A time-symmetric formulation of nonrelativistic quantum mechanics is developed by applying two consecutive boundary conditions onto solutions of a time- symmetrized wave equation. From known probabilities in ordinary quantum mechanics, a time-symmetric parameter P0 is then derived that properly weights the likelihood of any complete sequence of measurement outcomes on a quantum system. The results appear to match standard quantum mechanics, but do so without requiring a time-asymmetric collapse of the wavefunction upon measurement, thereby realigning quantum mechanics with an important fundamental symmetry.
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Communicated by Alwyn van der Merwe
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Wharton, K.B. Time-Symmetric Quantum Mechanics. Found Phys 37, 159–168 (2007). https://doi.org/10.1007/s10701-006-9089-1
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DOI: https://doi.org/10.1007/s10701-006-9089-1