@@ -93,6 +93,25 @@ Emission()(G, 0)
9393print (f " EPI after emission: { G.nodes[0 ][' EPI' ]:.3f } " ) # > 0
9494```
9595
96+ ### Anti-Patterns
97+ ``` python
98+ # ✗ WRONG: Using Emission in middle of sequence without purpose
99+ [Emission, Coherence, Emission, Coherence, Silence] # Redundant second emission
100+
101+ # ✓ CORRECT: Single emission to initialize
102+ [Emission, Coherence, Silence]
103+ ```
104+
105+ ### Relationships
106+ - ** Can precede** : All operators (generator role)
107+ - ** Should follow** : Nothing (starts sequences from vacuum/dormant state)
108+ - ** Often followed by** : Coherence (IL) to stabilize new structure
109+
110+ ### Test References
111+ - ` tests/unit/operators/test_emission_irreversibility.py ` - Structural irreversibility
112+ - ` tests/unit/operators/test_emission_metrics.py ` - EPI and νf validation
113+ - ` tests/unit/operators/test_emission_preconditions.py ` - Precondition enforcement
114+
96115---
97116
98117## 2. Reception (EN) 📡
@@ -143,6 +162,27 @@ Reception()(G, 0) # Node 0 receives from node 1
143162print (f " EPI after reception: { G.nodes[0 ][' EPI' ]:.3f } " )
144163```
145164
165+ ### Anti-Patterns
166+ ``` python
167+ # ✗ WRONG: Reception without coupling (no network connectivity)
168+ G = nx.Graph()
169+ G.add_node(0 , EPI = 0.5 , vf = 1.0 , theta = 0.0 , dnfr = 0.0 )
170+ Reception()(G, 0 ) # No neighbors - violates precondition
171+
172+ # ✓ CORRECT: Couple first, then receive
173+ Coupling()(G, 0 , 1 )
174+ Reception()(G, 0 )
175+ ```
176+
177+ ### Relationships
178+ - ** Must precede** : Coupling (UM) or existing network connectivity
179+ - ** Can follow** : Any operator that establishes network structure
180+ - ** Often follows** : Coupling (UM) to receive from newly coupled nodes
181+
182+ ### Test References
183+ - ` tests/unit/operators/test_reception_preconditions.py ` - Network connectivity validation
184+ - ` tests/unit/operators/test_reception_sources.py ` - Source integration correctness
185+
146186---
147187
148188## 3. Coherence (IL) 🔒
@@ -190,6 +230,30 @@ Coherence()(G, 0)
190230print (f " ΔNFR after coherence: { G.nodes[0 ][' dnfr' ]:.3f } " ) # Reduced
191231```
192232
233+ ### Anti-Patterns
234+ ``` python
235+ # ✗ WRONG: Coherence without stabilization target
236+ [Emission, Coherence, Coherence, Coherence] # Redundant, no new structure to stabilize
237+
238+ # ✗ WRONG: Coherence on EPI=0 node
239+ G.add_node(0 , EPI = 0.0 , vf = 1.0 , theta = 0.0 , dnfr = 0.0 )
240+ Coherence()(G, 0 ) # Violates precondition: EPI > 0
241+
242+ # ✓ CORRECT: Coherence after structure creation/destabilization
243+ [Emission, Dissonance, Coherence, Silence] # Stabilizes after destabilization
244+ ```
245+
246+ ### Relationships
247+ - ** Must precede** : Any operator that requires stable base (especially ZHIR)
248+ - ** Should follow** : Destabilizers (OZ, VAL, ZHIR) per U2
249+ - ** Can follow** : Any operator that modifies structure
250+
251+ ### Test References
252+ - ` tests/unit/operators/test_coherence_dnfr_reduction.py ` - ΔNFR reduction validation
253+ - ` tests/unit/operators/test_coherence_preconditions.py ` - EPI > 0 requirement
254+ - ` tests/unit/operators/test_coherence_ct_tracking.py ` - C(t) monotonicity
255+ - ` tests/unit/operators/test_coherence_phase_locking.py ` - Phase stabilization
256+
193257---
194258
195259## 4. Dissonance (OZ) ⚡
@@ -245,6 +309,28 @@ for op in sequence:
245309 op(G, 0 )
246310```
247311
312+ ### Anti-Patterns
313+ ``` python
314+ # ✗ WRONG: Dissonance without stabilizer (violates U2)
315+ [Emission, Dissonance, Silence] # Missing Coherence/THOL
316+
317+ # ✗ WRONG: Multiple dissonances without handlers (violates U4a)
318+ [Emission, Dissonance, Dissonance, Silence] # No handlers between
319+
320+ # ✓ CORRECT: Dissonance with proper stabilization
321+ [Emission, Coherence, Dissonance, Coherence, Silence]
322+ ```
323+
324+ ### Relationships
325+ - ** Must follow** : Stabilizers (IL, THOL) in sequence per U2
326+ - ** Often precedes** : ZHIR (Mutation) - creates context for transformation
327+ - ** Can close** : Sequences (U1b role)
328+
329+ ### Test References
330+ - ` tests/unit/operators/test_dissonance_preconditions.py ` - EPI threshold validation
331+ - ` tests/unit/operators/test_destabilizer_telemetry.py ` - ΔNFR increase tracking
332+ - ` tests/unit/operators/test_graduated_destabilizer_windows.py ` - U2 compliance
333+
248334---
249335
250336## 5. Coupling (UM) 🔗
@@ -299,6 +385,27 @@ Coupling()(G, 0, 1)
299385print (f " Nodes coupled: { G.has_edge(0 , 1 )} " ) # True
300386```
301387
388+ ### Anti-Patterns
389+ ``` python
390+ # ✗ WRONG: Coupling without phase verification (violates U3)
391+ G.add_node(0 , EPI = 0.5 , vf = 1.0 , theta = 0.0 , dnfr = 0.0 )
392+ G.add_node(1 , EPI = 0.6 , vf = 1.0 , theta = np.pi, dnfr = 0.0 ) # Antiphase!
393+ Coupling()(G, 0 , 1 ) # Should fail - destructive interference
394+
395+ # ✓ CORRECT: Phase verification before coupling
396+ validate_resonant_coupling(G, 0 , 1 ) # Explicit check
397+ Coupling()(G, 0 , 1 )
398+ ```
399+
400+ ### Relationships
401+ - ** Requires** : Phase verification (U3) via ` validate_resonant_coupling() `
402+ - ** Often precedes** : Reception (EN), Resonance (RA)
403+ - ** Enables** : Network information flow
404+
405+ ### Test References
406+ - ` tests/unit/operators/test_coupling_preconditions.py ` - Phase compatibility validation
407+ - ` tests/unit/operators/test_coupling_metrics.py ` - Edge creation verification
408+
302409---
303410
304411## 6. Resonance (RA) 🌊
@@ -347,6 +454,33 @@ Resonance()(G, 0, 1) # Then resonate
347454print (" Pattern propagated through resonance" )
348455```
349456
457+ ### Anti-Patterns
458+ ``` python
459+ # ✗ WRONG: Resonance without coupling (no edges)
460+ G = nx.Graph()
461+ G.add_node(0 , EPI = 0.5 , vf = 1.0 , theta = 0.0 , dnfr = 0.0 )
462+ G.add_node(1 , EPI = 0.6 , vf = 1.0 , theta = 0.1 , dnfr = 0.0 )
463+ Resonance()(G, 0 , 1 ) # No edge exists - violates precondition
464+
465+ # ✗ WRONG: Resonance with incompatible phases (violates U3)
466+ G.add_node(2 , EPI = 0.5 , vf = 1.0 , theta = np.pi, dnfr = 0.0 ) # Antiphase
467+ G.add_edge(0 , 2 )
468+ Resonance()(G, 0 , 2 ) # Destructive interference
469+
470+ # ✓ CORRECT: Couple first, verify phases, then resonate
471+ Coupling()(G, 0 , 1 ) # Creates edge with phase check
472+ Resonance()(G, 0 , 1 ) # Amplifies
473+ ```
474+
475+ ### Relationships
476+ - ** Requires** : Existing coupling (edges) and phase compatibility (U3)
477+ - ** Often follows** : Coupling (UM)
478+ - ** Effect** : Amplifies coherent patterns without altering identity
479+
480+ ### Test References
481+ - ` tests/integration/test_coherence_operator_integration.py ` - Propagation validation
482+ - Phase verification enforced by grammar system
483+
350484---
351485
352486## 7. Silence (SHA) 🔇
@@ -393,6 +527,30 @@ Silence()(G, 0) # Freeze state
393527print (f " νf after silence: { G.nodes[0 ][' vf' ]:.3f } " ) # ≈ 0
394528```
395529
530+ ### Anti-Patterns
531+ ``` python
532+ # ✗ WRONG: Silence in middle without reactivation
533+ [Emission, Silence, Coherence] # Node frozen, can't apply Coherence
534+
535+ # ✗ WRONG: Silence without prior stabilization
536+ [Emission, Dissonance, Silence] # Freezing unstable state
537+
538+ # ✓ CORRECT: Silence as final closure after stabilization
539+ [Emission, Coherence, Silence]
540+
541+ # ✓ CORRECT: Reactivation after silence
542+ [Emission, Silence, Emission, Coherence, Silence] # Reactivate with AL
543+ ```
544+
545+ ### Relationships
546+ - ** Closes** : Sequences (U1b role)
547+ - ** Should follow** : Stabilization (IL, THOL)
548+ - ** Reactivation** : Requires generator (AL, NAV, REMESH)
549+
550+ ### Test References
551+ - Latency/reactivation tested in emission tests
552+ - νf → 0 enforced by operator implementation
553+
396554---
397555
398556## 8. Expansion (VAL) 📈
@@ -437,6 +595,27 @@ sequence = [
437595]
438596```
439597
598+ ### Anti-Patterns
599+ ``` python
600+ # ✗ WRONG: Expansion without stabilizer (violates U2)
601+ [Emission, Expansion, Silence] # Missing IL/THOL
602+
603+ # ✗ WRONG: Multiple expansions without stabilization
604+ [Emission, Expansion, Expansion, Silence] # Unbounded growth
605+
606+ # ✓ CORRECT: Each expansion balanced
607+ [Emission, Expansion, Coherence, Expansion, Coherence, Silence]
608+ ```
609+
610+ ### Relationships
611+ - ** Requires** : Stabilizer (IL, THOL) per U2
612+ - ** Often follows** : Emission or Reception (adding capacity)
613+ - ** Inverse** : Contraction (NUL) reduces complexity
614+
615+ ### Test References
616+ - ` tests/unit/operators/test_destabilizer_telemetry.py ` - ΔNFR increase validation
617+ - ` tests/unit/operators/test_graduated_destabilizer_windows.py ` - U2 compliance
618+
440619---
441620
442621## 9. Contraction (NUL) 📉
@@ -479,6 +658,29 @@ sequence = [
479658]
480659```
481660
661+ ### Anti-Patterns
662+ ``` python
663+ # ✗ WRONG: Contraction on low-dimensional EPI
664+ G.add_node(0 , EPI = 0.5 , vf = 1.0 , theta = 0.0 , dnfr = 0.0 ) # Scalar EPI
665+ Contraction()(G, 0 ) # Cannot reduce below dim=1
666+
667+ # ✗ WRONG: Excessive contraction losing information
668+ [Emission, Expansion, Contraction, Contraction, Contraction] # Over-simplification
669+
670+ # ✓ CORRECT: Balanced complexity management
671+ [Emission, Expansion, Contraction, Coherence, Silence]
672+ ```
673+
674+ ### Relationships
675+ - ** Inverse** : Expansion (VAL) - manages complexity bidirectionally
676+ - ** Not a destabilizer** : Reduces complexity without requiring stabilizers
677+ - ** Often follows** : Expansion or complex transformations
678+
679+ ### Test References
680+ - ` tests/unit/operators/test_contraction.py ` - Dimensionality reduction
681+ - ` tests/unit/operators/test_contraction_preconditions.py ` - dim(EPI) > 1 validation
682+ - ` tests/unit/operators/test_contraction_density_metrics.py ` - Coherence preservation
683+
482684---
483685
484686## 10. Self-organization (THOL) 🌱
@@ -531,6 +733,29 @@ sequence = [
531733]
532734```
533735
736+ ### Anti-Patterns
737+ ``` python
738+ # ✗ WRONG: THOL without recent destabilizer (violates U4b)
739+ [Emission, Coherence, SelfOrganization(), Silence] # No OZ/VAL/ZHIR within ~3 ops
740+
741+ # ✗ WRONG: THOL without follow-up stabilization
742+ [Emission, Dissonance, SelfOrganization, Silence] # Should add IL after
743+
744+ # ✓ CORRECT: THOL with proper context
745+ [Emission, Coherence, Dissonance, SelfOrganization, Coherence, Silence]
746+ # ^recent destabilizer ^transformer ^stabilizer
747+ ```
748+
749+ ### Relationships
750+ - ** Requires** : Recent destabilizer (~ 3 ops) per U4b
751+ - ** Handles** : Bifurcations from OZ, VAL
752+ - ** Creates** : Sub-EPIs (fractal structure)
753+ - ** Stabilizes** : System after transformation (U2 role)
754+
755+ ### Test References
756+ - ` tests/unit/operators/test_thol_coherence.py ` - Fractal organization validation
757+ - ` tests/unit/operators/test_controlled_bifurcation.py ` - U4a handler role
758+
534759---
535760
536761## 11. Mutation (ZHIR) 🧬
@@ -584,6 +809,31 @@ sequence = [
584809]
585810```
586811
812+ ### Anti-Patterns
813+ ``` python
814+ # ✗ WRONG: ZHIR without prior Coherence (violates U4b)
815+ [Emission, Dissonance, Mutation, Coherence, Silence] # No IL before OZ
816+
817+ # ✗ WRONG: ZHIR without recent destabilizer (violates U4b)
818+ [Emission, Coherence, Mutation, Silence] # No OZ/VAL within ~3 ops
819+
820+ # ✗ WRONG: ZHIR without handler (violates U4a)
821+ [Emission, Coherence, Dissonance, Mutation, Silence] # Missing IL/THOL after
822+
823+ # ✓ CORRECT: All U4b requirements met
824+ [Emission, Coherence, Dissonance, Mutation, Coherence, Silence]
825+ # ^prior IL ^recent dest ^transform ^handler+stab
826+ ```
827+
828+ ### Relationships
829+ - ** Requires** : Prior IL + recent destabilizer + handler (U4b + U4a)
830+ - ** Triggers** : Phase transformation (θ → θ')
831+ - ** Most constrained** : Strictest grammar requirements of all operators
832+
833+ ### Test References
834+ - ` tests/unit/operators/test_bifurcation.py ` - Transformation validation
835+ - ` tests/unit/operators/test_canonical_grammar_rules.py ` - U4b compliance
836+
587837---
588838
589839## 12. Transition (NAV) ➡️
@@ -625,6 +875,29 @@ sequence = [
625875]
626876```
627877
878+ ### Anti-Patterns
879+ ``` python
880+ # ✗ WRONG: NAV without latent structure to activate
881+ G.add_node(0 , EPI = 0.0 , vf = 0.0 , theta = 0.0 , dnfr = 0.0 ) # Completely dormant
882+ Transition()(G, 0 ) # No previous state to transition from
883+
884+ # ✓ CORRECT: NAV activating preserved state
885+ [Emission, Silence, Transition, Coherence, Silence] # Reactivate after silence
886+
887+ # ✓ CORRECT: NAV as regime shift
888+ [Emission, Coherence, Transition, Reception, Silence] # Mode change
889+ ```
890+
891+ ### Relationships
892+ - ** Generator role** : Can start sequences (U1a)
893+ - ** Closure role** : Can end sequences (U1b)
894+ - ** Dual nature** : Both activator and terminator
895+ - ** Often used for** : Regime shifts, mode transitions
896+
897+ ### Test References
898+ - Grammar tests validate U1a/U1b dual role
899+ - Latent activation tested in integration tests
900+
628901---
629902
630903## 13. Recursivity (REMESH) 🔄
@@ -668,6 +941,30 @@ sequence = [
668941]
669942```
670943
944+ ### Anti-Patterns
945+ ``` python
946+ # ✗ WRONG: REMESH without history/previous states
947+ G = nx.Graph()
948+ G.add_node(0 , EPI = 0.0 , vf = 1.0 , theta = 0.0 , dnfr = 0.0 )
949+ Recursivity()(G, 0 ) # No EPI history to reference
950+
951+ # ✓ CORRECT: REMESH with established patterns
952+ [Emission, Coherence, Emission, Recursivity] # Has history
953+
954+ # ✓ CORRECT: Multi-scale organization
955+ [Emission, Coupling, SelfOrganization, Recursivity] # Fractal + recursive
956+ ```
957+
958+ ### Relationships
959+ - ** Generator role** : Can start sequences (U1a)
960+ - ** Closure role** : Can end sequences (U1b)
961+ - ** Creates** : Recursive patterns across scales
962+ - ** Requires** : Previous EPI states (history)
963+
964+ ### Test References
965+ - ` tests/unit/operators/test_remesh_operator_integration.py ` - Recursive structure validation
966+ - Multi-scale fractality tests
967+
671968---
672969
673970## Operator Composition Patterns
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