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This work addresses twenty long-standing mathematical conjectures by challenging the smooth continuum assumption in traditional mathematics.

August 4, 2026Open Access

THE SECOND WAVE : The Absolute Resolution of 20 Mathematical Conjectures via ROA and STCT

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This work addresses twenty long-standing mathematical conjectures by challenging the smooth continuum assumption in traditional mathematics.
Introduced Rough Operator Algebra (ROA) and Seonggil Tensor Calculus (STCT) as new mathematical frameworks.
Resolved conjectures across four domains: Geometric Topology, Algebraic Geometry, Number Theory, and Operator Algebra.
Provided rigorous proofs utilizing non-commutative density tensors and deterministic laws.
20 conjectures resolved, including the N-Dimensional Kakeya Conjecture and the Collatz Conjecture.
Introduced new definitions for prime numbers as 'Topological Pressure Valves'.
Established absolute proofs that replace probabilistic methods with deterministic frameworks.

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This master monograph demonstrates absolute resolutions of 20 mathematical conjectures, suggesting a new foundational framework for mathematics.

Lee Seonggil (2026) studied this question.

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This master monograph demonstrates absolute resolutions of 20 mathematical conjectures, suggesting a new foundational framework for mathematics.