IndisputableMonolith.Recognition
The Recognition module supplies the minimal recognizer-to-recognized pairing that initiates the Recognition Science framework. Workers on the cost foundation and ledger models cite it as the entry point before J-uniqueness or phi-ladder constructions. The module consists entirely of definitions with no proofs or theorems.
claimA minimal pairing between a recognizer and the object it recognizes, written as recognizer → recognized.
background
Recognition Science derives all physics from one functional equation. This module opens the Recognition namespace by fixing the basic recognizer-recognized relation as the starting object. It is imported by eight downstream modules and precedes any mention of J-cost, defect distance, or the eight-tick octave.
proof idea
this is a definition module, no proofs
why it matters in Recognition Science
The module feeds Core.Recognition, Foundation.RecognitionForcing (which proves recognition is forced by the cost foundation), LedgerPostingAdjacency, LedgerUniqueness, Potential, Recognition.Cycle3, and RRF.Core.Recognition. It supplies the initial pairing required for the T0–T8 forcing chain and the Recognition Composition Law.
scope and limits
- Does not derive the J-function or its uniqueness.
- Does not introduce the phi fixed point or ladder.
- Does not contain ledger posting rules or adjacency theorems.
- Does not address physical constants or mass formulas.
- Does not include cycle constructions or Berry thresholds.
used by (8)
-
IndisputableMonolith.Core.Recognition -
IndisputableMonolith.Foundation.RecognitionForcing -
IndisputableMonolith.LedgerPostingAdjacency -
IndisputableMonolith.LedgerUniqueness -
IndisputableMonolith.Potential -
IndisputableMonolith.Recognition.Cycle3 -
IndisputableMonolith.Recognition.ModelingExamples -
IndisputableMonolith.RRF.Core.Recognition
declarations in this module (24)
-
abbrev
Nothing -
structure
Recognize -
def
MP -
theorem
mp_holds -
abbrev
NothingCannotRecognizeItself -
theorem
nothing_cannot_recognize_itself -
structure
RecognitionStructure -
structure
Chain -
def
head -
def
last -
structure
Ledger -
def
phi -
def
chainFlux -
class
Conserves -
lemma
chainFlux_zero_of_loop -
lemma
phi_zero_of_balanced -
lemma
chainFlux_zero_of_balanced -
class
AtomicTick -
theorem
T2_atomicity -
structure
U -
def
recog -
def
M -
def
L -
def
twoStep