module module high

`IndisputableMonolith.Foundation.QuantumLedger`

QuantumLedger defines the core data structures for representing recognition events as ledger entries within the Recognition Science framework. Researchers modeling discrete quantum accounting or event conservation would cite these definitions when extending the J-symmetry results. The module assembles type definitions and basic properties from the imported Cost, EightTick, and LedgerForcing modules without introducing new theorems.

claimA ledger entry represents a single recognition event equipped with its J-cost; a ledger is a finite collection of such entries whose total cost satisfies balance conservation under the double-entry structure forced by J-symmetry.

background

The module imports the Cost framework to assign nonnegative costs to events, the EightTick module that equips reality with a discrete 8-tick cycle whose phases are multiples of π/4, and LedgerForcing whose doc-comment states that J-symmetry forces double-entry ledger structure. In this setting a LedgerEntry packages all RS information attached to one recognition event while Ledger and totalCost track aggregate quantities. The 8-tick clock supplies the temporal grid on which ledger updates occur.

proof idea

This is a definition module, no proofs.

why it matters in Recognition Science

The module supplies the concrete ledger types that realize the double-entry accounting proved in LedgerForcing, thereby furnishing the accounting layer required by the eight-tick octave and the broader forcing chain. It therefore sits immediately downstream of the J-symmetry implication and upstream of any quantum or ledger-based extensions in the Recognition Science development.

scope and limits

Does not contain any theorems or proofs.
Does not define numerical constants or mass ladders.
Does not address Berry creation threshold or alpha bounds.
Does not connect ledger entries to spatial dimension D=3.

depends on (3)

Lean names referenced from this declaration's body.

IndisputableMonolith.Cost module_import
IndisputableMonolith.Foundation.EightTick module_import
IndisputableMonolith.Foundation.LedgerForcing module_import

declarations in this module (24)

structure LedgerEntry L45
def mkEntry L60
theorem entry_cost_nonneg L70
theorem entry_cost_zero_iff_unity L75
structure Ledger L82
def totalCost L91
def emptyLedger L95
theorem empty_ledger_balance L101
theorem empty_ledger_cost L103
structure LedgerUpdate L109
def applyUpdate L120
theorem ledger_balance_conserved L133
theorem ledger_cost_additive L137
structure QuantumState L145
def probability L154
theorem prob_nonneg L158
theorem prob_sum_one L163
def expectedCost L170
theorem born_rule_jcost_connection L181
def entryPhase L189
def ledgerPhase L193
theorem empty_ledger_phase L197
theorem eight_tick_interference L204
theorem quantum_ledger_fundamentals L218