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Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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The Dynamics of Discrete Fact: A Phase-Transition Theory of Wavefunction Collapse (V3_ii)

Authors: Ahmed Hamid Mahmoud;

The Dynamics of Discrete Fact: A Phase-Transition Theory of Wavefunction Collapse (V3_ii)

Abstract

This is Version 3_ii (updated) of The Dynamics of Discrete Fact, presenting the same construction of wavefunction collapse as a nonequilibrium phase transition in a macroscopic measurement apparatus, now with corrected algebra in all peripheral sections and tightened presentation throughout. The core framework—TDGL dynamics, spontaneous symmetry breaking, Born-rule preservation via probability-conserving basin flow, and the full derivation chain from the Schrödinger equation—is unchanged. Relative to v2, v3 (i) corrects systematic factor-of-J errors in the Curie–Weiss illustrative example, (ii) fixes the classicality criterion to properly separate the temperature condition (quantum vs. thermal fluctuations) from the N-dependent decoherence condition, (iii) replaces an incorrect power-law singularity for the transient detector spike with the correct bounded peak from the nonlinear TDGL solution, (iv) removes an unjustified 2/3 exponent for the critical photon number in favor of the honestly derived linear scaling, and (v) corrects the RG irrelevance argument to reference the mean-field regime. A subdominant logarithmic correction to the collapse-time formula and a clarification of the maximal-polarization convention in the Schwinger–Keldysh appendix are also included. The framework retains its four concrete signatures—critical slowing near threshold, hysteresis under parameter cycling, metastability, and outcome-correlated transient detector spikes—and continues to position collapse alongside emergent macroscopic instabilities such as superconductivity and ferromagnetism.

Related Organizations
Keywords

Phase transitions, Born rule, Wavefunction collapse, Nonequilibrium dynamics, Decoherence, Pointer states, Quantum foundations, Measurement problem, Spontaneous symmetry breaking, Quantum mechanics, Ginzburg–Landau theory, Open quantum systems, Critical phenomena

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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