Q-functions as models of physical reality

Abstract

We show that one may interpret physical reality as random fields in space-time. These have a probability given by the expectation of a coherent state projection operator, called the Q-function. The resulting dynamical evolution includes retrocausal effects. This suggests that a physical universe exists without requiring observers, but with a well-defined probability for its field configuration. By including the meter dynamics, we show that field trajectories have quantum measurement properties without wave-function collapse, including sharp measured eigenvalues. We treat continuous and discrete measurements, and show that this model predicts Bell inequality violations for measurements on correlated spins. A discussion is give of a number of well-known quantum paradoxes, showing how these can be treated in a realistic model of measurement. Our theory resolves a number of practical and philosophical issues in quantum measurement, and we compare it with earlier theories.

Second version, corrected and expanded, published in Phys. Rev. Research

References in corpus (7)

• Detection of 15 dB Squeezed States of Light and their Application for the Absolute Calibration of Photoelectric Quantum Efficiency
• Nanomechanical motion measured with precision beyond the standard quantum limit
• Is the quantum state real? An extended review of $\psi$-ontology theorems
• Quantum mechanics as classical statistical mechanics with an ontic extension and an epistemic restriction
• Probabilistic quantum phase-space simulation of Bell violations and their dynamical evolution
• Quantum probabilistic sampling of multipartite 60-qubit Bell inequality violations
• Probabilistic Q-function distributions in fermionic phase-space

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• Introducing the Q-based interpretation of quantum theory
• Time-symmetry and topology of the Aharonov-Bohm effect
• Forward-backward stochastic simulations: Q-based model for measurement and Bell-nonlocality consistent with weak local realistic premises
• Kochen-Specker non-contextuality through the lens of quantization