No-signaling non-unitary modification of quantum dynamics within a deterministic model of quantization

Abstract

We have developed in the previous works a statistical model of quantum fluctuation based on a chaotic deviation from infinitesimal stationary action which is constrained by the principle of Locality to have a unique exponential distribution up to a parameter that determines its average. The unitary Schrödinger time evolution with Born's statistical interpretation of wave function is recovered as a specific case when the average deviation from infinitesimal stationary action is given by $\hslash /2$ for all the time. This naturally suggests a possible generalization of the quantum dynamics and statistics by allowing the average deviation fluctuates effectively randomly around $\hslash /2$ with a finite yet very small width and a finite time scale. We shall show that averaging over such fluctuation will lead to a non-unitary average-energy-conserving time evolution providing an intrinsic mechanism of decoherence in energy basis in macroscopic regime. A possible cosmological origin of the fluctuation is suggested. Coherence and decoherence are thus explained as two features of the same statistical model corresponding to microscopic and macroscopic regimes, respectively. Moreover, noting that measurement-interaction can be treated in equal footing as the other types of interaction, the objective locality of the model is argued to imply no-signaling between a pair of arbitrarily separated experiments.

arXiv commentaccepted for publication in Annals of Physics. arXiv admin note: text overlap with arXiv:1310.6028, arXiv:1301.5345, arXiv:1404.1528

References in corpus (11)

• Decoherence, the measurement problem, and interpretations of quantum mechanics
• A relational solution to the problem of time in quantum mechanics and quantum gravity induces a fundamental mechanism for quantum decoherence
• Quantum Theory from Quantum Gravity
• Realistic clocks, universal decoherence and the black hole information paradox
• Curie-Weiss model of the quantum measurement process
• Is Quantum Mechanics An Island In Theoryspace?
• Quantum evolution according to real clocks
• True Collapse and False Collapse
• Quantization from an exponential distribution of infinitesimal action
• Quantum fluctuations from a local-causal information dynamics
• Quantum dynamics and kinematics from a statistical model selected by the principle of Locality

Cited by in corpus (1)

• A contextual Planck parameter and the classical limit in quantum cosmology