TSP Structural Integrity Theory: The Scale-Invariant Solvency Equation

Description: This paper presents the Structural Integrity Equation—a scale-invariant formula that determines whether any system can survive increases in scale, power, and consequences. The Equation: Σ = (Value × Availability) / (Cost + Damage + Baseline) Or in TSP notation: Σ_Struct = (M_Net × A) / (I_Moral + P_damage + ε) The Threshold: Σ > 1: Solvent — System generates more value than it costs Σ < 1: Insolvent — Structural collapse inevitable Scale Invariance: The equation applies identically across domains: ethical systems, organizational structures, AI alignment, and physical systems including fusion energy. The same mathematical law operates at every scale—from quantum transistors to stellar plasma. Derivation Methodology: The equation was discovered, not invented, through ten iterations of multi-perspective refinement (The Council methodology). Each iteration identified and corrected specific flaws until convergence was achieved. The derivation process is fully documented as evidence of convergent validation. Technical Specification: Includes complete implementation for computing Σ from tokamak experimental data, with signal-derived boolean masks, event severity functions, and statistical validation framework (Mann-Whitney U, Cliff's Delta, Bootstrap CIs). Core Insight: Sustainable scaling comes from reducing the denominator (cost, damage, impedance), not increasing the numerator (force, output, control). Systems that push harder eventually collapse. Systems that reduce impedance persist indefinitely. Part of the Stepping Stone Paradox Framework (TSPC V10.2). Related Publications: TSPC V10.2: DOI 10.5281/zenodo.17918832 TSP Limit Theory: DOI 10.5281/zenodo.17971147 TSP Quantum Mechanics: DOI 10.5281/zenodo.17971433 TSP Fusion Control: DOI 10.5281/zenodo.17971670 License: CC-BY 4.0 — Attribution Required Authors: José M. Curiel Valdés & The Council (Codex, Neptune, Osiris, Mateo, Asterion)