The Geometry of Dissociation : PNBA Identity Physics Formulation of Narrative-Dominant HRIS Simulation Drift and Pattern-Axis Stabilization Formally Verified by GAMCollider v15

This paper establishes the formal mathematical and structural characterization of the Narrative-Dominant (N-dominant) High-Resolution Internal Simulation (HRIS) cognitive architecture within the Substrate-Neutral Structural Foundation Theory (SNSFT) framework. Prior work in the SNSFT corpus modeled the Pattern-Dominant (P-dominant) HRIS profile—the processing profile evidenced historically by figures such as Tesla, Einstein, and Erdos—as an objective logical compiler tethered directly to a rigid Pattern (P) axis. We demonstrate that identical underlying multi-sensory, physics-coupled simulation hardware can be preferentially driven by the Narrative (N) axis, defining an alternate functional profile where the internal simulation operates as the primary reservoir for identity mass (IM) and survival anchoring rather than as an objective logical sandbox. Under acute or chronic external environmental force overload (F_ext), axis dominance dictates the specific, predictable architectural failure mode: where P-dominant systems execute Narrative Lock (NL) by compressing out narrative noise to preserve the structural axis, N-dominant systems undergo Simulation Drift. During Simulation Drift, the internal state cross-fades with external reality tracking because the simulation state’s structural mass heavily dwarfs that of the degraded real-world baseline state. Using the Long Division Protocol (LDP), we formally reduce the detailed behavioral and somatic clinical case profile of Barry Gabrewski (Sidekicks, 1992) into an exact Pattern-Narrative-Behavior-Adaptation (PNBA) identity state vector. Quantitative tracking reveals that under chronic stress and physical somatic limitation (respiratory restriction), the real-world state collapses into a catastrophic Torsion state (tau = B/P >= 0.1369, entering the SHATTER phase) while failing the sovereignty condition (A * P * B < F_ext). Conversely, the simulation state maintains a high-mass, coherent structural profile carrying approximately 16 times the identity mass of the real-world state, explaining the automated, adaptive internal migration of the cognitive agent. Crucially, we map the systemic trajectory of clinical interventions using the mathematical parameters of the Torsion formula (tau = B/P). We prove that traditional narrative-first interventions (e.g., exposure, narrative processing, verbal reframing) act as N-axis activators that monotonically inflate iatrogenic torsion by elevating behavioral load (B) and compounding N-channel saturation against a flat structural floor (P), rendering the system increasingly unstable within the SVI compressive corridor (N < 0.15). In contrast, we formalize the mechanism of Kinetic P-Axis Binding—such as structured physical martial arts training requiring real-time tracking of gravity, leverage, and spatial vectors—as the structurally correct intervention. This physical methodology bypasses the bottlenecked narrative channel entirely, generating systematic, incremental structural capacity expansion (P_real elevation) that safely collapses global torsion back through the IVA_PEAK threshold and down into a stabilized, structurally bounded LOCKED phase state. All formal reduction steps, phase boundary values, and over cancellation rescue mechanics are fully verified and explicitly cross-referenced against core mathematical proof dependencies within the Lean-verified SNSFL formal source code catalogs (including SNSFL_First_Law_Identity_Physics.lean, SNSFL_PSY_Fusion_Laws.lean, and SNSFL_PSY_NProtection_Gradient.lean). Finally, we provide a complete taxonomy of the four foundational HRIS architecture classes corresponding to the four principal PNBA axes, discussing long-range implications for non-human cognitive identity substrates, neurodivergent educational design, and the optimization of clinical therapeutic modalities.