Standard ΛCDM cosmology encounters two fundamental challenges: the large-scale power deficit at low multipoles (l < 30) in the Cosmic Microwave Background (CMB) and the physical nature of the Dark Matter abundance ratio (Ωc/Ωb ≈ 5.47). Here, we present a unified geometric solution within the Prime-Prime Lattice (PPL) framework. Building upon the Legendre interval encapsulation and Z2 parity anomaly, PPL space defines the universe as a multiplicative phasor field governed by prime factorization scales. First, macro-scale spatial geometry is truncated by the primorial horizon boundary Λn = Pn# and screened by the infrared (IR) fixed point attractor C2 ≈ 0.660162, naturally suppressing the quadrupole (l = 2) power to ≈ 245 μK² and octupole (l = 3) power to ≈ 693 μK², matching Planck 2018 observations without fine-tuning. Second, on intermediate scales, Minimal-Step Prime Pair (MSPP) deficient quadratic cavities In = (n², (n+1)²) induce phase dissipation into the open vacuum |∅⟩ = 1. Numerical scanning reinforced by OEIS empirical verification up to n = 10⁷ (OEIS A091592) identifies the localized deficient set S_def = {1, 9, 19, 26, 27, 30, 34, 39, 49, 53, 77, 122}. We prove that the total multiplicative phase-dissipation factor M_DM = ∏n∈S_def (1 + 1/n)² ≈ 8.51579 yields a strictly convergent physical dark matter energy E_DM = E0 ln M_DM ≈ 2.141931 E0 via logarithmic projection into physical energy space. Combined with visible base energy E_Vis = (ln(5/3))²/C2 ≈ 0.395271 E0, the resulting theoretical ratio E_DM/E_Vis ≈ 5.4189 agrees with Planck 2018 data within 0.92% error, proving that Dark Matter is the geometric residual of primordial phase dissipation.
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Shuichi Wada (2026) studied this question.
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