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This work seeks to understand why key mathematical conjectures remain unsolved by identifying fundamental flaws in mathematical foundations.

July 7, 2026Open Access

Why the Hodge Conjecture (and Others) Remained Unsolved for 100 Years: A View from Δ‑Ontology

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This work seeks to understand why key mathematical conjectures remain unsolved by identifying fundamental flaws in mathematical foundations.
Analyzes the limitations of using point-like structures in mathematics.
Explores interdisciplinary connections between neuroscience, physics, and mathematics.
Introduces Δ-ontology with the Infinitum as a primary geometric object.
Reinterprets the Hodge Conjecture as a result of number structure.
Reveals connections between the critical line of the Riemann zeta function and the Pythagorean theorem.
Links the intractability of P vs NP to prime-number structure.

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Interdisciplinary analysis reveals foundational flaws in mathematics impacting key conjectures.

Alexey (KAMAZ) Petrov (2026) studied this question.

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