RecognitionOperator
plain-language theorem explainer
RecognitionOperator structures a dissipative evolution on ledger states that non-increases total recognition cost under the admissible predicate. Information-thermodynamics researchers deriving Landauer bounds from Recognition Science would cite this when closing 8-tick cycles. The declaration is a plain structure with two fields and no proof obligations.
Claim. A recognition operator consists of an evolution map $evolve : LedgerState → LedgerState$ such that for every admissible state $s$, $RecognitionCost(evolve(s)) ≤ RecognitionCost(s)$.
background
LedgerState is the minimal local ledger state carrying a finite set of active bonds with positive real multipliers; RecognitionCost sums the J-cost function over those bonds. The module anchors Recognition Science cost in thermodynamic entropy via the Landauer limit and 8-tick dissipation. Upstream LedgerState from VariationalDynamics supplies the conserved log-ratio charge preserved under evolution.
proof idea
Direct structure definition. The two fields evolve and minimizes_J are declared explicitly with no lemmas, tactics, or computational reduction.
why it matters
The structure supplies the operator type for the eight_tick_dissipation_limit theorem, which equates integrated cost over one 8-tick cycle to the Landauer erasure bound. It instantiates the eight-tick octave (T7) and the Recognition Composition Law in the information-thermodynamics setting.
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