Earthquake Quantization
arXiv:2303.06158 · doi:10.22331/q-2024-01-02-1216
Abstract
In this homage to Einstein's 144th birthday we propose a novel quantization prescription, where the paths of a path-integral are not random, but rather solutions of a geodesic equation in a random background. We show that this change of perspective can be made mathematically equivalent to the usual formulations of non-relativistic quantum mechanics. To conclude, we comment on conceptual issues, such as quantum gravity coupled to matter and the quantum equivalence principle.
accepted for publication in Quantum, 19 pages, see paperpitch https://youtu.be/Q2pw-KdQtso
References in corpus (7)
- Quantum superposition of spacetimes obeys Einstein's Equivalence Principle
- Geometrization of Quantum Mechanics
- Stochastic Mechanics and the Unification of Quantum Mechanics with Brownian Motion
- Noncommutativity and Physics: A non-technical review
- Symmetries of relativistic world-lines
- Path integral of the relativistic point particle in Minkowski space
- Quantum Mechanics from Stochastic Processes