GIFT

Citation Guide

Citation formats for the GIFT Framework v3.1.

BibTeX

@software{gift_framework_v31,
  title   = {GIFT Framework v3.1: Geometric Information Field Theory},
  author  = {de La Fournière, Brieuc},
  year    = {2025},
  url     = {https://github.com/gift-framework/GIFT},
  version = {3.1.1},
  license = {MIT},
  note    = {18 dimensionless predictions, 0.087\% mean deviation, 180+ certified relations}
}

APA Style

de La Fournière, B. (2025). GIFT Framework v3.1: Geometric Information Field Theory (Version 3.1.1) [Software]. GitHub. https://github.com/gift-framework/GIFT

Chicago Style

de La Fournière, Brieuc. "GIFT Framework v3.1: Geometric Information Field Theory." Version 3.1.1. GitHub, 2025. https://github.com/gift-framework/GIFT.

Theoretical Framework Citation

BibTeX

@article{gift_theory_v31,
  title  = {Geometric Information Field Theory v3.1: Topological Determination of Standard Model Parameters},
  author = {de La Fournière, Brieuc},
  year   = {2025},
  note   = {Mean deviation 0.087\% across 18 dimensionless predictions, zero continuous adjustable parameters, 180+ proven exact relations},
  url    = {https://github.com/gift-framework/GIFT}
}

Citing Specific Documents

Main Paper

@misc{gift_main_v31,
  title        = {Geometric Information Field Theory: Topological Determination of Standard Model Parameters},
  author       = {de La Fournière, Brieuc},
  year         = {2025},
  howpublished = {GIFT Framework v3.1},
  url          = {https://github.com/gift-framework/GIFT/blob/main/publications/markdown/GIFT_v3.1_main.md}
}

S1: Foundations

@misc{gift_s1_foundations,
  title        = {GIFT S1: Mathematical Foundations - E₈, G₂, K₇},
  author       = {de La Fournière, Brieuc},
  year         = {2025},
  howpublished = {GIFT Framework v3.1, Supplement S1},
  url          = {https://github.com/gift-framework/GIFT/blob/main/publications/markdown/GIFT_v3.1_S1_foundations.md}
}

S2: Derivations

@misc{gift_s2_derivations,
  title        = {GIFT S2: Complete Derivations - 18 Dimensionless Observables},
  author       = {de La Fournière, Brieuc},
  year         = {2025},
  howpublished = {GIFT Framework v3.1, Supplement S2},
  url          = {https://github.com/gift-framework/GIFT/blob/main/publications/markdown/GIFT_v3.1_S2_derivations.md}
}

Citing Specific Results

CP Violation Phase

@misc{gift_cp_violation,
  title        = {Exact Topological Formula for CP Violation Phase: δ_CP = 197°},
  author       = {de La Fournière, Brieuc},
  year         = {2025},
  howpublished = {GIFT Framework v3.1},
  note         = {Formula: δ_CP = dim(K₇)×dim(G₂) + H* = 7×14 + 99 = 197°},
  url          = {https://github.com/gift-framework/GIFT/blob/main/publications/markdown/GIFT_v3.1_S2_derivations.md}
}

Weinberg Angle

@misc{gift_weinberg_angle,
  title        = {Topological Derivation of Weinberg Angle: sin²θ_W = 3/13},
  author       = {de La Fournière, Brieuc},
  year         = {2025},
  howpublished = {GIFT Framework v3.1},
  note         = {Formula: sin²θ_W = b₂/(b₃ + dim(G₂)) = 21/91 = 3/13},
  url          = {https://github.com/gift-framework/GIFT/blob/main/publications/markdown/GIFT_v3.1_S2_derivations.md}
}

Generation Number

@misc{gift_generation_number,
  title        = {Topological Proof of Three Fermion Generations},
  author       = {de La Fournière, Brieuc},
  year         = {2025},
  howpublished = {GIFT Framework v3.1},
  note         = {N_gen = 3 from Atiyah-Singer index theorem on K₇},
  url          = {https://github.com/gift-framework/GIFT/blob/main/publications/markdown/GIFT_v3.1_S1_foundations.md}
}

Formal Verification

@software{gift_core_v31,
  title   = {GIFT Core: Formal Verification in Lean 4 + Coq},
  author  = {de La Fournière, Brieuc},
  year    = {2025},
  url     = {https://github.com/gift-framework/core},
  version = {3.1.1},
  note    = {180+ relations verified, zero axioms, K₇ metric pipeline, Joyce existence theorem}
}

DOI Information

Archive Link
Zenodo 10.5281/zenodo.17751250
ResearchGate Author page

Version History

Version Date Highlights
3.1.0 2025-12-17 Analytical G₂ metric, 180+ certified relations
3.0.0 2025-12-09 Major release: 165+ certified relations, Fibonacci/Monster/McKay
2.3.x 2025-12 Dual Lean 4 + Coq verification
2.2.0 2025-11-27 Zero-parameter paradigm
2.1.0 2025-11-22 Torsional dynamics
2.0.0 2025-10-24 Framework reorganization

Usage in Publications

When using GIFT predictions:

  1. Cite framework - Use software citation above
  2. Cite specific results - Use appropriate document citation
  3. Specify version - Always include version number (v3.1)
  4. Link repository - Include GitHub URL for reproducibility

Example

“We compare our measurements with predictions from the Geometric Information Field Theory (GIFT) framework [1], which derives Standard Model parameters from E₈×E₈ topology. The GIFT prediction for the CP violation phase is δ_CP = 197° [2].”

[1] de La Fournière, B. “GIFT Framework v3.0,” 2025, https://github.com/gift-framework/GIFT

[2] de La Fournière, B. “GIFT S2: Complete Derivations,” 2025.

License

MIT License - See LICENSE

Version: 3.1.1 (2025-12-17)

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