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.
Rovelli, Why Gauge?, Foundations of Physics, 44, 91–104 (2014)
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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.