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.
Geroch, General Relativity: 1972 Lecture Notes (Minkowski Institute Press, Montreal, 2013)
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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.