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

Abstract

For quantum systems, whose energy ratios E n /E 0 are integers, and |E 0 | 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/|E 0 |, 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 spacetime is not physical one and that we live in a three-dimensional space with a time.