale invariant nonlinear sigma model and then show that quantization of the model is necessary and sufficient for definability. We also obtain compactification of the spatial dimensions effectively and show its equivalence to quantization.
| Keywords: | Definability, Nonlinear Sigma Model, Compactification, Scalar Invariance, Axiomatic, Foundations of Physics |
|---|---|
| Subjects: | Specific Sciences: Physics: Fields and Particles Specific Sciences: Physics: Quantum Mechanics Specific Sciences: Physics: Quantum Field Theory |
| ID Code: | 1506 |
| Deposited By: | BenDaniel, David Jacob |
| Deposited On: | 03 December 2003 |
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