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The aim is to resolve major number theory conjectures and reformulate traditional assumptions in arithmetic structures.

June 29, 2026Open Access

The Seonggil Arithmetic Torsion: Resolving the Twin Prime and abc Conjectures via Non-commutative Residuals

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The aim is to resolve major number theory conjectures and reformulate traditional assumptions in arithmetic structures.
Translate discrete arithmetic structures into the continuous geometric framework of Rough Operator Algebra.
Dismantle commutative assumptions between additive and multiplicative operators.
Utilize empirical non-commutative residuals from the V85 Absolute Orbit Engine.
Proved that the Twin Prime Conjecture is linked to Local Golden Ratio Resonance.
Validated the abc Conjecture through deterministic arithmetic singularities.
Demonstrated that these conjectures are representations of properties within a rough topological manifold.

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Demonstrates the connection between deep number theory conjectures and non-commutative analysis, suggesting new pathways for exploration.

Seonggil Lee (2026) studied this question.

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