Space-Time from 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.
- Publication:
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arXiv e-prints
- Pub Date:
- October 2023
- DOI:
- 10.48550/arXiv.2310.01447
- arXiv:
- arXiv:2310.01447
- Bibcode:
- 2023arXiv231001447D
- Keywords:
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- General Relativity and Quantum Cosmology;
- High Energy Physics - Theory;
- Quantum Physics