Universality of quantum time dilation

• DOI: 10.48550/arxiv.2211.02425
• Publication Date: 2022-01-01
• Authors: Kacper Dębski; Piotr T. Grochowski; Rafał Demkowicz-D...; Andrzej Dragan
• Keywords: Gravitational time dilation; Coordinate time; Dilation (metric space)

Time dilation is a difference in measured time between two clocks that either move with different velocities or experience gravitational potentials. Both of these effects stem from the theory relativity and are usually associated classically defined trajectories, characterized by position, momentum, acceleration. However, when spatial degrees freedom treated quantum way clock allowed to be coherent superposition momenta heights, additional corrections classical appear, called kinematic dilations, respectively. We show similarly its counterpart, universal for any mechanism, while not. also although both reduce incoherent averaging contributions, there exists an effect has no analog can extracted higher-order system's Hamiltonian.