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Testing trajectory-based determinism via probability distributions
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DOI：10.1016/j.cjph.2025.08.020.png)
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Abstract
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• Standard Quantum Mechanics (SQM) does not assign a Hermitian operator for time, although there is a general consensus that this quantity can be measured. • Such an ambiguous SQM scenario also prevents us from deriving quantum distributions for time. • Trajectory-equipped theories (TET) naturally contemplate determinism, producing position-time and momentum-time correlations. • Using this framework, we deduce general probability distributions for time. • Employing TET, we suggest experimentally testing some predictions that are unreachable by SQM.
Keywords:
Quantum mechanics
Time operator
Trajectory-equipped theories
Probability distributions
Experimental predictions
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