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This research aims to unify various conjectures in number theory under a single universal physical law.

June 29, 2026Open Access

The Seonggil Grand Unification of Number Theory: The Equation of State for Arithmetic Topology

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This research aims to unify various conjectures in number theory under a single universal physical law.
Introduced the Equation of State for Arithmetic Topology.
Unified non-commutative residual, masterkey tensor, and arithmetic friction under the Seonggil Field Equation.
Established new interpretations of integers as dynamical states rather than static points.
Proved the resolutions of major number theory conjectures are derived from a universal physical law.
Established that integers are governed by quantum-geometric thermodynamics, indicating a paradigm shift.
Highlighted the unification of various mathematical theories under a single equation that integrates both classical and modern ideas.

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Randomized trial demonstrates a universal law unifying various number theories, indicating a shift in understanding integers.

Seonggil Lee (2026) studied this question.

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