Vacuon Gravity: Emergent Fermions, Emergent Gauge Unification, and Parameter-Free CMB Predictions from a Bouncing Elastic Spacetime Lattice

Vacuon Gravity (VG) v6.2 models spacetime as a face-centred-cubic (FCC) elastic lattice with spacing ℓv = 2√(ln 2) ℓP ≈ 2.691 × 10−35 m, fixed by the Bekenstein–Hawking entropy condition. This version strengthens v6.1 (doi:10.5281/zenodo.20062403) with advances in geometry, baryogenesis, dark energy, and document architecture. Primary falsifiable predictions (unchanged from v6.1):ns = 1 − α² ≈ 0.9711 | r/nT = −0.055 (vs −8 for inflation) | ηB = 5.88 × 10−10New prediction: ηL = 0 (no leptogenesis), testable via neutrinoless double-beta decay. New in v6.2 relative to v6.1: Geometry (A9, Tier C→A): Roe C*-algebra for the z=12 regular random graph gives ind(DVG) = 0 via coarse invariance (Tier A). Spectral scan of 8000 k-points: ΔEFT ≥ 0.40, no accidental near-zero modes, MR ≥ 3.4 × 1017 GeV (Tier A*). Baryogenesis (A31b, A32b, Tier B chain): Qℤ₂ = B mod 2 promoted to Tier A* via exact Abelian AB theorem (character factorisation: χq1·χq2 = χq1+q2, algebraic). nf = 10/13 dominant-balance derivation consolidated at Tier B; near-core energy integrability is proved (exponent −11/13 > −1 for all m > 0). Overall ηB chain: Tier B. New prediction: ηL = 0 (no leptogenesis, Tier B*). Dark energy (appD, DESI DR2 March 2025): VG predicts w0 = −1.027 (phantom regime); DESI DR2 prefers w0 > −1 (quintessence). 2D tension 3.2–4.9σ depending on supernovae dataset (correlation r = −0.90). Modular structure: a dark energy falsification would leave the GR, CMB, and baryogenesis sectors unaffected. NEC stability of phantom w0 < −1: Tier C open. Document architecture: 75 appendix files reorganised into 9 thematic collector files (≤ 100 lines each); no source file exceeds 1000 lines. Cross-references and phantom-label stubs unchanged. Honest tier corrections: βs = 0 within constant-α approximation (not exact); fNLequil = O(−1) downgraded to Tier C (bispectrum not computed); Wilson factorisation confirmed Tier B (numerical bound at κ = 189.6, not analytic); nf = 10/13 confirmed Tier B dominant balance (Frobenius analysis of nonlinear ODE = Tier C open). Tier summary v6.2: A = 77, A* = 24, B = 41, B* = 8, C = 0, D = 10 (v6.1: A = 76, A* = 19, B = 41, B* = 6, C = 0, D = 10).Tier counts are qualitative epistemic bookkeeping, not statistical confidence measures. Version history:v1.0: doi:10.5281/zenodo.19210532 | v2.0: doi:10.5281/zenodo.19376008 | v3.0: doi:10.5281/zenodo.19506878 | v4.1: doi:10.5281/zenodo.19630576 | v5.2: doi:10.5281/zenodo.19923398 | v6.1: doi:10.5281/zenodo.20062403