A covariant first-quantized clock formalism yields unitary proper-time evolution for inertial and magnetically accelerated clocks, producing density matrices whose peaks recover classical time dilation plus Gaussian or modulated quantum fluctuations for coherent states.
Oppenheim, A Postquantum Theory of Classical Grav- ity?, Physical Review X 13, 041040 (2023)
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A spacetime-covariant approach to inertial and accelerated quantum clocks in first-quantization
A covariant first-quantized clock formalism yields unitary proper-time evolution for inertial and magnetically accelerated clocks, producing density matrices whose peaks recover classical time dilation plus Gaussian or modulated quantum fluctuations for coherent states.