| _version_ | 1866901078721691648 |
|---|---|
| author | Lima, Eliseu Spiller de Barros |
| author_facet | Lima, Eliseu Spiller de Barros |
| contents | <p>First paper of the RASP series. Derives four fundamental constants of nature — proton-to-electron mass ratio, neutron-to-electron mass ratio, inverse fine-structure constant, and muon-to-electron mass ratio — from a single gated cubic recursion f(x) = Γ·tanh³(x) − λx with zero free parameters. All constants emerge from the integers (n,p) = (3,5) through Diophantine, modular arithmetic, and spectral constraints. Includes 106 computational verification scripts. Research began June 2025.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19315343 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Four Fundamental Constants of Nature from a Gated Cubic Recursion with Zero Free Parameters Lima, Eliseu Spiller de Barros mathematical physics recursion fundamental constants proton mass fine-structure constant number theory Diophantine equations particle physics gated recursion <p>First paper of the RASP series. Derives four fundamental constants of nature — proton-to-electron mass ratio, neutron-to-electron mass ratio, inverse fine-structure constant, and muon-to-electron mass ratio — from a single gated cubic recursion f(x) = Γ·tanh³(x) − λx with zero free parameters. All constants emerge from the integers (n,p) = (3,5) through Diophantine, modular arithmetic, and spectral constraints. Includes 106 computational verification scripts. Research began June 2025.</p> |
| title | Four Fundamental Constants of Nature from a Gated Cubic Recursion with Zero Free Parameters |
| topic | mathematical physics recursion fundamental constants proton mass fine-structure constant number theory Diophantine equations particle physics gated recursion |
| url | https://doi.org/10.5281/zenodo.19315343 |