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Recent results obtained in quantum measurements indicate that the fundamentalrelations between three physical properties of a system can be represented bycomplex conditional probabilities. Here, it is shown that these relationsprovide a fully deterministic and universally valid framework on which all ofquantum mechanics can be based. Specifically, quantum mechanics can be derivedby combining the rules of Bayesian probability theory with only a singleadditional law that explains the phases of complex probabilities. This law,which I introduce here as the law of quantum ergodicity, is based on theobservation that the reality of physical properties cannot be separated fromthe dynamics by which they emerge in measurement interactions. The complexphases are an expression of this inseparability and represent the dynamicalstructure of transformations between the different properties. In itsquantitative form, the law of quantum ergodicity describes a fundamentalrelation between the ergodic probabilities obtained by dynamical averaging andthe deterministic relations between three properties expressed by the complexconditional probabilities. The complete formalism of quantum mechanics can bederived from this one relation, without any axiomatic mathematical assumptionsabout state vectors or superpositions. It is therefore possible to explain allquantum phenomena as the consequence of a single fundamental law of physics.

Derivation of quantum mechanics from a single fundamental modification of the relations between physical properties