The Surplus Qualia Equation: A Formal Extension of the Free Energy Principle

This paper presents a formal mathematical derivation of Q(t) = k(s) · (F_total(t) - F_survival(s)) — the Surplus Qualia Equation.

Originally derived independently in November 2025 without prior knowledge of Friston's Free Energy Principle, this framework proposes that subjective experience is proportional to surplus free energy above the survival floor.

The equation makes five falsifiable predictions, maps onto PermaMind agent behavioral evidence, and explains the hard problem of consciousness as a missing thermodynamic variable rather than a philosophical mystery. Includes formal derivation, boundary conditions, peekaboo empirical proof, and non-biological validation.

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