Theory of Everything from Empirical Galaxy Scaling Laws: The Space-Matter Continuum Formalism

10.5281/zenodo.18407317 We present a complete Theory of Everything based on the empirical discovery of scale symmetry in 175 galaxies.Analysis of the SMaC/UPG catalog reveals a precise scaling law: ℓ ∝ ρ−0.501±0.011 eff (p < 10−50), implying fundamental symmetry (r, ρ, M ) → (λr, λ−2ρ, λM ). We show this symmetry cannot emerge from Einstein’s equations with constant G, demanding a new foundation. We propose the Space-Matter Continuum (SMC): a unified field ΨA(X) whose dynamics give rise to emergent spacetime, gravity with Geff(ρ) ∝ ρ−0.5, resolution of dark matter and Hubble tension, and unification of all forces. The theory makes testable predictions from laboratory to cosmology.