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Experiment to Test Whether We Live in a Four-Dimensional Physical Space–Time

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For quantum systems, whose energy ratios En/E0 are integers, and |E0| is the smallest energy, the time dependent wavefunctions and expectation values of time independent operators have time periodicitiy with a time period T equal to T = h/|E0|, where h is the Planck constant. This periodicity is imposed on the wavefunctions due to undersampling in energy, but following a similarity with aliasing in signal analysis, it may allow to probe future and past events under the condition that our world is in reality a true four-dimensional, “static” space–time. We suggest an experiment to test that possibility. A positive result will indicate that we live in a four-dimensional space–time. A negative result (not getting signals from the future) will indicate that four-dimensional space–time is not physical one and that we live in a three-dimensional space with a time.

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Correspondence to Alexander Gersten.

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Gersten, A. Experiment to Test Whether We Live in a Four-Dimensional Physical Space–Time. Found Phys 35, 1445–1452 (2005).

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