module module high

`IndisputableMonolith.RRF.Foundation.Ledger`

The Ledger module supplies the double-entry bookkeeping primitives for the Reality Recognition Framework. It defines Transaction as a balanced debit-credit pair and Ledger as a list of transactions equipped with net-balance and concatenation operations that enforce conservation. Researchers constructing the RRF foundational layer cite it for the bookkeeping infrastructure. The module contains only definitions and no proofs.

claimA transaction is a pair of real numbers $(d, c)$ with $d = c$. A ledger is a finite list of transactions. The module supplies the empty ledger, singleton construction, concatenation, and a net-balance function that returns zero on any balanced ledger.

background

The Reality Recognition Framework foundational layer rests on a single MetaPrinciple axiom and derives physical constants from the golden ratio φ. This submodule supplies the Ledger component for double-entry bookkeeping and conservation, as described in the parent module documentation: 'The foundational layer of the Reality Recognition Framework. This module contains: MetaPrinciple, Constants, Ledger: Double-entry bookkeeping and conservation.'

proof idea

This is a definition module, no proofs.

why it matters in Recognition Science

The module feeds the parent IndisputableMonolith.RRF.Foundation, which assembles the MetaPrinciple axiom, φ-derived constants, and the Ledger for conservation. It supplies the concrete bookkeeping structures required to express conservation inside the RRF.

scope and limits

Does not derive physical constants or the MetaPrinciple axiom.
Does not prove any dynamical laws or field equations.
Does not connect to the phi-ladder or J-cost function.
Does not perform numerical evaluation or simulation.

used by (1)

From the project-wide theorem graph. These declarations reference this one in their body.

IndisputableMonolith.RRF.Foundation module_import

declarations in this module (24)

structure Transaction L29
def fromAmount L40
def zero L47
def add L50
theorem add_balanced L59
structure Ledger L67
def empty L80
def singleton L88
def append L96
def net L107
theorem net_zero L110
def concat L113
theorem concat_preserves_balance L123
structure ConservationLaw L131
def trivial L142
inductive ParticlePair L158
def particleCharge L160
structure LedgerDensity L169
def massFromLedger L176
def curvatureFromLedger L180
structure DoubleEntry L186
theorem double_entry_exists L193
structure LedgerAlgebra L201
theorem ledger_algebra_consistent L214