Masses Mass Genesis Pattern Readout Equivalence Stable Load Readout Theory Reads

The readout theorem

In physics, inertial mass resists acceleration and gravitational mass responds to gravity. The equivalence principle says they are the same number. Recognition Science reaches that conclusion from a different direction: it proves that if both readouts are forced to report the same underlying source, equality is unavoidable, not an assumption.

The declaration stableLoadReadoutTheory_reads_restMass is a theorem in the framework's machine-checked library of formal theorems. It states that a stable, closed light pattern, a discrete record of events, has both its inertial and gravitational readouts equal to its rest mass. The proof works by showing both readouts are equal to the integrated meaning load, which is the total cost of the pattern. Since both readouts equal the same quantity, they equal each other.

The theorem does not define the two readouts to be equal. It constructs a bridge: a structure that records the proof obligations that each readout channel actually measures the same load. Once that bridge exists, equality follows by rewriting. The framework's library also proves a stronger identity: both readouts equal the rest mass, and if a separate prediction is closed, both equal that prediction too.

This is a formal result about a specific model. It does not claim that any physical object has equal inertial and gravitational mass. It proves that within the framework, if the readouts are single-source, they agree. The theorem is a piece of the Mass Genesis pattern, showing how the abstract equivalence principle can be instantiated at the pattern level.

theorem stableLoadReadoutTheory_reads_restMass
    (T : StableLoadReadoutTheory Λ)
    (ψ : LightPattern Λ)
    (hψ : StableClosedLightPattern ψ) :
    ReadsStablePatternLoad T.readout ψ :=
  pattern_single_source_reads_restMass
    (stableLoadReadoutTheory_to_singleSource T) ψ hψ

def stableLoadReadoutTheory_to_singleSource
    (T : StableLoadReadoutTheory Λ) :
    PatternSingleSourceMassTheory Λ where
  sourceMass := integratedMeaningLoad
  readout := T.readout
  inertial_from_source := T.inertial_reads_integrated_load
  gravitational_from_source := T.gravitational_reads_integrated_load
  stable_source_is_restMass := by
    intro ψ hψ
    exact (restMass_eq_integratedMeaningLoad_of_stable ψ hψ).symm

theorem stableLoadReadoutTheory_reads_restMass
    (T : StableLoadReadoutTheory Λ)
    (ψ : LightPattern Λ)
    (hψ : StableClosedLightPattern ψ) :
    ReadsStablePatternLoad T.readout ψ :=
  pattern_single_source_reads_restMass
    (stableLoadReadoutTheory_to_singleSource T) ψ hψ

What this page does not claim

No physical particle has been shown to satisfy the single-source condition. The theorem does not prove the equivalence principle in general physics. The framework does not define what a stable closed light pattern is in physical terms.

Verify this page

Every tagged claim above names its theorem. To check one yourself rather than trust this page, elaborate the source module with Lean 4 and audit its axiom basis:

$ lake env lean IndisputableMonolith/Masses/MassGenesis/PatternReadoutEquivalence.lean
expected axiom basis: [propext, Classical.choice, Quot.sound] (the Lean kernel's standard three; no RS-specific axioms)

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