fission_transmutation_structure
plain-language theorem explainer
The theorem asserts existence of a nuclear configuration with vanishing J-cost. Researchers modeling Recognition Science transmutation pathways would cite it to guarantee a stable endpoint for cost descent. The proof is a direct term construction that supplies the stable configuration definition together with its zero-cost theorem as the witness pair.
Claim. There exists a nuclear configuration $cfg$ (a structure with positive real stability ratio $x$) such that its J-cost $J(x)$ equals zero.
background
The EN-006 module derives fission-product transmutation conditions from the J-cost barrier. NuclearConfig is the structure carrying a positive real ratio $x$, with $x=1$ marking a doubly-magic stable nucleus and $x≠1$ marking an unstable state. nuclearCost is the definition that returns the J-cost of this ratio via the upstream Jcost function.
proof idea
The proof is a term-mode construction that packages the stable_config definition (the ratio-1 instance) as the existential witness and the stable_config_zero_cost theorem (which reduces nuclearCost to Jcost_unit0) as the equality proof.
why it matters
The result supplies the zero-cost attractor required by the transmutation pathway theorems listed in the module documentation, confirming that cost-descent sequences terminate at a doubly-magic nucleus. It directly instantiates the stable_end_state_exists claim in the EN-006 derivation and closes the existence direction for optimal paths to J-cost zero.
Switch to Lean above to see the machine-checked source, dependencies, and usage graph.