Curving Flat Space-Time by Deformation Quantization?
Mathematical Physics
2017-08-08 v3 General Relativity and Quantum Cosmology
math.MP
Quantum Physics
Abstract
We use a deformed differential structure to obtain a curved metric by a deformation quantization of the flat space-time. In particular, by setting the deformation parameters to be equal to physical constants we obtain the Friedmann-Robertson-Walker (FRW) model for inflation and a deformed version of the FRW space-time. By calculating classical Einstein-equations for the extended space-time we obtain non-trivial solutions. Moreover, in this framework we obtain the Moyal-Weyl, i.e. a constant non-commutative space-time, by a consistency condition.
Cite
@article{arxiv.1608.02906,
title = {Curving Flat Space-Time by Deformation Quantization?},
author = {Albert Much},
journal= {arXiv preprint arXiv:1608.02906},
year = {2017}
}