ledgerConservationRatio
plain-language theorem explainer
Ledger conservation ratio is defined as the sum of the first two negative powers of the golden ratio. Economists modeling double-entry bookkeeping within Recognition Science cite this definition when grounding ledger rules in the octave forcing chain. The implementation is a direct real-number term using phi, with the equality to one established in a separate theorem via algebraic simplification.
Claim. The ledger conservation ratio is defined as $1/phi + 1/phi^2$.
background
Recognition Science places economic models on the octave structure. The upstream Octave is defined as 'a state space with strain and observation channels' and serves as the abstract foundation before physical constants such as phi are layered on top. In the LedgerEconomics module the ratio is expressed directly in terms of phi drawn from the constants import, linking to economic phases and the business cycle period that inherit the eight-tick periodicity.
proof idea
The declaration is a definition that directly assigns the term 1/phi + 1/phi^2. No lemmas or tactics are applied inside the definition itself.
why it matters
This definition supplies the ratio proved equal to one in ledgerConservation_eq_one, which forces the double-entry ledger structure. It realizes the economic reading of the eight-tick octave (T7) from the T0-T8 forcing chain. The result closes the conservation identity for ledger models with no remaining scaffolding.
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