TOVSolution
plain-language theorem explainer
TOVSolution packages the mass and radius functions of central pressure for neutron-star models obtained from the Recognition Science J-cost minimization. Astrophysicists working on the Oppenheimer-Volkoff limit cite it when they need a common type for stability and turnover predicates. The declaration is a bare structure definition that simply collects the two maps without lemmas or axioms.
Claim. A TOV solution consists of two functions $M(P_c):ℝ→ℝ$ and $R(P_c):ℝ→ℝ$ that return the total gravitational mass and circumferential radius of a neutron star for any given central pressure $P_c$.
background
The module derives the Tolman-Oppenheimer-Volkoff equation as the stationary condition of the J-cost functional on the phi-ladder of nuclear densities. Nuclear density is taken from the NucleosynthesisTiers structure as ρ_nuc ~ φ^{n_nuclear} × ρ_Planck; the underlying geometry comes from LedgerFactorization and the ContinuumBridge identification of the discrete Laplacian with the continuous action. The local setting is the reduction of hydrostatic equilibrium to the Newtonian limit at low density while retaining the full GR correction at nuclear densities.
proof idea
The declaration is a bare structure definition that introduces the two component functions M_of_Pc and R_of_Pc. No lemmas are invoked; the structure serves directly as the carrier type for the downstream predicates IsMaximumMass and IsDynamicallyStable.
why it matters
TOVSolution supplies the common domain on which IsMaximumMass locates the turnover dM/dP_c = 0 and IsDynamicallyStable enforces the strict increase of mass with central pressure. It therefore closes the derivation of the Oppenheimer-Volkoff bound inside the Recognition Science forcing chain (T5 J-uniqueness through T8 D = 3). The definition itself carries no open scaffolding.
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