domainCost
plain-language theorem explainer
Domain cost scores a mass-to-energy ratio by the Recognition J-cost: J(m/e). Astrophysicists working the RS Chandrasekhar module cite it as the local cost functional on stellar mass scales. The body is a one-line definitional wrapper around the unique cost J forced by the Recognition Composition Law.
Claim. For real numbers $m$ and $e$, the domain cost is $J(m/e)$, where $J(x)=\frac{x+x^{-1}}{2}-1$ is the Recognition cost of a positive ratio.
background
Recognition Science measures mismatch of positive ratios by the J-cost $J(x)=\frac{x+x^{-1}}{2}-1$, equivalently $\cosh(\log x)-1$. Upstream modules (Cost, CoherenceCollapse, EnergyProcessingBridge, RefineTrigger, SpiralField) all expose the same functional; EnergyProcessingBridge records that it is the unique cost forced by the Recognition Composition Law (RCL). The forcing chain landmark T5 is exactly this uniqueness.
This file is Astrophysics RS Module 2. Its module header states the structural claim that the Chandrasekhar mass equals $\phi^{-1}\cdot 2.33,M_\odot=1.440,M_\odot$ exactly, with zero sorry and zero axiom. Domain cost is the local scoring map that feeds the module's threshold and certificate siblings.
proof idea
Pure definition: no proof obligations. The body applies the imported J-cost to the single ratio $m/e$. Downstream lemmas in the same module (nonnegativity, evaluation at equality) discharge analytic properties of this composite.
why it matters
Gives the Chandrasekhar module a named handle on mass-energy mismatch in RS-native units, so threshold comparisons sit on the same J that appears in T5 and the RCL. Sibling names (domainCost_nonneg, canonicalThreshold, RSAstro002Cert) show the intended use path: nonnegativity of the cost, a positive canonical threshold, and the module certificate that the $\phi^{-1}$ scaling of the solar-mass yardstick hits $1.440,M_\odot$ exactly. No external used_by edges are recorded yet; the declaration is infrastructure inside the structural Chandrasekhar theorem rather than a leaf result.
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