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The paper investigates why prominent mathematical problems remain unsolved, proposing a foundational rethinking.

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 paper investigates why prominent mathematical problems remain unsolved, proposing a foundational rethinking.
Analyzing the inherent contradictions in current mathematical frameworks.
Introducing Δ-ontology and the concept of the structural quantum.
Evaluating how these concepts may offer clarity on long-standing issues.
Identified logical contradictions in the use of dimensionless points in mathematics.
Proposed the structural quantum as a means to resolve these contradictions.
Demonstrated that traditional problems either do not arise or become clearer within this framework.

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The analysis explores unaddressed contradictions in mathematics, suggesting structural quantum solutions for enduring problems.

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

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