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Theoretical framework reveals a resolution to the Hodge Conjecture across complex projective varieties, suggesting topological cycles quantize into rational algebraic cycles.
This paper presents a formal resolution framework for the Hodge Conjecture by integrating Matthias Asare-Darko’s Big Boot Gauge Theory (BBGT) with a discrete K11complete graph matrix topology. By embedding complex projective varieties into octonionic ZIP space (OZIP) under the basic axiom X/0 = X, singularities are natively absorbed, and continuoustopological cycles are quantized into rational algebraic cycles via the Darkon HomotopyCorrector.
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Matthias Asare-Darko (2026) studied this question.
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