Time-travelling billiard-ball clocks: a quantum model
Lachlan G. Bishop,
Fabio Costa,
Timothy C. Ralph
Abstract:We present a novel quantum circuit formulation of the time-travelling billiard ball paradox. We show how the indeterministic histories of the paradox may be emulated via the incorporation of a vacuum state into the circuit's Hilbert space. By employing a quantum clock state, we demonstrate how the multiple self-consistent trajectories of the billiard ball through the chronology-violating region can be distinguished. This technique enables us to rigorously probe the mechanisms of the two foremost quantum theori… Show more
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