stable_config
plain-language theorem explainer
The stable configuration is the nuclear state with ledger ratio exactly 1, representing doubly-magic nuclei that achieve zero J-cost. Researchers modeling optimal transmutation pathways would cite it as the terminal attractor in cost-descent sequences. It is introduced by direct construction using the unit ratio together with its positivity witness.
Claim. Define the stable nuclear configuration as the element of the structure with stability ratio $x=1$ and positivity witness $0<1$.
background
Nuclear configurations are elements of the structure NuclearConfig consisting of a positive real ratio together with a positivity witness; the value 1 corresponds to perfectly stable doubly-magic nuclei while other values represent unstable fission products. The J-cost, obtained from the cost definitions in MultiplicativeRecognizerL4 and ObserverForcing, measures defect from the ideal state x=1. The module derives transmutation as sequences of recognition events that reduce total J-cost, with doubly-magic nuclei serving as local minima where J-cost vanishes.
proof idea
Direct constructor application that instantiates NuclearConfig with the constant ratio 1 and the standard positivity fact for the real number 1.
why it matters
This definition supplies the zero-cost endpoint required by downstream results such as fission_transmutation_from_ledger, which asserts existence of a configuration with nuclearCost zero, and stable_end_state_exists, which constructs paths terminating at this state. It realizes the EN-006 claim that doubly-magic nuclei are J-cost attractors. The construction closes the scaffolding for cost-monotone descent theorems that rely on a concrete minimal element.
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