The Fractal Multiverse (Version 120.0): A CPT-Symmetric Cosmology with Complete First-Principles Derivations of Gravity, Emergent Time, and the Origin of Mass

The Fractal Multiverse — Version 120.0 A comprehensive, first-principles cosmological framework in which our expanding 4D universe is the CPT-conjugate of a collapsing 5D parent universe. The theory is organized around seven interlocking pillars, each derived from a single five-dimensional Einstein–Gauss–Bonnet (EGB) action, and is deliberately overconstrained so that independent observations confront the same parameter set. The seven pillars: Pillar I — CPT Inflation. Inflation derived as the time-reversed image of the parent's exponential collapse, with explicit vertex matching conditions for gauge-invariant perturbations; no separate inflaton required. Pillar II — EGB Bounce. A proven non-singular bounce (Theorem 5.1) on the GR-connected branch of the cubic Friedmann constraint, with a fully worked EGB–AdS₅ realization. Strictly 5D: the framework does not rely on the Glavan–Lin 4D limit. Pillar III — Graviton Pair Production and Higgs Genesis. Parker-mechanism particle creation at the vertex; KK-graviton traversal of the CPT boundary as a contractive CPTP map seeds electroweak symmetry breaking. The 5D Dirac lifting yields the chiral projection rule; the downstream homochirality application is flagged as speculative. Pillar IV — Ancestral Gravity Field. Dark-matter phenomenology identified with the massive KK tower of the 5D graviton: Sturm–Liouville spectrum from a thick-brane EGB action, proven ghost freedom and luminal propagation (GW170817-safe by construction), positive causal Yukawa superposition, and native UV regularization via the brane overlap form factor. Pillar V — Λ-Damping. The CPT vertex as a noisy quantum channel; the data-processing inequality guarantees monotone decrease of the vacuum energy. The per-generation contraction ratio q is the vacuum-sector Kraus-operator overlap — dimensionless and generation-independent by construction — now evaluated in closed form as q = Π_k(1+|β_k|²)⁻¹ from the Gaussian-vertex Bogoliubov structure. The naïve identification of q with the absolute Parker production energy was tested and withdrawn in v115.5 and remains withdrawn. A thermal evaluation, ln(1/q) = g_*N_H/540, converts the required ~100-generation reduction of a Planck-scale vacuum energy by 10¹²³ into a quantitative prediction for vertex horizon occupation, N_H ≈ 306. Global state formalized via the Master Equation Ĥ[𝓔ⁿ_q(Ψ₀)] = 0. Pillar VI — Planckeon Conduit Network. The bulk ground state as a maximally dense foam of Planck-scale Einstein–Rosen bridges. Newton's constant derived from foam properties; the conduit scaling exponent α_c = 1/2 derived from the Gaussian brane form factor; the Radial Acceleration Relation and deep-MOND limit emerge with a_* = 1.37×10⁻¹⁰ m/s², within 14% (1σ) of the measured a₀, from shape-fitted SPARC parameters (Σ_* = 159 ± 9 M⊙/pc² across the full SPARC sample). Inertial mass is identified with total conduit throughput; emergent time is the collective flow of AGF pressure through active conduits from the timeless bulk into the temporal brane. Pillar VII — Gauge Fields from Conduit Throat Topology. U(1) from ℓ = 1 vector harmonics on the S² throat cross-section; charge quantization in units of e/3 from π₂(S²) winding. The exact ℓ = 1 boundary-value solution on the throat metric fixes the brane thickness at Δ ≈ 1.78 ℓ_P, superseding the earlier Gaussian-form-factor estimate of 2.64 ℓ_P, with 81% of the coupling carried by the near-threshold evanescent shoulder. SU(2) from S³ handles; SU(3) via triple junctions presented as a candidate mechanism rather than a derivation. New in v120.0 (relative to v115.5, the previous archived version): Versions 116.0–120.0 closed three of the outstanding calculations and recalibrated the throat geometry. Highlights: Exact throat transmission (closing the v115.5 outstanding item). The ℓ = 1 boundary-value problem is solved: transmission is the reciprocal of outward amplification, T = 1/A, and WKB is shown to underestimate exact transmission by a factor of 18.6 at Planck-scale throat geometry. The threshold is smooth at finite brane offset. Δ recalibrates from 2.64 to 1.775 ℓ_P and d from 15 to 9.8 ℓ_P. The Σ_* consistency chain is preserved exactly, because it depends only on the ratio d/Δ = 5.5. Two-brane EGB junction condition (honest negative result). A classical flat-direction theorem establishes κ_GB(classical) = 0: the repulsive core cannot be classical, and the flat-slab Casimir correction vanishes. The corrected one-loop repulsive core arises from warp-induced Robin boundary conditions, giving equilibrium scaling d_* ∝ α_GB k. The v115.5 Casimir-versus-Gauss–Bonnet equilibrium (d_* ≈ 6.6√κ_GB ℓ_P) is thereby superseded. The signed two-boundary Robin-coefficient sum remains open and carries an explicit falsification branch: a cancellation would invalidate the published text. Kraus overlap in closed form. Section 8.5.1 is rewritten as an explicit Bogoliubov / two-mode-squeezed derivation with the Stinespring dilation state disambiguated, yielding q = Π_k(1+|β_k|²)⁻¹. A new Appendix F writes out the mode sum in full (q = 0.9908 for g_* = 5, N_H = 1). Remark 8.2 partitions the result explicitly into derived, evaluated under flagged assumptions, and not claimed. Replacing the thermal ansatz with the exact EGB-bounce Bogoliubov spectrum remains outstanding. Precedent and positioning. Popławski's Einstein–Cartan torsion bounce is added as the nearest precedent in the literature and explicitly distinguished from the EGB mechanism used here. Bianconi's Gravity-from-Entropy framework is situated in the landscape section, with w(z) versus constant-Λ identified as a discriminating observable. The GW190521 wormhole-echo reinterpretation is included as landscape material only, with its authors' own disfavoring Bayes factor reported. Exposure stated rather than hedged. Ω_K ≈ −0.039 is stated as a live exposure against flat-leaning Planck+BAO. The wide-binary section is rebuilt around a pre-registered Gaia DR4 protocol with the detection threshold fixed ex ante. The GRB 221009A / Carpet LIV event is disclaimed in both directions. Remark 10.11 demotes the confinement scale ℓ_h to an undeclared input. 3I/ATLAS is retired and Titan downgraded. LVK gravitational-wave echo non-detections are retained as an explicit falsification axis, and a GW echo observational programme is set out in Section 11.2. Presentation. Version-control language is stripped from all section headings; this is the first version that reads as a paper rather than a changelog. Audit-table rows added for the Kraus overlap, Closure B, throat geometry, the κ_GB junction, and SPARC outputs. Two new figures generated directly from manuscript equations. Every result remains tagged as derived, consistency-constrained, or open. The manuscript maintains an audit table (Section 1.4) separating assumed inputs from derived outputs, and an outstanding-calculations list (Section 13.1) stating exactly what remains: the signed two-brane Robin-coefficient sum for κ̃_GB, the exact Bogoliubov spectrum for q, and the derivation of N_H from bounce causal structure. Fit reproducibility: SPARC rotation-curve fits use the public SPARC sample; low reduced χ² values (0.10–0.22) reflect the sample's conservatively estimated observational uncertainties rather than overfitting (no per-galaxy curve-fitting is performed; the kernel is universal). Comments and technical correspondence welcome: [email protected]