MED SCI TH Thomas Krause What a Geometric Prime Machine Says About the Wall in Classical Number Theory A structural diagnosis of why Goldbach, Polignac, and the HL constellations remain open — and why the twin prime constant does not
SCI XX Xxjohxx A Strange Statistical Pattern Inside the Collatz Conjecture The Collatz conjecture is famous for being easy to state and incredibly difficult to understand.
SCI SPR UE Ueoka Yoshiki # I Think I Finally Closed a Gap in My High-\(\mu\) Descent Argument for the Collatz Conjecture I have been working on the Collatz conjecture from a structural point of view rather than the usual point-by-point iteration of integers…
MKT UE Ueoka Yoshiki Macro Integer Theory: A Statistical-Mechanical Lens on Integer Dynamics Why Collatz is only one example — and why symmetry matters
MKT HUM SCI UE Ueoka Yoshiki Integer Dynamics × Statistical Mechanics: Toward “Macro Number Theory” (with Collatz as a Test… 0. A brief note from the author