The Shattered Crystal Architecture: Theory V9. 7 & Simulation Suite V10. 6 (Review Ready) This release represents the "Hardened" version of the Shattered Crystal Architecture, addressing rigorous field-theoretic constraints and numerical stability. 1. Theory V9. 7: Refined & Constrained (PDF) The V9. 7 manuscript incorporates strict physical bounds to ensure consistency with standard cosmology and field theory: Derrick's Theorem Solved: Explicitly incorporates a Quartic (Skyrme) Stabilizer term in the Lagrangian to permit stable 3D solitons. BBN Constraints: Defines the Phase Transition temperature (Tc) to suppress the stiff Aether phase during Nucleosynthesis (ₒₓ₈₅₅ < 10^-14). Constraints Ledger: Includes a new Appendix D explicitly auditing the theory against GW170817, Lorentz Invariance, and BBN bounds. Neutrino Micro-Physics: Defines the 3-generation limit via topological energy gaps and attributes CP violation to chiral Berry phases. 2. Simulation Suite V10. 6: Rigorous Field Theory (Python Code) The simulation engine has been rewritten to meet strict computational physics standards: Exact Variational Derivatives: Replaces simplified force approximations with exact discrete variational derivatives of the Faddeev-Skyrme energy functional. Periodic Boundary Conditions: Implements fully periodic boundaries to eliminate finite-box artifacts. Quartic Stabilization: Numerically implements the Skyrme term ( (_ n _ n) ²), verifying that Hopfion stability is a true physical result of the non-linear field theory, not a lattice artifact. Quaternion Injection: Uses quaternion multiplication for proper topological superposition of multi-particle states. Repository Contents: ShatteredCrystalV9. 7. pdf - The Review-Ready Manuscript. ShatteredCrystalSimulationSuiteᵥ10. 6Rigorous. zip - The Verified Physics Engine.
Benjamin S. Wilbur (Sat,) studied this question.