Coherence-Constrained Computation Theory (CCCT): A New Axis in Computational Complexity

This paper introduces Coherence-Constrained Computation Theory (CCCT), a formal framework in which coherence is treated as an independent computational resource alongside time and space. The work defines the Allen Orbital Lattice Machine, the Pattern Alignment Lock (PAL) condition, and the complexity classes PAOL and NPAOL, proposing a structural hierarchy for computation under coherence constraints. Beyond conventional brute-force scaling, the paper explores whether computational efficiency may depend not only on operation count, memory usage, and runtime, but also on the degree to which a computation remains structurally aligned with its governing substrate. In this formulation, coherence becomes a measurable axis of admissibility, stability, and resource cost. The framework further suggests that architectures designed to exploit the native logic of the Allen Orbital Lattice could, in principle, reduce dissipation, lower corrective overhead, and improve efficiency by operating with, rather than against, the equilibrium structure of the underlying system.