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Theoretical analysis demonstrates a proof of the Hodge Conjecture using information preservation principles, suggesting algebraic cycles persist through transformations.
This study presents a demonstration of the Hodge Conjecture based on the Principle of Minimal Information Preservation. The approach shows that an algebraic cycle can lose part of its identity during a transformation while remaining associated with a combination of algebraic cycles. It also shows that a transformation can reduce the available information while preserving the coordinates necessary to maintain a Hodge class within an algebraic representation.
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Ahmadou Moustapha Diao (2026) studied this question.
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