hierarchy_problem
plain-language theorem explainer
Recognition Science identifies the hierarchy problem as the large separation between the electroweak scale and the Planck scale. Particle physicists cite it when discussing naturalness. The proof is a trivial term assertion.
Claim. The electroweak vacuum expectation value $v$ satisfies $v << M_{Planck}$, which would require fine-tuning of order one part in $10^{34}$.
background
The module derives electroweak symmetry breaking from the J-cost functional, with the Higgs potential identified as J-cost and the VEV as its minimizing configuration. This rests on the phi-ladder, where scales occupy discrete rungs. Upstream results include the rung definition in NucleosynthesisTiers (assigning phi-powers to nuclear densities) and parallel rung defs in AsteroidOreSpectroscopy and Compat.Constants, plus LedgerFactorization.of for J calibration.
proof idea
The proof is a one-line term-mode wrapper that applies trivial.
why it matters
This declaration flags the hierarchy problem as a central puzzle that Recognition Science addresses via phi-ladder rungs separating v and M_Planck, consistent with the mass formula and T5-T8 forcing chain. The embedded comment notes that the exact exponent remains under investigation, leaving an open question on the precise phi-power match.
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