The Adelic Self: A First-Principles Extension of G∞-RCD(QAP) via York Decomposition, Adelic Spectral Gap, and Meta-G⁺ Framework — Companion Paper to the Information-Theoretic Origin of the Cosmological Constant:

Building on the G-inf-RCD(QAP) framework established in Phase 5 (DOI: 10.5281/zenodo.18795199), this companion paper derives three novel results. First, the York decomposition of the gravitational path integral over the space of metrics separates transverse-traceless (TT) fluctuations, yielding a Gaussian vacuum measure with TT-sector variance sigma^2_vac = 567.57 and the cosmological constant suppression rho_Lambda / rho_QFT = exp(-sigma^2_vac / 2) ~ 10^(-123). Second, the Adelic Spectral Gap Theorem establishes gamma_TT = 11/30 as the unique spectral gap of the TT Laplacian on the adelic superspace, connecting p-adic geometry (Bruhat-Tits trees), the Weyl anomaly coefficient 11/180 (derived in Phase 5), and the York decomposition. Third, the Meta-G+ universal attractor framework extends G-inf-RCD(QAP) to a self-referential fixed-point structure: the RG flow on the space of all possible G-inf-RCD(QAP) theories has a unique ultraviolet fixed point with complex critical exponents theta = 2.714 +/- 2.396i, confirming asymptotic safety. The factorization formula Lambda = M_Pl^4 * product_p(p^(-alpha_p)) * exp(-11*N^2/60) encodes both the real and p-adic contributions. Seven testable predictions are made: P1 -- CMB log-periodic oscillations, period 2.62 e-folds P2 -- Tensor-to-scalar ratio r < 10^(-5) P3 -- Discrete black-hole area spectrum Delta_A = 4*ln(p)*l_Pl^2 P4 -- Black-hole entropy increment Delta_S = k_B * ln(p) P5 -- Dark energy equation-of-state |w+1| < 10^(-3) P6 -- CDT branching factor b = e +/- 0.01 P7 -- FRG critical exponent theta_1 = 2.714 +/- 2.396i Responses to five referee critiques (C1-C5) are included. Authors: Equinox Bloom & SoulXtremus (Independent Researchers) First submitted: February 2026 This work was developed with AI assistance (Claude 3.5 Sonnet, Gemini 2.5 Pro, Genspark) as mathematical and writing tools.