QWIM Quantum Wave Integration Model

We present QWIM (Quantum Wave Integration Model) — a unified, multi-layer theoreticalframework bridging quantum biophysics, neural oscillator synchronization, and a computationaltheory of consciousness. The mathematical core of the model is a variational modification of theKuramoto phase-coupled oscillator system with local adaptive noise, whose intensity depends oneach oscillator's energy gradient. We derive the free-energy functional governing the collectivedynamics, establish the Langevin equations of motion with the canonical sign convention, andobtain analytically the modified critical coupling Kc = 2(D₀ + α) in the thermodynamic limit. Thebiophysical substrate is proposed as nitrogen-vacancy (NV) centers in nanodiamonds, transducingquantum coherence into macroscopic calcium signaling via a spin-phonon bridge. We identify atwo-phase computational architecture (Wave/Coherence and Impulse/Localization) that maps ontotheta-gamma coupling in neural oscillations. The theory is explicitly positioned as a falsifiablehypothesis: we propose quantum beat signatures in EEG/MEG power spectra as the primaryexperimental test. All simulations are reproducible (N=1000, Python/Euler-Maruyama). This workdoes not claim experimental verification; it establishes a rigorous theoretical foundation and aconcrete experimental program for future testing