The Born Rule and Time-Reversal Symmetry of Quantum Equations of Motion

Foundations of Physics 46 (7):845-851 (2016)
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Abstract

It was repeatedly underlined in literature that quantum mechanics cannot be considered a closed theory if the Born Rule is postulated rather than derived from the first principles. In this work the Born Rule is derived from the time-reversal symmetry of quantum equations of motion. The derivation is based on a simple functional equation that takes into account properties of probability, as well as the linearity and time-reversal symmetry of quantum equations of motion. The derivation presented in this work also allows to determine certain limits to applicability of the Born Rule.

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References found in this work

Quantum Theory of Probability and Decisions.David Deutsch - 1999 - Proceedings of the Royal Society of London:3129--37.
Zur Quantenmechanik der Stoßvorgänge.Max Born - 1926 - Zeitschrift für Physik 37 (12):863-867.

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