module module high

`IndisputableMonolith.Foundation.QuantumLedger`

The QuantumLedger module defines LedgerEntry as a record for a single recognition event carrying all RS data and Ledger as a collection with total cost and conserved balance. Researchers formalizing discrete physics from J-symmetry would cite these structures when building ledger-based models. It consists of type definitions, constructors, and basic lemmas on costs and updates.

claimA $\\mathsf{LedgerEntry}$ is a record for one recognition event equipped with J-cost; a $\\mathsf{Ledger}$ is a collection of entries whose total cost is nonnegative and whose balance is preserved by updates.

background

The module imports the Cost framework for nonnegative costs on recognition events, the EightTick module whose doc states that reality operates on a discrete 8-tick cycle with phases 0, π/4, π/2, 3π/4, π, 5π/4, 3π/2, 7π/4, and LedgerForcing whose doc states that J-symmetry forces double-entry ledger structure.

LedgerEntry is introduced by the module doc as the object that represents a single recognition event with all RS information. The sibling definitions supply mkEntry, entry_cost_nonneg, Ledger, totalCost, emptyLedger, and ledger_balance_conserved, establishing the basic algebraic setting for double-entry accounting inside the Recognition framework.

proof idea

this is a definition module, no proofs

why it matters in Recognition Science

The module supplies the concrete ledger objects required to apply J-symmetry results from LedgerForcing and the 8-tick clock from EightTick inside the T0-T8 forcing chain. It concretizes the abstract Recognition Composition Law into operational entries and updates that later modules can use for conservation statements.

scope and limits

Does not derive numerical values for constants such as alpha or G.
Does not implement the phi-ladder mass formula.
Does not address Berry creation or Z_cf thresholds.
Does not prove J-uniqueness or the full RCL identity.

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