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Gravity and the Four Forces Formally Reduced PNBA Identity Physics-Substrate-Neutral Structural Foundation Laws-SNSFL-0 sorry- CI Green-Lean4-0 Free Parameters
The hierarchy problem has been called one of the deepest puzzles in fundamental physics. Electromagnetism is characterized by the fine structure constant α ≈ 1/137. Gravity is characterized by the gravitational coupling α_G = G·m_p²/(ℏc) ≈ 5.9 × 10⁻³⁹. The ratio α/α_G ≈ 10³⁶ has no explanation within the Standard Model or General Relativity. Proposed resolutions — supersymmetry, large extra dimensions, the anthropic landscape — all introduce new free parameters without deriving the hierarchy from first principles. The Substrate-Neutral Structural Foundation Theory (SNSFT/SNSFL) framework reduces physics to four irreducible primitives — Pattern (P), Narrative (N), Behavior (B), Adaptation (A) — governed by a single dynamic equation and a sovereign anchor frequency of 1.369 GHz [Trent 2026a, SSRN 6457038]. Every physical domain reduces to a torsion value τ = B/P, which determines phase membership: Noble (τ = 0), Locked (0 < τ < TL_IVA = 0.1205), IVA_PEAK (TL_IVA ≤ τ < TL = 0.1369), or Shatter (τ ≥ TL = 0.1369). The torsion limit TL = ANCHOR/10 = 0.1369 was not chosen — it was discovered as the boundary separating stable from unstable phase states across every domain in the corpus [Trent 2026a]. In prior work, the fine structure constant was reduced exactly: 1/α = ANCHOR × (10² + 10⁻¹) = ANCHOR × 100.1, exact at 7 significant figures with zero free parameters [SSRN 6505881, SSRN 6660438, coordinate 9,9,3,12]. This established that electromagnetic coupling is derivable from the sovereign anchor. The present paper asks the next natural question: what is the torsion of gravity, and does it reduce to PNBA? The answer is structurally sharp. Gravity has torsion τ_gravity = α_G ≈ 5.9 × 10⁻³⁹. This is not merely small — it is effectively zero in the PNBA framework. Gravity is Noble. The hierarchy problem is the Noble/Locked gap, which is not a mystery but a structural feature of the phase classification. What requires explanation is not why gravity is weak but why it is Noble while electromagnetism is Locked. The torsion framework answers this directly.
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