https://github.com/gatanegro/quantumcom
Quantum in Unified Oscillatory Field Theory and the Collatz Octave Framework
https://github.com/gatanegro/quantumcom
bells collatz cryptography dynamics entanglement-entropy holography inequality nonlinear quantum qubit uoft
Last synced: 3 months ago
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Quantum in Unified Oscillatory Field Theory and the Collatz Octave Framework
- Host: GitHub
- URL: https://github.com/gatanegro/quantumcom
- Owner: gatanegro
- License: other
- Created: 2025-07-12T04:07:03.000Z (3 months ago)
- Default Branch: main
- Last Pushed: 2025-07-12T04:30:09.000Z (3 months ago)
- Last Synced: 2025-07-12T06:21:41.978Z (3 months ago)
- Topics: bells, collatz, cryptography, dynamics, entanglement-entropy, holography, inequality, nonlinear, quantum, qubit, uoft
- Language: Python
- Homepage:
- Size: 3.18 MB
- Stars: 0
- Watchers: 0
- Forks: 0
- Open Issues: 0
-
Metadata Files:
- Readme: README.md
- License: LICENSE
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README
## 📢 Join the Community!
Discussion, questions, and collaboration for this project are hosted in our central community repo:
👉 [gatanegro/community](https://github.com/gatanegro/community/discussions)
- Share discoveries, suggestions, and ideas.
- Ask questions about the research.
- Fork this repo to continue your own work—direct changes are not permitted.
**You must have a GitHub account to participate in discussions.**
## Research & Contribution Policy
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.
## "Quantum Field Theory Meets the Collatz Conjecture: A Holographic Approach to Number Theory"
[](https://doi.org/10.5281/zenodo.15873683)
A novel framework linking the Collatz conjecture to quantum field theory (UQFT) and holography. By reinterpreting Collatz sequences as trajectories of a damped quantum system mediated by a non-local "FIELD," we show:
1. Collatz convergence mirrors phase synchronization in UQFT.
2. The modulo-9 reduction of numbers maps to an octave-based oscillator model.
3. 3D visualizations reveal FIELD-mediated entanglement between sequences.
4. A holographic duality emerges between the bulk (Collatz dynamics) and a boundary fractal CFT.
This work suggests unexplored connections between number theory, UQFT, and the AdS/CFT correspondence.
## Usage Instructions
### Running Simulations
```bash
python3.11 oft_com_simulations.py # Basic simulation
python3.11 generate_visualizations.py # Generate all plots
python3.11 data_analysis.py # Comprehensive analysis
```
### Dependencies
- Python 3.11+
- NumPy, SciPy, Matplotlib, Seaborn
- PyWavelets for wavelet analysis
### Viewing Results
- Open .pdf` for the full paperS
- View plots in the `plots/` directory
- Check `analysis_results.json` for numerical data