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Birch and Swinnerton-Dyer Conjecture: A Proof via Holographic Information Theory

Year: 2026

Type: article

Abstract: We prove the Birch and Swinnerton-Dyer Conjecture by embedding elliptic curveswithin the Entropix MESA holographic framework. The key insight is that rationalpoints on an elliptic curve E/Q correspond to stable information states on the 2Dholographic screen, and the rank of the Mordell-Weil group measures the dimension ofthe free information subspace. We show that the L function L(E,s) is the partitionfunction over these states, and its order of vanishing at s = 1 equals the rank. Furthermore, we prove the finiteness of the Tate-Shafarevich group using the informationtheoretic ”Write Tax” mechanism

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.18644204

Author: Preschutti, Stanley

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7128922468

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