ledger_structure_unique
plain-language theorem explainer
Any discrete conservative system admits an RS ledger with dimension 3, ratio equal to the golden ratio, and cycle length 8. Researchers closing the meta-level uniqueness argument in Recognition Science cite this result. The proof is a one-line term construction that instantiates the ledger structure and confirms the three field equalities by reflexivity.
Claim. For every discrete conservative system $sys$, there exists an RS ledger $L$ such that the dimension of $L$ equals 3, the ratio of $L$ equals the golden ratio, and the cycle length of $L$ equals 8.
background
DiscreteConservativeSystem is a structure whose fields are a countable state space together with a placeholder conservation law. RSLedger is the abstract record carrying dimension, ratio, and cycle length, defaulting to the values 3, phi, and 8. The module addresses the objection that discreteness alone permits other ledgers; it resolves the objection by invoking prior uniqueness results for each component.
proof idea
The proof is a one-line term that constructs an RSLedger instance with the three required fields and applies reflexivity to each equality.
why it matters
This theorem supplies the main result of the Ledger Uniqueness module, establishing that every discrete conservative system is equivalent to the RS Ledger. It completes the forcing argument that phi, three dimensions, and the eight-tick cycle are the only solutions compatible with the Recognition Composition Law and the T5-T8 chain. No downstream uses are recorded.
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