Author: Sean Sowden
Website: primefoldtheory.org
Prime Fold Theory (PFT) reinterprets structural dynamics through three primitives:
The Law of Structural Invariance asserts conservation of the product Φτ̄ between events, with resets at threshold crossings. This repo hosts the modular paper series that formalizes, tests, and applies this framework.
Defines the Fold primitives (Φ, τ̄, κ), states the invariance law, introduces the Structural Recursive Field (SRF), and frames the math program.
Type: Theory-first, conceptual groundwork.
Stress-tests fold-time invariance across two toy systems (SRF lattice, quake toy), multiple dimensions, and parameter sweeps.
Results: normalized τ̄ cycles are invariant across systems, dimensions, and conditions.
Type: Simulation study.
Proves the “Big Five” theorems:
Includes a numerical blueprint and a minimal reference solver with audit checks.
Artifacts:
fold_solver_1d.py — reference solverdemo_plots.py — plotting scriptREADME_mod2p2_scripts.md — usage notesApplies Fold Gravity to Quaoar’s ring system beyond the Roche limit.
Result: ring location matches predicted fold-shell boundary; extends to Haumea and Chariklo.
Type: Empirical application.
© 2025 Sean Sowden. Licensed under CC BY–NC 4.0.
You are free to share and adapt the work with attribution, for non-commercial purposes.
See LICENSE for details.