Torsional Resolution of the Birch–Swinnerton–Dyer Conjecture in the Megasphere Theory

A torsional–geometric model of elliptic curves where rational points are stable helicoidal modes, the order of vanishing of at equals the multiplicity of zero-energy torsional eigenmodes (the rank), and the BSD leading coefficient arises from geometric and topological invariants.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-10-17
DOI
https://doi.org/10.5281/zenodo.17386306
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
Field-Weighted Citation Impact
0.00
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article

Torsional Resolution of the Birch–Swinnerton–Dyer Conjecture in the Megasphere Theory

Zenodo (CERN European Organization for Nuclear Research)
Geometric Analysis and Curvature Flows
article

Torsional Resolution of the Birch–Swinnerton–Dyer Conjecture in the Megasphere Theory

article en

Abstract

A torsional–geometric model of elliptic curves where rational points are stable helicoidal modes, the order of vanishing of at equals the multiplicity of zero-energy torsional eigenmodes (the rank), and the BSD leading coefficient arises from geometric and topological invariants.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 35%
Geometric Analysis and Curvature Flows
DOIOpen Access PDFOpenAlex
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Torsional Resolution of the Birch–Swinnerton–Dyer Conjecture in the Megasphere Theory · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS