module module moderate

`IndisputableMonolith.RRF.Foundation.Gravity`

The RRF.Foundation.Gravity module introduces local ledger representations for gravitational phenomena within the Reality Recognition Framework. It defines ledger density at spatial points, derives strain and scalar curvature, and identifies gravity with ledger curvature. The module is imported by the core RRF Foundation to support its ledger bookkeeping layer. Content consists of sequential definitions plus one linking statement.

claimLet $L(x)$ denote ledger density at spatial point $x$. Define local strain from $L$ and scalar curvature from that strain; then gravitational effects equal the resulting ledger curvature.

background

This module belongs to the foundational layer of the Reality Recognition Framework. That layer rests on the MetaPrinciple as single foundational axiom, constants derived from φ, and double-entry ledger bookkeeping for conservation. It introduces the local ledger as density at each spatial point, from which strain and scalar curvature follow. The setting uses real numbers and basic analysis.

proof idea

this is a definition module, no proofs

why it matters in Recognition Science

The ledger, strain, and curvature constructions feed the parent RRF Foundation module. They supply the gravity-specific component that supports the overall MetaPrinciple and conservation structure described in the downstream doc-comment.

scope and limits

Does not derive Newtonian limit or field equations.
Does not address quantum corrections or black holes.
Does not compute explicit numerical values or simulations.

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 (22)

structure SpatialLedger L26
def vacuumLedger L37
def massiveLedger L45
def massFromSpatialLedger L55
theorem mass_nonneg L58
theorem vacuum_has_zero_mass L61
structure LocalStrain L66
def strainFromLedger L73
theorem vacuum_has_zero_strain L79
structure ScalarCurvature L87
def curvatureFromStrain L92
theorem gravity_is_ledger_curvature L97
def G_Newton L107
def newtonGravity L110
def ledgerGravity L113
theorem ledger_equals_newton L117
structure LedgerDeadlock L123
def schwarzschildRadius L132
structure InsideSchwarzschild L135
structure GravityLedgerCorrespondence L144
def gravity_ledger_consistent L154
theorem gravity_interpretation_valid L161