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The study aims to explore the underlying issues preventing the resolution of major mathematical problems like the Hodge Conjecture.

July 7, 2026Open Access

From the Zero-Dimensional Illusion to the Geometric Quantum: Rethinking the Hodge Conjecture and Other Problems Through the Infinitum

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The study aims to explore the underlying issues preventing the resolution of major mathematical problems like the Hodge Conjecture.
Analyzed foundational issues in mathematics related to the use of dimensionless points.
Proposed Δ-ontology as an alternative framework using structural quantum concepts.
Examined implications of rethinking mathematical primitives on unsolved problems.
Identified logical contradictions arising from the standard mathematical framework.
Proposed that these contradictions are dissolved within the new framework of Δ-ontology.
Demonstrated that the old mathematical problems become transparent or do not arise at all.

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Analysis reveals logical contradictions in mathematics, suggesting a new framework for unsolved problems.

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

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