BenDaniel, David Jacob (2003) Definability and a Nonlinear Sigma Model. [Preprint] (Unpublished)

Preview

PDF 19_Nov.2.pdf Download (167kB)

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.

---

Export/Citation:

EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL

Social Networking:

Share |

---

Item Type:	Preprint
Creators:	Creators Email ORCID BenDaniel, David Jacob
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
Depositing User:	David Jacob BenDaniel
Date Deposited:	03 Dec 2003
Last Modified:	07 Oct 2010 15:12
Item ID:	1506
Public Domain:	No
Subjects:	Specific Sciences > Physics > Fields and Particles Specific Sciences > Physics > Quantum Mechanics Specific Sciences > Physics > Quantum Field Theory
Date:	January 2003
URI:	https://philsci-archive.pitt.edu/id/eprint/1506

Available Versions of this Item

• Definability and a Nonlinear Sigma Model. (deposited 29 Aug 2003)

Monthly Views for the past 3 years

Monthly Downloads for the past 3 years

Plum Analytics

Actions (login required)

View Item