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📦 The Unnamables Theorem Ecosystem (⧉ / ⧉ₛ)

Author: Jérôme Garidel

Official Deposits (INPI e-Soleau):

  1. The Unnamables Theorem: n°DSO2025030113
  2. ⧉ₛ Computational Matrix (9×9×9): n°DSO2026001939

DOI: https://zenodo.org/records/18146650

"Not knowing is information. This information deserves explicit status."


🎯 Overview

This pack is an indivisible research unit establishing the post-Socratic era. It enables the transition from doubt that paralyzes to indexing that liberates action, whether in fundamental physics or artificial intelligence.


📝 Summary

The Unnamables Theorem proposes a methodological framework to treat honestly, explicitly, and operationally unknown, indeterminate, or empirically established elements in scientific, mathematical, and cognitive theories.

It introduces a simple yet structuring distinction between:

  • ⧉: irreducible components (essential, non-substitutable given current knowledge).
  • ⧉ₛ: provisional or substitutable components (parameters established for lack of better, operational hypotheses, empirical constants).

This framework does not claim to solve the unknown, but enables us to name it honestly, situate it, and avoid conceptual blockages linked to vagueness, mystification, or methodological silence.

🚀 Subsequent Work & Derivations

This theorem is not an end, but the starting point of a chain reaction. The rigor of ⧉ / ⧉ₛ indexing has enabled:

  1. The Unnamables Matrix: A 9×9×9 tensor geometry to compute phase differential of apparent randomness.

  2. LLM Optimization: An industrial pipeline making AI natively honest and drastically more energy-efficient. This gain relies on classification and deep understanding of information nature (irreducible vs substitutable) processed by the model. This pack delivers the framework's complete arsenal: the 5 stress-test Benchmarks, the original FID engine, its high-magnitude FID 3D version, and its operational application to Quantum computing.

  3. Constants Revision: A campaign to recalculate fundamental physical constants via Xₛ differential and various problems.


📂 Pack Navigation

  1. 01_THEOREM: Foundational text of irreducible/substitutable logic.

  2. 02_PHILOSOPHY_AND_VISION: Manifesto and Proclamation (The After-Socrates).

  3. 03_MATRIX_AND_IMPLEMENTATION: 9×9×9 framework and computational proof via Python code.

  4. 04_THEORIE_INDEX: Application to universal constants (Evolving directory)and various problems.

  5. 05_OPTI_LLM: Pipeline for honest and economical AI (-60% tokens).


⚖️ License & Intellectual Property

This work is protected and distributed under CC BY-NC-SA 4.0 license.

  • Attribution: You must credit Jérôme Garidel.
  • Non-Commercial: Industrial exploitation (LLM Optimization, Matrix Computation) requires prior contractual agreement.
  • ShareAlike: Derivatives must remain under the same license.

See LICENSE.md file for complete details.

📩 Contact: JeromeGaridel@outlook.fr

About

Theorem of the Unnameable [⧉/⧉ₛ] — Epistemological framework for binary information classification (Fixed Point/Fluctuating Point). Application to LLMs via 3-6-9 anti-loop matrix. Empirical validation: 5 models, 73% savings, zero hallucination on marked zones.

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