## 摘要

We present an exact quantum observable analog of the weak equivalence principle for a ‘relativistic’ quantum particle. The quantum geodesic equations are obtained from Heisenberg equations of motion as an exact analog of a fully covariant classical Hamiltonian evolution picture, with the proper identification of the canonical momentum variables as p _{µ }, rather than p ^{µ }. We discuss the meaning of the equations in relation to projective measurements as well as equations with solution curves as ones in the noncommutative geometric picture of spacetime, and a plausible approach to quantum gravity as a theory about quantum observables as physical quantities including the notion of quantum coordinate transformation.

原文 | ???core.languages.en_GB??? |
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文章編號 | 085013 |

期刊 | Classical and Quantum Gravity |

卷 | 41 |

發行號 | 8 |

DOIs | |

出版狀態 | 已出版 - 18 4月 2024 |