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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A. Gersten (2003) Found. Phys. 33 1237–1251 Occurrence Handle10.1023/A:1025631125442 Occurrence Handle2004i:83006
R. Penrose (1994) Shadows of the Mind Oxford University Press Oxford 384
A. Gersten (1998) Ann. Phys. 262 47–72 Occurrence Handle1998AnPhy.262...47G Occurrence Handle0924.94004 Occurrence Handle99a:81089a
A. Gersten (1998) Ann. Phys. 262 73–104 Occurrence Handle1998AnPhy.262...73G Occurrence Handle0924.94005 Occurrence Handle99a:81089b
A.B. Alekseyev et al. (2000) J Chem Phys. 113 1514–1523 Occurrence Handle2000JChPh.113.1514A
S. Rutz E. Schreiber (1998) Eur. Phys. J D4 151–158 Occurrence Handle1998EPJD....4..151R
J.A. Yeazell C.R. Stroud SuffixJr. (1991) Phys. Rev. A43 5153–5156 Occurrence Handle1991PhRvA..43.5153Y
V.V. Lozovoy et al. (1999) Chem. Phys. 243 97–114 Occurrence Handle10.1016/S0301-0104(99)00030-0
K. Razi Naqvi S. Waldenstrom T. Haji Hassan (2001) Eurl. J. Phys. 22 395–402
A. Buchleitner D. Delande J. Zakrzewski (2002) Phys. Rep. 368 409–547 Occurrence Handle10.1016/S0370-1573(02)00270-3 Occurrence Handle2002PhR...368..409B Occurrence Handle2003g:81068
K. Dupret D. Delande (1996) Phys. Rev A 53 1257–1273 Occurrence Handle1996PhRvA..53.1257D
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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). https://doi.org/10.1007/s10701-005-6447-3
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DOI: https://doi.org/10.1007/s10701-005-6447-3