Halim, Umair (2026) Real-Alignment Interpretation: Contextual Phase Synchronization as a Mechanism for Quantum Measurement. [Preprint]

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Abstract

We develop a minimal phase-dynamical extension of the Real Alignment Interpretation for quantum measurement, in which a system state f(t) interacts with a contextual state g(t) through weak coupling and near-resonant dynamics. Starting from a two-mode Schrodinger description, we obtain an effective Adler-type equation for the relative phase. The resulting dynamics exhibits two qualitatively distinct regimes: a locked regime, in which the phase approaches a stable fixed point and the system-context pair becomes real-aligned, and a drifting regime, in which the phase explores the circle and alignment events occur intermittently. The locked regime yields a characteristic event time, while the drifting regime gives rise to inter-click statistics and effective probabilistic behavior under coarse-graining. We show that the dynamics can be represented as overdamped motion in a tilted washboard potential and that Born-type probabilities are recovered under ergodic phase sampling and detector-symmetric or calibrated channel response. In this picture, measurement is modeled as a synchronization process rather than an instantaneous collapse. The framework provides an analytically tractable mechanism by which contextual coupling can generate discrete outcomes, event timing, emergent probabilities, and possible phase-sensitive deviations from ideal Born statistics.

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Item Type:	Preprint
Creators:	Creators Email ORCID Halim, Umair umair@upm.edu.my
Keywords:	Quantum measurement, Phase synchronization, Adler equation, Contextual dynamics, Quantum foundations, Emergent probability
Subjects:	Specific Sciences > Probability/Statistics Specific Sciences > Physics > Quantum Mechanics General Issues > Theory/Observation
Depositing User:	Dr. Umair Abdul Halim
Date Deposited:	03 May 2026 16:25
Last Modified:	03 May 2026 16:25
Item ID:	29449
Subjects:	Specific Sciences > Probability/Statistics Specific Sciences > Physics > Quantum Mechanics General Issues > Theory/Observation
Date:	1 May 2026
URI:	https://philsci-archive.pitt.edu/id/eprint/29449

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