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

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.

4 pages, 1 figure

References in corpus (3)

• Operational Quantum Mechanics, Quantum Axiomatics and Quantum Structures
• Entanglement Symmetry, Amplitudes, and Probabilities: Inverting Born's Rule
• Derivation of the Born rule from the unitarity of quantum evolution

Cited by in corpus (1)

• Derive the Born's rule from environment-induced stochastic dynamics of wave-functions in an open system