rg_derivation_of_central_potentials
plain-language theorem explainer
The theorem asserts that the derivation of central potentials follows once the central potential derivation hypothesis is granted. Researchers modeling potentials via the phi-ladder and J-cost minimization would cite it when linking to Recognition Geometry structures. The proof is a one-line term that succeeds because the hypothesis is defined as the proposition True.
Claim. If the hypothesis for the RG derivation of central potentials holds, then the derivation of central potentials is valid.
background
The Papers.DraftV1 module mirrors theorem statements from Draft_v1.tex, supplying explicit hypothesis interfaces for results that rely on external mathematics such as Alexander duality or Binet/Bertrand machinery. The referenced hypothesis CentralPotentialDerivationHypothesis is defined as the proposition True and stands as a placeholder for the paper proposition on RG Derivation of Central Potentials, pending formalization of Laplacian and Green's function arguments. Upstream structures include NucleosynthesisTiers (nuclear densities on phi-tiers), LedgerFactorization (calibration of J on the positive reals), PhiForcingDerived (J-cost structure), SpectralEmergence (SU(3) x SU(2) x U(1) gauge content and three generations), and UniversalForcingSelfReference (meta-realization axioms).
proof idea
The proof is a term-mode application of trivial. It succeeds immediately because the hypothesis is defined to be the proposition True; no lemmas from the depends_on list are invoked.
why it matters
This placeholder fills the paper proposition on RG Derivation of Central Potentials and connects to the Recognition Science forcing chain at T8 (D = 3 spatial dimensions) and the eight-tick octave. It would feed parent results on robustness of the D=3 signature, though no downstream uses are recorded. The open question it touches is the completion of perturbation theory and continuity arguments needed to derive central potentials from J-cost minimization and phi-forcing.
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