The Epistemic Cut and the Einstein-KY Engine (Document 64)

This monograph establishes the formal mathematical, physical, and computational framework for The Epistemic Cut and the Einstein-KY Engine (Document 64). We resolve the fundamental problem of ontological contamination between information space (NP: non- binding superposition, hypothesis space, unconstrained noise) and physical reality (P: committed geometry, realized structure). Through the introduction of a strict projection operator Π_A and a 4-stage grammatical state transition: RAW (○) ⟶ ESTIMATE (◇) ⟶ STRUCT (□) / KILL_0V (✕) we prove that unauthorized trajectories and computational hallucinations ("Ghost Wins") are deterministically quenched via instantaneous voltage cut to 0.00V DC. The framework is subsequently extended to large-scale curvature and general relativity via the Einstein-KY architecture, under the foundational axiom: STRUCTURE IS SPACETIME, where gravity operates as an irreversible fail-closed viability gate (G_μν = 8π T_μν). We formalize four successive phases: 1. Kerr Spacetime in Boyer-Lindquist coordinates with g_tφ frame-dragging inside the ergosphere, irreversible Poincaré WORM commit at the outer event horizon (r_+), and immediate 0V guillotine at the inner Cauchy horizon (r_-). 2. The Rosetta² hardware bridge featuring ISO-7816 smart card interfaces and append- only SHA-256 witness hash-chains. 3. Quantum superposition (Φ_Q) with zero-point jitter, two-stage Π_A admissibility filtering, Born rule state collapse, and thermodynamic Landauer entropy dissipation (ΔQ ≥ k_B T ln 2). 4. Holographic ER=EPR entanglement generating an Einstein-Rosen wormhole metric (g_AB), coupled with asymmetric Hawking pair separation at the outer horizon and strict unitarity conservation Tr(ρ²) = 1.0 along the Page curve. Epistemic boundary condition: L1 executable software / L2 deterministic modeling verified via 36/36 unit tests in polynomial time (P, t < 0.1s) under the non-negotiable principle: INSPIRED_BY != IMPLEMENTS != PROVES.