This paper investigates quantum clocks constructed from relativistic particles moving through curved spacetime. It derives the probability of one clock reading a specific proper time given another clock's reading, demonstrating that clocks with localized momentum wave packets observe classical time dilation. A quantum correction to time dilation is identified for clocks in momentum superposition states, potentially observable experimentally. A proper time-energy/mass uncertainty relation is derived using the Helstrom-Holevo lower bound.
Publisher
Nature Communications
Published On
Oct 23, 2020
Authors
Alexander R. H. Smith, Mehdi Ahmadi
Tags
quantum clocks
curved spacetime
time dilation
momentum superposition
uncertainty relation
proper time
quantum corrections
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