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February 11, 20260 citationsOpen Access

The Dynamics of Discrete Fact: A Phase-Transition Theory of Wavefunction Collapse (v2, Expanded/Refined)

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AMAhmed Hamid Mahmoud

Key Points

  • This research aims to clarify wavefunction collapse as a physical phenomenon and its relation to nonequilibrium phase transitions.
  • Expanded model of wavefunction collapse as a critical instability.
  • Applied time-dependent Ginzburg–Landau dynamics.
  • Discussed spontaneous symmetry breaking in the apparatus–environment system.
  • Preserved born weights through a probability-conserving basin flow.
  • Specified experimental regimes for critical signatures.
  • Demonstrated explicit single-run collapse dynamics.
  • Strengthened the argument for born-rule preservation.
  • Identified signatures like critical slowing, hysteresis, and metastability.
  • Positioned collapse within emergent macroscopic instabilities.

Abstract

This is Version 2 of The Dynamics of Discrete Fact, presenting an expanded and clarified construction of wavefunction collapse as a genuine physical phenomenon: a nonequilibrium phase transition in a macroscopic measurement apparatus. As before, collapse is modeled as a critical instability in an emergent order parameter governed by time-dependent Ginzburg–Landau dynamics. Discrete outcomes arise through spontaneous symmetry breaking in the apparatus–environment system, while Born weights are preserved via probability-conserving basin flow in the associated Fokker–Planck description—without modifying the Schrödinger equation or introducing new constants. Relative to v1, v2 (i) makes the single-run (outcome-conditional) collapse dynamics explicit rather than implicit, (ii) strengthens the Born-rule preservation argument by tying basin structure more directly to apparatus symmetry, and (iii) tightens the experimental discussion by specifying the regimes in which critical signatures are and are not expected. The framework retains concrete signatures—critical slowing near threshold, hysteresis under parameter cycling, metastability, and outcome-correlated transient detector spikes—and positions collapse alongside emergent macroscopic instabilities such as superconductivity and ferromagnetism.

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Cite This Study

Ahmed Hamid Mahmoud (2026) studied this question.

synapsesocial.com/papers/698c1c46267fb587c655e8bdhttps://doi.org/10.5281/zenodo.18540998
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