The Dynamics of Discrete Fact: A Phase-Transition Theory of Wavefunction Collapse (V3)

This is Version 3 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.