Definability in Physics

Publication Year:
2005
Usage 456
Downloads 456
Repository URL:
http://philsci-archive.pitt.edu/id/eprint/2394
Author(s):
BenDaniel, David Jacob
preprint description
The concept of definability of physical fields in a set-theoretical foundation is introduced and an axiomatic set theory is proposed which provides precisely the tools necessary for a nonlinear sigma model. In this theory quantization of the model derives from a null postulate and becomes equivalent to definability. We also obtain scale invariance and compactification of the spatial dimensions effectively. The applicability of this foundation to quantum gravity is suggested.