Discussion, questions, and collaboration for this project are hosted in our central community repo:
👉 gatanegro/community
- Share discoveries, suggestions, and ideas.
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This repository contains original research, mathematics, and unconventional approaches.
Please do not submit pull requests or issues requesting changes.
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.
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.
- 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.
