The clock effect described presupposes that clocks are ideal integrators of the connection along worldlines, but real clocks are quantum systems whose rates are determined by local Hamiltonian dynamics, not path-dependent geometric accumulation.
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The path that an object traces through space and time as it moves—imagine drawing a line through a 4D graph showing where something is at every moment.
path-dependent(describes how clock differences accumulate based on the specific path taken)
A situation where the outcome depends on the specific history of events that led to it, not just the starting and ending points—like how the total distance traveled matters, not just where you started and ended up.