Universal Balance-Feedback Framework: A Unified Theory of Spacetime, Energy, Information, and Free Will

Abstract We propose the Universal Balance-Feedback Framework (UBFF), a unified theoretical framework in which spacetime geometry, energy distributions, information dynamics, and decision-making systems are governed by a single variational principle: the minimization of imbalance through feedback. We extend the Einstein-Hilbert action with an information-theoretic term involving a generalized density field Rho(x), which is treated as a scalar matter field minimally coupled to gravity via the volume element only. This coupling is explicitly justified. A complete variational derivation yields modified field equations with entropic corrections preserving diffeomorphism invariance. The relaxation equation governing feedback dynamics is derived — not postulated — from the stationarity condition of the information action under Rho-variations. Lyapunov stability analysis demonstrates asymptotic convergence to balanced equilibrium. The coupling constant λ carries dimensions of inverse length squared, is anchored to a single cosmological observable, and yields quantitative predictions for black-hole and neuroscience experiments. The FEP (Friston 2010) is shown to be structurally analogous to the cognitive sector of UBFF; the precise relationship and distinction are made explicit. Free will is argued to be compatibilist in a philosophically rigorous sense, engaging Frankfurt's hierarchical model and Dennett's heterophenomenology. Applications include corrections to black-hole entropy, a dynamical dark-energy mechanism, and a neurodynamic decision-making model. Falsifiable experimental proposals with quantitative thresholds are provided.