https://github.com/gatanegro/symmetry-3dcom

Can 3DCOM Reconstruct Known Physics Group Symmetries?
https://github.com/gatanegro/symmetry-3dcom

algebra groups lie metric recursive so10 su3 symmetry tensor

Last synced: 3 months ago
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Can 3DCOM Reconstruct Known Physics Group Symmetries?

• Host: GitHub
• URL: https://github.com/gatanegro/symmetry-3dcom
• Owner: gatanegro
• License: other
• Created: 2025-07-16T09:45:06.000Z (3 months ago)
• Default Branch: main
• Last Pushed: 2025-07-17T23:09:24.000Z (3 months ago)
• Last Synced: 2025-07-18T02:45:57.039Z (3 months ago)
• Topics: algebra, groups, lie, metric, recursive, so10, su3, symmetry, tensor
• Language: Python
• Homepage:
• Size: 428 KB
• Stars: 0
• Watchers: 0
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

          
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## Research & Contribution Policy

This repository contains original research, mathematics, and unconventional approaches.  

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If you wish to pursue related research, fork this repository and continue independently.

> Note: Apparent errors or unconventional methods are intentional and part of new theoretical work.

## Paradigm Shift: Geometry \& Recursion over Group Postulates

Symmetry in 3DCOM: Defined by recursive, observer-dependent equivalence of attractor orbits—not by invariance under fixed isometry groups.

Group behavior: Simulated through layered recursion, phase coupling, and attractor mapping.

Metric tensor: Encodes angular field structure and recursive alignment, linking observer phase to attractor resonance.

Symmetry breaking: Natural and quantified by changes in recursive attractor amplitude, not by external perturbations.

 ## Takeaways for 3DCOM Symmetry Modeling

- Redefine symmetry as recursion-invariant attractor patterns.

- Build algebraic actions (Rθ, T, M, S) as functional operators on recursive orbits.

- Use the angular metric tensor to explore resonance, observer-relativity, and symmetry breaking.

- Classify symmetry via recursive family grouping, identifying invariant orbits and pathways.

- Simulate high-dimensional group behavior by dynamic geometry, not algebraic postulates.

3DCOM symmetry is a shift: recursion and field geometry drive the emergence, persistence, and breaking of symmetric behavior in complex, octave-based systems.

[![DOI](https://zenodo.org/badge/DOI/10.5281/zenodo.16057953.svg)](https://doi.org/10.5281/zenodo.16057953)