Unified Dynamics from Time Generation: Schrödinger, Yang–Mills, and Einstein as Regimes of Generative Contraction

Unified Dynamics from Time Generation develops a single continuity-law framework in which quantum mechanics, gauge field theory, and gravitational dynamics emerge as regime-dependent consequences of irreversible record formation. Building on the time-generation law introduced in earlier work, the paper shows that: • Schrödinger evolution arises in the conservative limit of vanishing record formation.• Gauge structure follows from local relabelling invariance of a structured possibility field.• The scalar gravitational sector emerges via a conformal correspondence between contraction-rate dynamics and the Ricci scalar.• The full Einstein equations are recovered through a thermodynamic derivation using record-formation entropy. The presentation proceeds from conservative (quantum) limits through gauge-structured continuity to the gravitational sector, where the conformal identity of Section 7 acts as the structural hinge. This ordering reflects the logic of regime reconstruction rather than a chronological derivation and aligns the dynamics developed here with the time-generation framework introduced in "A Physical Law for the Local Generation of Time." A regime potential derived from Poisson large-deviation statistics fixes the scalar self-interaction structure and predicts a cubic coupling ratio λ₃/μ² = 1/3, yielding falsifiable Yukawa-type deviations from Newtonian gravity. The work positions quantum coherence, gauge symmetry, and spacetime geometry as different dynamical regimes of a single generative continuity equation rather than independent postulates. This manuscript forms part of the broader Regime Formation programme extending the time-generation framework.