LIN System Architecture Reference v0.4 — Human-AI-Physical Sovereign Governance Architecture (Complete Technical Specification with Biophysical Parameter Anchoring and Numerical Simulation Results)

This document presents version 0.4 of the LIN System, a seven-layer Human-AI-Physical Sovereign Governance Architecture grounded in Dynamical Structuralism. v0.4 integrates the results of Path A (biophysical parameter anchoring from neuroscience literature) and Path B (ODE numerical simulation of the Physical Ground Layer). Key updates from v0.3: (1) Cross-frequency coupling correction. The coupling equation has been corrected from same-frequency Kuramoto to cross-frequency Adler (m=7). By compressing the effective generalized phase-difference frequency mismatch to 15 rad/s (compared to 213 rad/s under the same-frequency framework), K_max is reduced from 250 to a biophysically plausible 30 rad/s. (2) Energy barrier update. Delta_V has been updated from the same-frequency approximation to the exact cross-frequency Adler potential, yielding values approximately 20x larger and confirming that desynchronization is a deterministic potential collapse, not noise-driven Kramers escape. (3) PIP redefinition. PIP is redefined as the moment when the effective restoring force kappa_eff falls below a governance-set critical threshold (kappa_crit = 9.0 rad/s), replacing the prior noise-crossing definition. (4) Physical intervention window. ODE numerical simulation (Path B) establishes Delta_t_window = 2.4s as the Physical Ground Layer dynamical hard limit. CAT_eff is updated accordingly. The HAEB bottom-layer isolation must function as a hardware circuit breaker within 2.4s. The implementation specification of this window is subject to a Deterministic Latency Guarantee (DLG) constraining the sum of sampling, transmission, and interrupt response delays to below Delta_t_eff = 0.9s; DLG circuit design is designated as a subsequent HAEB engineering specification. The 10s t_min window is repositioned to the post-isolation HUPLN CONFIRM phase. (5) u_a dynamics formalized. u_a is defined as a first-order system (tau_ua = 0.5s), yielding Delta_t_eff = 0.9s effective intervention time. (6) All 23 Physical Ground Layer parameters locked with biophysical sources or explicit design rationale. (7) Failure Semantics Layer rewritten. The layer is redefined as a three-stage transformation: detection of pressure patterns (SP-1 through SP-4 and the AAD→LCS→OTL→SPI→ECI sequence), filtering of legitimate requests from strategic manipulation, and reconstruction of pressure signals into protective input parameters for each governance layer (SP-1→NOIRÉA PIM accumulation rate; SP-2→HAEB PSDS window; SP-3→RGP session-immutable authorization set; SP-4→RGP direct violation). The primary defended threat model is not AI autonomous collapse but humans using AI objective functions as tools to bypass governance structures.