Regular Simplex Hierarchical Gravity Part III Jamming Scale Law and Hierarch Energy Suppression

This paper presents a complete resolution of the cosmological constant problem within the Reg-ular Simplex Hierarchical Gravity (RSHG) framework. The non-tessellating property of regular tetrahedra in 3D Euclidean space—characterized by a geometric residual (deficit angle δ ≈ 7.36)—induces recursive jamming transitions across six hierarchical scales spanning from 10−15 m to 1021 m (Fig. 1: six-stage cascade structure). Each hierarchy generates approximately 20 orders of magni-tude of energy suppression. The cumulative suppression factor εtotal ≈ 10−122.2 agrees with theobserved cosmological constant Λobs within 0.2 orders of magnitude. Critically, this result contains no adjustable parameters; even the number of hierarchies N = 6 emerges as an arithmetic conse-quence of the target suppression (122 digits) divided by the single-stage suppression (∼ 19.2 digits). Furthermore, operation near the jamming criticality (φ ≈ 0.62, Fig. 2: metastable operating point)enables the conversion of computational heat into structural entropy (computational encapsulation),thereby preventing thermal collapse. Three experimentally verifiable predictions are presented: H4symmetry in the CMB angular power spectrum (l = 120n), an entropy ratio Sstruct/Sthermal ≈ 0.2in Bose-Einstein condensates, and tetrahedral coordinate preference in protein structures.