The Fractal Multiverse (Version 107.0): A CPT-Symmetric Cosmology with Complete First-Principles Derivations of Gravity, Emergent Time, and the Origin of Mass

Version 107.0 of the Fractal Multiverse theory. This update represents a structural maturation from phenomenological postulation to a first-principles derivation of the gauge sector and microscopic gravity. The theory is now organized around seven interlocking pillars derived from a single 5D Einstein-Gauss-Bonnet (EGB) action. Key Advancements in v107.0: Pillar VII (Gauge Fields from Throat Topology): Formally derives the Standard Model gauge groups (SU(3) × SU(2) × U(1)) from the internal topology of planckeon conduit throats (junctions, handles, and S^2 cross-sections). The Fine Structure Constant (αEM): Derives αEM ≈ 1/137 from the Gaussian brane form factor at a thickness of Δ ≈ 2.64 _P, creating a quadruple-overconstrained link with the AGF and MCMC results. Conduit Equivalence Principle: Establishes the identity m(x) · G_N = Φcond({T^μ}_μ), identifying mass as conduit throughput, time as collective flow, and gravity as conduit statistics. Microscopic MCMC Validation: Reports successful MCMC fits of the conduit-scaled AGF kernel to the SPARC dataset, recovering a universal characteristic surface density Σ_ = 159 ± 9 \ M_ pc⁻²* with the scaling exponent α_c = 1/2 derived strictly from brane geometry. Generational Triple Coincidence: Identifies a calculable geometric threshold where vacuum energy, brane thickness, and dark-matter range simultaneously reach "habitable" values, restricting biological life to late-generation universes (n ≈ 100). Standard Model Refinements: Predicts the absence of magnetic monopoles (π_1(S^2)=0) and derives the fermion generation count (Ngen=3) from triple-junction topology.