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This work explores why major mathematical problems like the Hodge Conjecture have remained unsolved for over a century.

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 explores why major mathematical problems like the Hodge Conjecture have remained unsolved for over a century.
Analyzed the foundational structures of mathematics, particularly the use of dimensionless points.
Utilized insights from neuroscience and physics to propose Δ-ontology as a new framework.
Investigated the implications of a geometrically structured foundational unit, the Infinitum.
The Hodge Conjecture is positioned as a tautological outcome of number mosaic structures.
The critical line of the Riemann zeta function is interpreted through the lens of the Pythagorean theorem.
The difficulty of the P vs NP problem is linked to the complex structure of prime-number mosaics.

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This interdisciplinary analysis reveals the structural flaws in mathematics and invites a unified approach involving geometry and perception.

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

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This interdisciplinary analysis reveals the structural flaws in mathematics and invites a unified approach involving geometry and perception.