Towards a Discrete Spacetime
High Energy Physics - Theory
2010-07-01 v1 General Relativity and Quantum Cosmology
Quantum Physics
Abstract
A formalism is proposed to generate (the first step of) a discrete spacetime: spacetime with an inbuilt length scale. We follow the celebrated Landau theory of liquid - solid phase transition induced by Spontaneous Symmetry Breaking by a condensate whose Fourier transform has support at a {\it{non-zero}} momentum. The latter requirement is essential for breaking the translation symmetry. This, in turn, compels us to generalize Einstein action to higher derivative terms.
Cite
@article{arxiv.1006.5774,
title = {Towards a Discrete Spacetime},
author = {Sudipta Das and Subir Ghosh},
journal= {arXiv preprint arXiv:1006.5774},
year = {2010}
}
Comments
7 pages, Latex, Comments are welcome