The Implicit Resolution of Combinatorial Complexity Part II

Following the finite quadratic limitations and the Implicit Domain Theorem established in Part I, this paper elevates the axiomatic framework to non-linear topologies and N-body interactions. We first formalize the measurement constraint, proving that purely quantum architectures face a fundamental extraction bottleneck, necessitating a hybrid extraction paradigm. We then discard the continuous Taylor expansion in favor of pseudo-Boolean algebra, proving that classical explicit trajectories face a combinatorial explosion governed by higher-order multi-linear tensors. Finally, we demonstrate that while quantum domains implicitly absorb these pseudo-Boolean topologies natively, physical hardware execution requires explicit quadratization via auxiliary gadgets, introducing severe thermodynamic, graph theoretic, and asymptotic analog precision constraints.