Space-Time from quantum Physics
General Relativity and Quantum Cosmology
2023-10-04 v1 High Energy Physics - Theory
Quantum Physics
Abstract
A construction of the real 4D Minkowski space-time starting from quantum harmonic oscillators is proposed. First, a 2D spinor space and its dual are derived from the standard commutation relations obeyed by the ladder operators of two independent 1D harmonic oscillators. The complex 4D Minkowvski vector space V is then constructed from these spinor space. The flat, real 4D Minkowski manifold is finally built as an approximate description of a manifold of unitary operators constructed from V. Lorentz invariance is recovered and several possible extensions are discussed, which connections to quantum optics and condensed matter physics.
Cite
@article{arxiv.2310.01447,
title = {Space-Time from quantum Physics},
author = {Fabrice Debbasch},
journal= {arXiv preprint arXiv:2310.01447},
year = {2023}
}