Symbolic Entropy Collapse: Exploring Topological Dynamics, Recursive Harmonics, and Quantum Correspondence

Symbolic Entropy Collapse (SEC) describes how structure forms when information gradients dominate entropy gradients. The governing equation ∂S/∂t = α∇I − β∇H predicts that systems undergo phase transitions at critical entropy thresholds, with structure crystallizing where information flow exceeds dissipation.

April 2026 Update

• SEC propagation mechanism (M6 — Scoped Mediation): SEC structure formation now has a propagation mechanism
• SEC derived from symmetry (M7 — The Symmetry Primitive): SEC is now traced to a pre-axiomatic origin: Symmetry → Self-reference → Recursion → ADE classification → PAC/SEC/MED/RBF
• SEC makes falsifiable BSM predictions (M8 — BSM Predictions, 100%): The cascade structure that SEC describes produces 10 pre-registered falsifiable predictions, 0 excluded by current data
• SEC cascade clock resolves cosmological tensions (M9 — The Infodynamic Mechanism): A single cascade clock N(t) = a + (1/ln φ)·ln(t_lookback) unifies S8, Hubble, and JWST data points

Package Contents

• Paper (Markdown + LaTeX + PDF source)
• Code/ — 13 experiment scripts with reproduce.py entry point
• Data/ — Raw JSON experiment outputs
• Figures/ — 7 publication-quality visualizations

Part of Dawn Field Theory (PAC/SEC/MED/RBF framework). Source code and experiments: https://github.com/dawn-field-institute/dawn-field-theory

Reproduction: python Code/reproduce.py