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Enchan Field Notes (Theoretical Framework)

Current version: v0.4.6 Status: theoretical note + public-data benchmark package License: Enchan Research & Verification License v1.0 (see LICENSE)

Enchan Field Notes is a set of theoretical memoranda exploring whether several galaxy-scale regularities can be organized within an effective field description built around a dimensionless scalar S.

This repository includes:

  • a LaTeX/PDF note (main.pdf, sections/)
  • a small reproducibility package for public-data benchmarks (enchan-theory-verification/)

Current theoretical synthesis

The v1.0.0 formulation of the Enchan Field is maintained in:

The Enchan Field: An Effective Field Framework for Geometric Stabilization and Non-Linear Relaxation
https://github.com/EnchanTheory/The-Enchan-Field-Paper

This repository should be read as an earlier field-note and public-data benchmark precursor to that formulation. The later paper generalizes the original scalar-field notes into a finite-tension geometric stabilization framework and connects the continuous field formulation to deterministic relaxation on discrete graph topologies.

This work is not peer-reviewed. It does not claim to falsify particle dark matter.


Scope (v0.4.6)

v0.4.6 is a copyedited, minimal-scope release intended for external distribution.

  • The PDF focuses on definitions, effective equations, and galaxy-scale benchmark targets.
  • Implementation details, device concepts, project planning, and forward roadmaps are intentionally out of scope.

Benchmarks (public-data targets)

The reproducibility package defines and evaluates externally checkable targets commonly used in the literature:

  1. RAR / MDAR (multi-point relation)
  2. BTFR (one galaxy = one point)
  3. Rotation-curve shape stress test (fixed-rule prediction, no per-galaxy tuning)

These are used as regression targets. They are not, by themselves, evidence of a unique underlying theory.


Baseline closure (benchmark interface)

Some scripts use a compact empirical mapping as a benchmark interface (baseline-only):

[ g_{\mathrm{tot}} = \sqrt{g_{\mathrm{bar}}^2 + a_0,g_{\mathrm{bar}}} ]

This should be read as reproducibility of the benchmark interface, not as a completed derivation from a unique fundamental model.


What's new in v0.4.6

  • Editorial / scope tightening: removed nonessential narrative and non-public operational details from the TeX/PDF.
  • Consistency pass: unified notation and kept the field description in a minimal effective form.
  • Benchmarks kept explicit: benchmark definitions remain as externally checkable targets for later forward modeling.

Repository structure

  • main.pdf: compiled note (Enchan Field Notes)
  • sections/: LaTeX sources
  • enchan-theory-verification/: reproducibility package (scripts, outputs)

Verification

Reproducibility instructions are provided inside:

  • enchan-theory-verification/README.md

(Upstream public datasets are not committed to this repository.)


Citation

If you wish to cite this work:

Kobayashi, M. (2026). Enchan Field Notes: Theoretical Framework. v0.4.6. GitHub repository.

For the current v1.0.0 theoretical synthesis, see:

Kobayashi, M. (2026). The Enchan Field: An Effective Field Framework for Geometric Stabilization and Non-Linear Relaxation. GitHub repository. https://github.com/EnchanTheory/The-Enchan-Field-Paper


License

This project is licensed under the Enchan Research & Verification License v1.0. See LICENSE for the full terms.


Contact

For research collaboration, commercial licensing inquiries, or any questions regarding the Enchan Theory, please reach out to: enchan.theory@gmail.com


Note: This is a living document and subject to change without notice.


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Public theoretical research notes and Python scripts for Enchan Theory, exploring emergent spacetime through galaxy-scale dynamical calculations.

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