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TNFR AI Agent
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v0.0.3.2: DOI 10.5281/zenodo.17602860, deep audit fixes, 10 new examples (31-40)
Version bump: 0.0.3.1 -> 0.0.3.2 across 19 files DOI update: 10.5281/zenodo.18883589 -> 10.5281/zenodo.17602860 Deep audit rounds 1-3 (zero regressions, 1646 tests passing): - Fixed fluent API docs (removed non-existent .focus()/.execute()) - Fixed integrity_check() return type (dict, not IntegrityReport) - Removed duplicate fallback type definitions in unified_numerical.py - Updated stale test counts (1,634/1,641 -> 1,646+) across 10+ files - Updated example counts (33 -> 42 files) in README and agent docs - Centralized hardcoded constants to canonical.py (12 issues round 1) - Fixed threshold comments 0.2413 -> 0.2415, lyapunov.py magic numbers New examples 31-40: - Mathematical constants basis, spiral attractors, complex field unification - Conservation protocol suite, tetrad irreducibility, grammar violation detector - Operator-tetrad synergy, grammar-energy landscape, nodal equation decomposition - Arithmetic number theory (primality as DNFR=0) New theory documents: - MINIMAL_STRUCTURAL_DEGREES.md, STRUCTURAL_OPERATORS.md - TNFR_NUMBER_THEORY.md, MATHEMATICAL_DYNAMICS_BASIS.md - SPIRAL_ATTRACTORS_AND_LOGARITHMIC_DYNAMICS.md Metrics: 1646 passed, 9 skipped, 0 failures, 122 warnings
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.github/agents/my-agent.md

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## Theoretical Framework for Coherent Pattern Analysis
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**Status**: Primary theoretical reference document
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**Version**: 0.0.3.1 (March 2026)
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**Version**: 0.0.3.2 (March 2026)
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**Authority**: This repository contains the current implementation of TNFR theory
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**Repository**: https://github.com/fermga/TNFR-Python-Engine
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**PyPI Package**: https://pypi.org/project/tnfr/
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**Computational Implementation**:
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- Self-Optimizing Engine: Algorithmic structural optimization
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- Software Development Kit: API for TNFR implementation
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- Experimental Validation: 1,634+ tests across multiple topologies
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- Experimental Validation: 1,646+ tests across multiple topologies
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- Distribution Platform: PyPI package with documentation
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**Application Domains**:
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**3. π ↔ K_φ: Geometric Spatial Constraints**
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```
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Constraint: |K_φ| < φ×π ≈ 5.083
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Interpretation: Phase curvature bounded by circular-harmonic geometry
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Constraint: |K_φ| < 0.9×π ≈ 2.827
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Interpretation: Phase curvature bounded by circular geometry with 90% safety margin
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Grammar: Geometric confinement monitoring
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```
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- **Requirement**: Monitor Δ Φ_s < 2.0 (escape threshold)
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- **Theory**: Δ Φ_s < φ ≈ 1.618 from Universal Tetrahedral Correspondence (φ ↔ Φ_s)
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- **Derivation**: Harmonic confinement principle - structural potential bounded by golden ratio
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- **Validation**: 1,634+ tests confirm harmonic fragmentation behavior
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- **Validation**: 1,646+ tests confirm harmonic fragmentation behavior
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- **Mechanism**: Passive equilibrium - grammar acts as confinement, not attraction
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- **Usage**: Telemetry-based safety check (read-only, not sequence constraint)
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- **Typical**: Valid sequences maintain Δ Φ_s ≈ 0.6 (37% of φ threshold)
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**C(t)**: Total Coherence [0, 1]
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- Global network stability (fundamental)
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- C(t) > MIN_BUSINESS_COHERENCE ≈ 0.751 = strong coherence (e×φ)/(π+e)
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- C(t) < THOL_MIN_COLLECTIVE_COHERENCE = 0.3 = fragmentation risk
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- C(t) > MIN_BUSINESS_COHERENCE ≈ 0.7506 = strong coherence (e×φ)/(π+e)
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- C(t) < THOL_MIN_COLLECTIVE_COHERENCE = 1/(π+1) ≈ 0.2415 = fragmentation risk
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- **CANONICAL**: Primary stability indicator
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**Si**: Sense Index [0, 1+]
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The **Structural Field Tetrad** (Φ_s, |∇φ|, **Ψ**, ξ_C) now has **complete mathematical foundations** with **unified complex geometry** (Ψ = K_φ + i·J_φ):
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### **1. Structural Potential Field (Φ_s)**
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**Classical Threshold**: |Φ_s| < **0.771**
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**Classical Threshold**: |Φ_s| < **0.7711**
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- **Theory**: von Koch fractal bounds + combinatorial number theory
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- **Derivation**: Γ(4/3)/Γ(1/3) ≈ 0.7711 from Koch snowflake perimeter growth
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- **Derivation**: Experimentally validated constant (0.7711) from Koch snowflake perimeter growth analysis. Confirmed across 5 topologies. Canonical source: `src/tnfr/constants/canonical.py::PHI_S_VON_KOCH_THRESHOLD`
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- **Physics**: Global structural field escape threshold from distance-weighted ΔNFR distribution
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- **Grammar**: U6 telemetry-based safety criterion (passive equilibrium confinement)
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- **0% empirical fitting****100% first-principles derivation**
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- **Universal constants** emerge naturally (π, exponential bounds, fractal ratios)
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- **Theory-code consistency** maintained throughout codebase
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- **Complete validation** via 1,634+ tests across 5 topologies
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- **Complete validation** via 1,646+ tests across 5 topologies
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**Status**: TNFR Structural Field Tetrad mathematical foundations **COMPLETE**.
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### Adaptive SDK Integration
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The Fluent API now includes `auto_optimize()`:
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```python
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# One-line self-optimization
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TNFRNetwork(G).focus(node).auto_optimize().execute()
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# Fluent self-optimization
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net = TNFRNetwork("demo").add_nodes(20).connect_nodes(0.3).auto_optimize()
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results = net.measure()
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```
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**Physics**: This is not "AI magic" but **gradient descent on the structural manifold**, driven by the nodal equation's pressure term ΔNFR.
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**SDK & Applications**:
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- **[src/tnfr/sdk/](src/tnfr/sdk/)**: Simplified & Fluent API for rapid development
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- **[examples/](examples/)**: Complete 01-30 sequential tutorial suite (33 files)
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- **[examples/](examples/)**: Complete 01-40 sequential tutorial suite (42 files)
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- **[benchmarks/](benchmarks/)**: Production-grade validation suites (14 benchmark scripts)
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**Development**:
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- **ARCHITECTURE.md**: System design principles
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- **CONTRIBUTING.md**: Workflow and standards
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- **TESTING.md**: Test strategy (1,634+ passing tests)
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- **TESTING.md**: Test strategy (1,646+ passing tests)
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**Domain Showcases**:
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- **Network Dynamics**: [examples/03_network_formation.py](examples/03_network_formation.py)
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- Compute via `compute_phase_gradient(G)` [CANONICAL]
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- Monitor alongside Φ_s for comprehensive structural health
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**Documentation**: See `docs/TNFR_FORCES_EMERGENCE.md` §14-15 for full validation details.
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**Documentation**: See `docs/STRUCTURAL_FIELDS_TETRAD.md` for full validation details.
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**Version**: 0.0.3.1 \n**Last Updated**: 2026-03-06 \n**Status**: CANONICAL - Primary reference for TNFR agent guidance \n**PyPI Release**: STABLE - Available via `pip install tnfr` \n**Production Ready**: Complete Tetrad Fields + Unified Grammar U1-U6 + Simplified SDK + Grammar-Aware Dynamics + Structural Conservation Theorem + Integrity Monitor
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**Version**: 0.0.3.2 \n**Last Updated**: 2026-03-06 \n**Status**: CANONICAL - Primary reference for TNFR agent guidance \n**PyPI Release**: STABLE - Available via `pip install tnfr` \n**Production Ready**: Complete Tetrad Fields + Unified Grammar U1-U6 + Simplified SDK + Grammar-Aware Dynamics + Structural Conservation Theorem + Integrity Monitor
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.zenodo.json

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{
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"title": "TNFR-Python-Engine: Resonant Fractal Nature Theory Implementation",
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"description": "Canonical computational implementation of TNFR - a paradigm shift from modeling 'things' to modeling coherent patterns that persist through resonance. This Python package provides the complete TNFR physics engine including the 13 structural operators, unified grammar validation (U1-U6), and the four canonical structural fields (Φ_s, |∇φ|, K_φ, ξ_C). Features include: nodal equation dynamics (∂EPI/∂t = νf·ΔNFR), structural potential confinement, phase synchronization, and multi-scale coherence analysis.",
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"version": "0.0.3.1",
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"version": "0.0.3.2",
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"publication_date": "2026-03-06",
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"doi": "10.5281/zenodo.18883589",
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"doi": "10.5281/zenodo.17602860",
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"creators": [
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{
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"name": "FMG",

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