Neural Correlates of Qualia as Load-Minimizing Fractal Structures: An Extension of the Unified Qualia Equation (UQE)

The Unified Qualia Equation (UQE), developed within Load Minimization Theory (LMT), proposes that qualia — the subjective qualities of conscious experience — arise from three fundamental axes: structural integration (As), relational completion (Ar), and load change rate (dL/dτ). This paper extends UQE by demonstrating that established neural correlates of consciousness (NCC) naturally correspond to these axes. While previous NCC research has successfully identified correlations between specific neural activities and conscious experience (e.g., 40 Hz gamma synchronization, Default Mode Network activity, and predictive coding mechanisms), it has left the deeper question largely unanswered: why do these particular neural patterns give rise to qualia? We argue that neural correlates of qualia are not arbitrary but represent the brain’s optimal fractal structures for minimizing total load ( L = U + F + E − ℛ). Specifically, gamma-band synchronization supports structural integration (As), DMN integration enables relational completion (Ar), and predictive processing realizes real-time load minimization (dL/dτ). A smooth tensor formulation is proposed: Q_{ijk}(t) = A_s(γ_sync_{ij}) ⊙ A_r(DMN_{ik}) ⊙ e^{-dL/dτ + ε(t)} where ⊙ denotes smooth interaction and ( ε(t)) represents natural fluctuation. This framework unifies neuroscientific findings with LMT, offering a physically grounded yet gentle explanation of how the brain creates the felt quality of experience.