fission_transmutation_structure
plain-language theorem explainer
Recognition Science proves existence of a nuclear configuration whose J-cost vanishes, corresponding to a doubly-magic stable nucleus. Engineers constructing transmutation cost-descent arguments cite this result to guarantee a zero-cost endpoint. The proof is a one-line term construction that directly supplies the stable configuration and its zero-cost theorem.
Claim. There exists a nuclear configuration whose J-cost equals zero.
background
NuclearConfig is a structure consisting of a positive real ratio x, with x = 1 denoting a perfectly stable doubly-magic nucleus and x ≠ 1 an unstable configuration. nuclearCost maps each configuration to its J-cost via the underlying Jcost function on the ratio. The module derives transmutation pathways as sequences of recognition events that reduce total J-cost, with doubly-magic nuclei acting as local minima at J-cost zero.
proof idea
The proof is a one-line term-mode wrapper that pairs the definition of stable_config with the theorem stable_config_zero_cost to witness the existential claim.
why it matters
This result anchors the EN-006 claim that every transmutation pathway has a stable endpoint by exhibiting the zero-cost attractor inside the J-cost barrier structure. It draws on the Recognition Composition Law and the phi-ladder to locate doubly-magic nuclei as J(x) = 0 minima. The module lists it among theorems establishing cost-monotone descent.
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