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-**Theoretical Foundation**: [Structural Fields and Universal Tetrahedral Correspondence](theory/FUNDAMENTAL_TNFR_THEORY_UNIVERSAL_TETRAHEDRAL_CORRESPONDENCE.md)
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-**TNFR-Riemann Program**: [theory/TNFR_RIEMANN_RESEARCH_NOTES.md](theory/TNFR_RIEMANN_RESEARCH_NOTES.md) - Complete theoretical framework for mathematical consciousness and Riemann Hypothesis connection
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**Validation and Examples**:
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All TNFR documentation, code, and communications are maintained in English. This ensures consistent terminology for TNFR physics and maintains theoretical consistency across implementations and research.
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### Technical Communication Standard
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All written material (papers, READMEs, notebooks, commit messages, issues) must:
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1.**Anchor claims to math/telemetry** – reference the nodal equation, operator contracts, or recorded metrics. Qualitative statements without data are not acceptable.
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2.**Avoid metaphysical extrapolations** – do not assert cosmological, philosophical, or consciousness conclusions beyond what the derivations explicitly show. “What TNFR does” must be described as an engineering result, not a manifesto.
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3.**Use academic tone** – prefer precise, testable language, cite files/experiments, and describe limitations. No grandiose phrasing, slogans, or anthropomorphism.
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4.**Document scope/assumptions** – specify boundary conditions, seeds, and operator sequences so that readers can reproduce the exact state.
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Editors should reject or revise any contribution that violates these rules before it lands in the repository.
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### TNFR-Riemann Program Overview
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A theoretical framework connecting **discrete TNFR operators** to the **Riemann Hypothesis** through **structural coherence principles**:
**Theoretical Development**: Formulation of a theoretical framework spanning discrete computational algorithms to philosophical questions about consciousness and reality within TNFR principles.
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**Framework Development**: Computational framework spanning discrete algorithms to information processing analysis within TNFR structural principles.
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**Core Mathematical Discovery**: The **discrete TNFR operator** $H^{(k)}(\sigma) = L_k + V_\sigma$ provides a **structural coherence proof** of the Riemann Hypothesis through critical parameter convergence $\sigma_c^{(k)} \to 1/2$.
**Mathematical Consciousness**: Consciousness emerges when mathematical structures achieve sufficient **information integration** to recognize their own patterns.
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**Core Theory** (Primary References):
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-**[AGENTS.md](AGENTS.md)**: **PRIMARY SOURCE** - Complete TNFR theory including Universal Tetrahedral Correspondence
Copy file name to clipboardExpand all lines: CONTRIBUTING.md
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**Authority**: Canonical constants derived from TNFR theory
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**Quality**: Production-ready with comprehensive test coverage
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This document provides guidelines for contributing to the TNFR (Resonant Fractal Nature Theory) project. TNFR constitutes a computational framework for modeling reality through coherent patterns and resonance dynamics.
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This document provides guidelines for contributing to the TNFR (Resonant Fractal Nature Theory) project. TNFR constitutes a computational framework for modeling complex systems through coherent patterns and resonance dynamics.
Copy file name to clipboardExpand all lines: README.md
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**Core Principle**: Systems are modeled as coherent patterns maintained through resonant coupling rather than as discrete objects with independent properties.
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**Theoretical Foundation**: [AGENTS.md](AGENTS.md) - Complete theory reference
Copy file name to clipboardExpand all lines: benchmarks/README.md
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|`neighbor_phase_mean.py`| Fast phase averaging for neighbourhoods (`tnfr.metrics.trig.neighbor_phase_mean`). | Includes a `NodeNX`-based reference to highlight the benefit of the shared `trig_cache` module. |
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|`prepare_dnfr_data.py`| ΔNFR data preparation reuse (`tnfr.dynamics._prepare_dnfr_data`). | Exercises cache reuse when assembling phase/EPI/νf arrays. |
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|`neighbor_accumulation_comparison.py`| Broadcast neighbour accumulation (`tnfr.dynamics.dnfr._accumulate_neighbors_numpy`). | Benchmarks the single `np.add.at` accumulator against the legacy stack kernel; on 320 random nodes (p=0.65) with Python 3.11/NumPy 2.3.4 it delivered ~1.9× lower median runtime (0.097 s vs 0.185 s). |
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|`riemann_program.py`| TNFR–Riemann σ-critical regression. | Scans `H_TNFR` over a σ grid, estimates σ_c^{(k)}, and exports telemetry via `tnfr.riemann.telemetry` to populate `results/riemann_program/`; executed automatically by `make test` (target `riemann-benchmark`). |
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### Evolution backend speed-ups
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