PhilSci Archive

Definability and a Nonlinear Sigma Model

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 [Preprint] (Unpublished)

WarningThere is a more recent version of this item available.

Download (167kB)


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
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

Available Versions of this Item

Monthly Views for the past 3 years

Monthly Downloads for the past 3 years

Plum Analytics

Actions (login required)

View Item View Item