Classical Attractors and Regulatory Density: Structural Correspondence Between Lohmiller-Slotine Exact Quantum Reconstruction and the CDR Cycle

Description: This paper maps three epistemically graded structural correspondences betweenLohmiller-Slotine exact classical-path quantum reconstruction (2026) and the CDR/GTRSregulatory grammar from the Sovereign Ideas Papers corpus: (1) finite extremal paths ↔attractor convergence (pattern-level), (2) classical density ↔ regulatory ratio (analogical), (3)measurement as boundary completion ↔ decoherence as boundary saturation (structural atprocess-grammar level). A thermodynamic extension conjecture proposes that L&S's kinematicdensity is the zero-dissipation limit of a thermodynamic density. Computational testing(SIP-PHY-05a) falsifies the naive global linear scaling but recovers near-linear scaling in theweak-dissipation regime and derives a thermal equilibrium floor f∞ = 1/(1 + 2n_th). HATI³evaluation: Kimi 94.5/100, DeepSeek Panel 90/100 (flagship Tier 1)