GOD Theory I: A Silent Asymmetry, an Infinite Manifold, and the Geometry that Contains All Known Physics

We present GOD Theory (Geometrically Oriented Density), a framework inwhich all known fundamental interactions emerge as projections of a single infinitedimensional self-similar fractal manifold M onto observable four-dimensional spacetime.The theory originates in a simple, long-overlooked observation: the diagonalof Maxwell’s equations is asymmetric, and that asymmetry is not a fundamentalaxiom—it is an incomplete projection. We show (Section 7) that the SkinnerTorrado algebra of M projected onto the observation subspace generates a projectionanomaly tensor with coefficient C(1) = 1/2, yielding div B = 1/2µ0ρmR, where R isthe Ricci scalar and C(1) is a prediction of the algebra, not a free parameter.The mathematical language of GOD consists of three new constructions: LieTorrado manifolds (fractal manifolds with Hausdorff dimension dH ∈ R>0), theSkinner-Torrado algebra (a fractal generalisation of Lie algebras whose generatorsare fractional differential operators of order dH), and Cauchy-Torrado sequences (aconvergence notion adapted to the infinite-dimensional fractal geometry of M).Seven exact results are established: (i) the curvature coefficient C(dH) = Γ(1 +dH)2/Γ(1 + 2dH) is exact on any self-similar fractal with Hausdorff measure, bythe Moran–Falconer theorem; (ii) C(n + 1)/C(n) = (n + 1)/[2(2n + 1)] → 1/4;1(iii) P∞n=1 C(n) = π/(3√3); (iv) P∞n=1 n C(n) = (2/3)(1+π/(3√3)); (v) Beta(d∗H, d∗H) = 2 defines the algebraic fixed point d ∗H ≈ 0.67782; (vi) the Galois-Torrado group ofS(M) is trivial; (vii) the Standard Model gauge groups U(1), SU(2), SU(3) emerge as isometry groups of S1, S2, CP2respectively, without postulation.We clearly distinguish exact results from physical hypotheses and open problemsthroughout. The companion paper [1] (Article 1b) provides the full mathematicaldevelopment of the Skinner-Torrado algebra.Keywords: fractal manifold, Hausdorff dimension, iterated function system, fractional differential operator, Skinner-Torrado algebra, gauge symmetry, dark matter,dark energy, unified field theory.MSC 2020: 28A80 (Fractals), 58B34, 17B99, 81T13.