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Hodge Conjecture: A Proof via Holographic Information Theory

Year: 2026

Type: article

Abstract: We prove the Hodge Conjecture by embedding projective algebraic varieties withinthe Entropix MESA holographic framework. The key insight is that Hodge classescorrespond to coherent information patterns on the holographic screen, while algebraiccycles are the minimal entropy geometric configurations that realize these patterns.We show that the Write Tax mechanism forces every Hodge class to be algebraic, asnon algebraic representatives would require infinite information content

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.18644323

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: W7128913109

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