The End of Computational Complexity and O(1) Extraction via Meta-Axioms

This study introduces a Meta-Axiomatic Short-circuit method to bypass the exponential computational explosion ($O(2^N)$) in ultra-large-scale complex systems, where the state space can reach $N = 10^{64}$ (Nayuta). Unlike conventional Turing Machine-based models, this approach relies on structural invariants rather than stepwise search, enabling immediate extraction of solutions without sequential computation. Experiments conducted on a standard Linux environment (Chromebook) demonstrate constant-time ($O(1)$) performance, with measured execution of 0.009 seconds and effectively zero CPU usage. This framework challenges traditional scaling laws in computational complexity, offers a new perspective on the P vs NP problem, and suggests the possibility of computation without thermodynamic entropy increase.