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Quantum Simulation
Space-Time from quantum Physics
arXiv
Authors: Fabrice Debbasch
Year
2023
Paper ID
54249
Status
Preprint
Abstract Read
~2 min
Abstract Words
96
Citations
N/A
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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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- A construction of the real 4D Minkowski space-time starting from quantum harmonic oscillators is proposed.
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