Elliptic Curves as Emergent Space-Time in the Collatz-Octave Model and the Birch and Swinnerton-Dyer Conjecture
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2025
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| _version_ | 1866902041858670592 |
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| author | Martin, Doina |
| author_facet | Martin, Doina |
| contents | <p>I propose a novel approach to the Birch and Swinnerton-Dyer (BSD) Conjecture by interpreting elliptic curves as structured emergent space-time formations in the Collatz-Octave Model (COM). <br>I demonstrate that elliptic modular structuring naturally encodes the rank of elliptic curves and governs the emergence of space at quantum and cosmic scales. <br>Numerical computations confirm the relationship between rational points on elliptic curves and the behavior of their L-functions at \( s=1 \), providing further validation of the BSD Conjecture.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_14840891 |
| institution | Zenodo |
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| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Elliptic Curves as Emergent Space-Time in the Collatz-Octave Model and the Birch and Swinnerton-Dyer Conjecture Martin, Doina <p>I propose a novel approach to the Birch and Swinnerton-Dyer (BSD) Conjecture by interpreting elliptic curves as structured emergent space-time formations in the Collatz-Octave Model (COM). <br>I demonstrate that elliptic modular structuring naturally encodes the rank of elliptic curves and governs the emergence of space at quantum and cosmic scales. <br>Numerical computations confirm the relationship between rational points on elliptic curves and the behavior of their L-functions at \( s=1 \), providing further validation of the BSD Conjecture.</p> |
| title | Elliptic Curves as Emergent Space-Time in the Collatz-Octave Model and the Birch and Swinnerton-Dyer Conjecture |
| url | https://doi.org/10.5281/zenodo.14840891 |