Historical records - Universal Functional Coherence Theory: An Ontological Framework for the Unification of Physics

This article presents the Universal Functional Coherence Theory (UFCT), a proposal to unify physics within a closed ontological framework. The theory is structured around four fundamental invariants — functional diffusivity (Dχ), the quantum of linear action (Ξ₀), the irreversibility constant (κ), and the fractal dimension (d_f) — and a universal complex field Φ = √ψ + i√χ, where ψ represents stability and χ represents transformation. From this minimal grammar, the UFCT derives irreversibility, quantization, and holography as inevitable mathematical consequences, rather than as postulated hypotheses. Dimensional closure ensures that constants such as ħ, G, and c are not arbitrary parameters but emergent projections of functional coherence. The framework reinterprets space, time, and information as emergent entities: time arises from the universal signature of irreversibility, space from the functional metric f = χ²/ψ, and information as the dual of coherence. This provides a unified substrate in which General Relativity, Quantum Mechanics, Thermodynamics, and Information Theory appear as sectoral projections of the same dynamics. The theory offers concrete and falsifiable predictions: discrete multipoles in the Cosmic Microwave Background spectrum, stabilization of the Hubble parameter, and critical exponents in Bose–Einstein condensates. These predictions establish a research program that connects laboratory, astrophysical, and cosmological scales. The UFCT is an ambitious proposal that seeks not only to unify existing theories but also to redefine the very status of physical laws: from contingent postulates to necessary consequences of mathematics in execution. Given its scope, the framework must be carefully scrutinized, tested, and debated. We are open to suggestions and collaborations for the refinement and exploration of the implications of this theory.