Space-Time from quantum Physics

• URL: http://arxiv.org/abs/2310.01447v1
• Date: Sun, 1 Oct 2023 14:50:46 GMT
• Title: Space-Time from quantum Physics
• Authors: Fabrice Debbasch
• Abstract summary: Construction of the real 4D Minkowski space-time starting from quantum harmonic oscillators is proposed. The complex 4D Minkowvski vector space V is then constructed from these spinor space.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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