The Becoming Principle: A Variational Ontology on CW-Complexes with Computational Implementation

We propose a universal variational principle on CW-complexes — the Becoming Principle — that unifies known physical laws, extends to non-physical domains (biology, economics, cognition, ethics), and resolves the infinite-regress problem of foundational constraints through a topological fixed-point construction. The central equation: G* = lim Tⁿ(∅), where T(K) = argmin Ω(G) subject to ∂∘∂=0 and c∈K. We show that classical mechanics, thermodynamics, electrodynamics, elasticity, quantum mechanics, and general relativity arise as special cases under specific choices of the complexity functional Ω, the graph G, and the constraint set K. We present a computational implementation (SkelHub) that executes the variational loop on engineering-scale graphs. We derive testable predictions: ∂²≠0 as a measure of systemic financial risk, frustrated multi-physics equilibria, and spectral relations between fundamental constants as eigenvalues of the self-application operator.