Problem detail · source-aware
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The arithmetic Kakeya conjecture asserts the infimum of sum-difference exponents is 1, which would imply the Kakeya conjecture in all dimensions. In the bounded-slope-count regime, Tao establishes that the exponents converge to 2 at a rate controlled by a new notion of rational complexity - mapping where the conjectured route cannot succeed.
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"Inspired by numerical explorations from the tool AlphaEvolve" - the tool's experiments pointed at the bounded-slope regime and its convergence behaviour; the theorems are Tao's.
Provider: Google DeepMind · Prompt public: unknown · Independence: unknown
No verification note supplied.
Correctness: unknown · statement fidelity: unaudited · peer review: none
Charts the bounded-slope regime of the arithmetic Kakeya program; the conjecture itself remains open.
Source-reported tools: argument.
Independent: unknown · difference confidence: 0
VibeMath has not independently audited the mathematical statement, proof, or novelty claim.