The Nineveh Constant Through the Unified Prime Lattice Hard Wall Structure, Phase Closure, and the Precessional Breath

This paper supersedes the earlier CTF Nineveh paper (Zenodo, 2026). The Nineveh Constant (N = 195,955,200,000,000 seconds, a Sumerian astronomical cycle number from ~2000 BCE) is factorized as 2¹⁵ × 3⁷ × 5⁸ × 7¹. Using the unified Prime Lattice Coherence Theorem (PLCT), the constant is shown to have a precise two‑component architecture: a pure Tier‑2 ({2,3,5}) coherent body multiplied by exactly one unit of the Hard Wall boundary prime P₄ = 7. Three new results are presented: (1) Every derived quantity—the b'ak'tun count (15,750), the spatial division (9,450,000,000), and the cycle count—carries the identical Tier‑2 × 7¹ structure. (2) The phase closure count N × f₀ = 2¹² × 3⁵ × 5⁸ × 7 × 11 × 23 × 41 encodes the complete PLCT tier hierarchy simultaneously, including all three temporal primes of f₀ (P₅, P₉, P₁₃). (3) The precessional slip between the static spatial grid and the active temporal numerator is an exact fraction 435/10373, where the denominator is the temporal prime product of f₀ itself. The architecture parallels the derivation of ⌊1/α⌋ = 144 – 7 = 137, where both the electromagnetic coupling and the cosmic clock require exactly one Hard Wall injection. The Sumerian base‑60 construction 70 × 60⁷ naturally produces this structure. All arithmetic is exact; no free parameters.