{"id":29737318,"url":"https://github.com/gatanegro/quantumcom","last_synced_at":"2025-07-25T16:11:20.042Z","repository":{"id":304285342,"uuid":"1018339573","full_name":"gatanegro/QuantumCOM","owner":"gatanegro","description":"Quantum  in Unified Oscillatory Field Theory and the Collatz Octave Framework","archived":false,"fork":false,"pushed_at":"2025-07-12T04:30:09.000Z","size":3332,"stargazers_count":0,"open_issues_count":0,"forks_count":0,"subscribers_count":0,"default_branch":"main","last_synced_at":"2025-07-12T06:21:41.978Z","etag":null,"topics":["bells","collatz","cryptography","dynamics","entanglement-entropy","holography","inequality","nonlinear","quantum","qubit","uoft"],"latest_commit_sha":null,"homepage":"","language":"Python","has_issues":true,"has_wiki":null,"has_pages":null,"mirror_url":null,"source_name":null,"license":"other","status":null,"scm":"git","pull_requests_enabled":true,"icon_url":"https://github.com/gatanegro.png","metadata":{"files":{"readme":"README.md","changelog":null,"contributing":null,"funding":null,"license":"LICENSE","code_of_conduct":null,"threat_model":null,"audit":null,"citation":null,"codeowners":null,"security":null,"support":null,"governance":null,"roadmap":null,"authors":null,"dei":null,"publiccode":null,"codemeta":null,"zenodo":null}},"created_at":"2025-07-12T04:07:03.000Z","updated_at":"2025-07-12T04:30:12.000Z","dependencies_parsed_at":"2025-07-12T06:31:58.193Z","dependency_job_id":null,"html_url":"https://github.com/gatanegro/QuantumCOM","commit_stats":null,"previous_names":["gatanegro/quantumcom"],"tags_count":null,"template":false,"template_full_name":null,"purl":"pkg:github/gatanegro/QuantumCOM","repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/gatanegro%2FQuantumCOM","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/gatanegro%2FQuantumCOM/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/gatanegro%2FQuantumCOM/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/gatanegro%2FQuantumCOM/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/gatanegro","download_url":"https://codeload.github.com/gatanegro/QuantumCOM/tar.gz/refs/heads/main","sbom_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/gatanegro%2FQuantumCOM/sbom","host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":267029422,"owners_count":24024203,"icon_url":"https://github.com/github.png","version":null,"created_at":"2022-05-30T11:31:42.601Z","updated_at":"2022-07-04T15:15:14.044Z","status":"online","status_checked_at":"2025-07-25T02:00:09.625Z","response_time":70,"last_error":null,"robots_txt_status":"success","robots_txt_updated_at":"2025-07-24T06:49:26.215Z","robots_txt_url":"https://github.com/robots.txt","online":true,"can_crawl_api":true,"host_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub","repositories_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories","repository_names_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repository_names","owners_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners"}},"keywords":["bells","collatz","cryptography","dynamics","entanglement-entropy","holography","inequality","nonlinear","quantum","qubit","uoft"],"created_at":"2025-07-25T16:11:18.223Z","updated_at":"2025-07-25T16:11:20.019Z","avatar_url":"https://github.com/gatanegro.png","language":"Python","funding_links":[],"categories":[],"sub_categories":[],"readme":"## 📢 Join the Community!\n\nDiscussion, questions, and collaboration for this project are hosted in our central community repo:  \n👉 [gatanegro/community](https://github.com/gatanegro/community/discussions)\n\n- Share discoveries, suggestions, and ideas.\n- Ask questions about the research.\n- Fork this repo to continue your own work—direct changes are not permitted.\n\n**You must have a GitHub account to participate in discussions.**\n\n\n## Research \u0026 Contribution Policy\n\nThis repository contains original research, mathematics, and unconventional approaches.  \n**Please do not submit pull requests or issues requesting changes.**  \nIf you wish to pursue related research, fork this repository and continue independently.\n\n\u003e Note: Apparent errors or unconventional methods are intentional and part of new theoretical work.\n\n\n\n## \"Quantum Field Theory Meets the Collatz Conjecture: A Holographic Approach to Number Theory\"\n\n[![DOI](https://zenodo.org/badge/DOI/10.5281/zenodo.15873683.svg)](https://doi.org/10.5281/zenodo.15873683)\n\n\nA 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:\n    1. Collatz convergence mirrors phase synchronization in UQFT.\n    2. The modulo-9 reduction of numbers maps to an octave-based oscillator model.\n    3. 3D visualizations reveal FIELD-mediated entanglement between sequences.\n    4. A holographic duality emerges between the bulk (Collatz dynamics) and a boundary fractal CFT.\nThis work suggests unexplored connections between number theory, UQFT, and the AdS/CFT correspondence.\n\n## Usage Instructions\n\n### Running Simulations\n```bash\npython3.11 oft_com_simulations.py          # Basic simulation\npython3.11 generate_visualizations.py      # Generate all plots\npython3.11 data_analysis.py               # Comprehensive analysis\n```\n\n### Dependencies\n- Python 3.11+\n- NumPy, SciPy, Matplotlib, Seaborn\n- PyWavelets for wavelet analysis\n\n### Viewing Results\n- Open .pdf` for the full paperS\n- View plots in the `plots/` directory\n- Check `analysis_results.json` for numerical data\n","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fgatanegro%2Fquantumcom","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fgatanegro%2Fquantumcom","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fgatanegro%2Fquantumcom/lists"}