@@ -137,113 +137,30 @@ At the heart of TNFR is one elegant equation:
137137
138138## 📚 Documentation
139139
140- ### 🎯 Single Source of Truth for Mathematics
141-
142- ** [ Mathematical Foundations of TNFR] ( docs/source/theory/mathematical_foundations.md ) ** ⭐
143-
144- This is THE ONLY place where TNFR mathematics is formally defined:
145- - Hilbert space H_NFR and Banach space B_EPI
146- - Coherence operator Ĉ (spectral theory, proofs)
147- - Frequency operator Ĵ and reorganization operator ΔNFR
148- - Complete nodal equation derivation
149- - ** §3.1.1** : Implementation bridge (theory → code)
150-
151- ### 🎯 Classical Mechanics Emergence
152-
153- ** TNFR reveals how observable classical physics emerges from structural coherence dynamics** :
154-
155- ```
156- TNFR Nodal Equation (∂EPI/∂t = νf · ΔNFR)
157- ↓
158- Low-dissonance limit (ε → 0)
159- ↓
160- Observable Classical Mechanics
161- ```
162-
163- ** Key Emergent Phenomena** :
164- - ** Mass** : ` m = 1/νf ` (inverse structural frequency) — mass is structural inertia
165- - ** Force** : ` F = -∇U(q) ` (coherence potential gradient) — force is stability flow
166- - ** Newton's Laws** : Natural consequences of the nodal equation at low dissonance
167- - ** Action Principle** : Coherence optimization over time
168- - ** Conservation Laws** : Network symmetries preserve structural quantities
169-
170- ** Documentation** :
171- - ** [ 📘 N-Body Classical Mechanics Guide] ( docs/TNFR_CLASSICAL_NBODY.md ) ** — ** Complete formal reference** (variable mappings, conservation laws, validation protocols, code examples)
172- - [ Classical Mechanics from TNFR] ( docs/source/theory/07_emergence_classical_mechanics.md ) — Complete derivation from nodal equation
173- - [ Euler-Lagrange Correspondence] ( docs/source/theory/08_classical_mechanics_euler_lagrange.md ) — Variational formulation
174- - [ Numerical Validation] ( docs/source/theory/09_classical_mechanics_numerical_validation.md ) — Computational verification
175-
176- ** Practical Examples** :
177- - ` examples/domain_applications/nbody_gravitational.py ` — Two-body orbits, three-body systems
178- - ` examples/nbody_quantitative_validation.py ` — Full validation suite (6 canonical experiments)
179- - ` tests/validation/test_nbody_validation.py ` — Automated test suite
180-
181- This demonstrates ** classical mechanics as a natural expression of coherent structural dynamics** in the observable, deterministic regime.
182-
183- ### 📖 Quick References
184-
185- - ** [ GLOSSARY] ( GLOSSARY.md ) ** - Operational definitions for code use
186- - ** [ TNFR Concepts] ( docs/source/getting-started/TNFR_CONCEPTS.md ) ** - Paradigm introduction
187- - ** [ API Overview] ( docs/source/api/overview.md ) ** - Package architecture
188- - ** [ Operator Guide] ( docs/source/api/operators.md ) ** - Complete operator reference
189- - ** [ NAV Guide] ( docs/source/operators/NAV_GUIDE.md ) ** - NAV (Transition) canonical sequences, anti-patterns, and troubleshooting
190- - ** [ THOL Configuration Reference] ( docs/THOL_CONFIGURATION_REFERENCE.md ) ** - Comprehensive THOL parameter guide
191-
192- ### 🎨 Grammar System
193-
194- TNFR uses a unified physics-based grammar to validate operator sequences.
195- All constraints emerge inevitably from the nodal equation and TNFR invariants.
196-
197- #### Four Canonical Constraints (U1-U4)
198-
199- 1 . ** U1: STRUCTURAL INITIATION & CLOSURE**
200- - U1a: Start with generators when EPI=0
201- - U1b: End with closure operators
202- - Basis: ∂EPI/∂t undefined at EPI=0
203-
204- 2 . ** U2: CONVERGENCE & BOUNDEDNESS**
205- - If destabilizers, then include stabilizers
206- - Basis: ∫νf·ΔNFR dt must converge
207-
208- 3 . ** U3: RESONANT COUPLING**
209- - If coupling/resonance, then verify phase
210- - Basis: AGENTS.md Invariant #5
211-
212- 4 . ** U4: BIFURCATION DYNAMICS**
213- - U4a: If triggers, then include handlers
214- - U4b: If transformers, then recent destabilizer
215- - Basis: Contract OZ + bifurcation theory
216-
217- ** For complete derivations:** See [ UNIFIED_GRAMMAR_RULES.md] ( UNIFIED_GRAMMAR_RULES.md )
218-
219- ** For implementation:** See ` src/tnfr/operators/grammar.py `
220-
221- #### Quick Start
222-
223- ``` python
224- from tnfr.operators.grammar import validate_grammar
225- from tnfr.operators.definitions import Emission, Coherence, Silence
226-
227- sequence = [Emission(), Coherence(), Silence()]
228- is_valid = validate_grammar(sequence, epi_initial = 0.0 )
229- ```
230-
231- #### Migration from Old Grammar Systems
232-
233- If you're using the old C1-C3 or RC1-RC4 systems:
234-
235- - ** Old:** ` from tnfr.operators.grammar import validate_sequence `
236- - ** New:** ` from tnfr.operators.grammar import validate_grammar `
237-
238- See migration guide in [ GRAMMAR_MIGRATION_GUIDE.md] ( GRAMMAR_MIGRATION_GUIDE.md )
239-
240- ### 🧪 Advanced Topics
241-
242- - [ ARCHITECTURE.md] ( ARCHITECTURE.md ) - System design & invariants
243- - [ Backend System] ( docs/backends.md ) - NumPy/JAX/Torch backends
244- - [ TESTING.md] ( TESTING.md ) - Test strategy & validation
245- - [ SECURITY.md] ( SECURITY.md ) - Security practices
246- - [ CONTRIBUTING.md] ( CONTRIBUTING.md ) - Development workflow
140+ ### Core Documentation
141+
142+ ** Theory & Foundations**
143+ - 📘 ** [ Mathematical Foundations] ( docs/source/theory/mathematical_foundations.md ) ** - Formal TNFR mathematics
144+ - 📖 ** [ TNFR Concepts] ( docs/source/getting-started/TNFR_CONCEPTS.md ) ** - Paradigm introduction
145+ - 📋 ** [ GLOSSARY] ( GLOSSARY.md ) ** - Operational definitions
146+ - 🔬 ** [ Classical Mechanics Emergence] ( docs/TNFR_CLASSICAL_NBODY.md ) ** - How classical physics emerges from TNFR
147+
148+ ** Grammar System**
149+ - 🎯 ** [ Grammar Documentation Hub] ( docs/grammar/README.md ) ** - Complete navigation guide
150+ - 📐 ** [ Unified Grammar Rules] ( UNIFIED_GRAMMAR_RULES.md ) ** - U1-U4 constraint derivations
151+ - 🚀 ** [ Grammar Quick Reference] ( docs/grammar/08-QUICK-REFERENCE.md ) ** - One-page cheat sheet
152+ - 📊 ** [ Executive Summary] ( docs/grammar/EXECUTIVE-SUMMARY.md ) ** - For managers and stakeholders
153+
154+ ** Implementation & API**
155+ - ⚙️ ** [ API Overview] ( docs/source/api/overview.md ) ** - Package architecture
156+ - 🔧 ** [ Operator Guide] ( docs/source/api/operators.md ) ** - Complete operator reference
157+ - 🛠️ ** [ ARCHITECTURE] ( ARCHITECTURE.md ) ** - System design
158+
159+ ** Development**
160+ - 🤝 ** [ CONTRIBUTING] ( CONTRIBUTING.md ) ** - Development workflow
161+ - 🧪 ** [ TESTING] ( TESTING.md ) ** - Test strategy
162+ - 🔒 ** [ SECURITY] ( SECURITY.md ) ** - Security practices
163+ - 🎓 ** [ AGENTS] ( AGENTS.md ) ** - Canonical invariants and guidance
247164
248165---
249166
0 commit comments