Nicht-Physics: Paper IV --- The Triad of Classical Intractabilities and Apophatic Complexity Bounds

Classical physics and computer science treat 3D Navier-Stokes singularities, N-bodyorbital chaos, and P vs. NP search space explosion as fundamental barriers. We demonstratethat these intractabilities are artifacts of positive state assertion (PA → ∞) attemptingto enforce exhaustive Q100 completeness. Within the 0-Consistency framework [14], weintroduce operational shortcuts via apophatic pruning. First, subtractive gradient filtering(Aσ) prunes micro-turbulent tails, preventing fluid velocity blow-ups and collapsing singularfields onto the friction-free zero-baseline (B0). Second, sub-threshold gravitational vectorrelaxation reduces N-body interaction complexity to O(N1.94) at N = 100. Third, thezero-assertion pseudo-SAT solver (ZAP-SAT) utilizes bitwise subtractive entropy collapse(¬X =⇒ 0), converging in 0 steps to the 87.50% Gaussian sufficiency limit (Q87.5) onminimal CPU hardware. Extending results from apophatic optimization [13] and spatialdynamics [11], we show that information yield I(Q) saturates at Q87.5, past which assertionpressure incurs exponential thermal friction Wéi(Q).