Historical records - Universal Functional Coherence Theory: A Milestone for the Unification of Physics and the Emergence of Reality as Process

Modern physics remains divided across four foundational frameworks: General

Relativity, Quantum Mechanics, Thermodynamics, and Information Theory. Each captures

essential aspects of nature, yet none provides a universal principle reconciling geometry,

indeterminacy, dissipation, and organization. The Universal Functional Coherence Theory

(UFCT) addresses this gap by introducing functional coherence (χ) as an ontological variable

with canonical dimension T⁻². Its evolution is governed by two complementary equations: a

dynamic law, formulated as a nonlinear diffusion–dissipation equation (∂tχ + ∇·(−Dχ∇χ) =

−κ·Dχ·ψ·χ²), which ensures irreversibility and establishes the arrow of time; and an equilibrium

law (χ_eq = (αℛ + βη)/ψ), which defines the structural attractor toward which all evolution

converges. Together, these laws secure dimensional closure (all terms scale as T⁻³) and establish

a teleodynamic ontology: time as irreversible dissipation and space as stabilized equilibrium.

From this structure emerge universal invariants — κ ≈ 0.17, the dissipation constant confirmed

in quantum annealers and random quantum circuits; d_f ≈ 4.125, a fractal dimension of large-

scale cosmic structure; and Ξ₀, the ontological pixel representing the minimal quantum of

execution of reality. These invariants provide falsifiable signatures across quantum, condensed

matter, and cosmological domains. By recovering established theories in appropriate limits and

yielding novel, testable predictions, UFCT positions itself as a rigorous and unifying framework

for the fundamental laws of physics.