Number-Theory | Sebastian Spicker

2024

1 article

18 Nov 2024 Primes Are Energy Levels: The Montgomery-Odlyzko Conjecture In October 2024, the largest known prime was announced — 41 million digits, found by a GPU-assisted GIMPS search. But the deepest prime story is not about record-breaking numbers. It is about a 1972 teatime conversation at the Institute for Advanced Study, a pair correlation formula, and the suspicion — numerically confirmed to extraordinary precision — that the zeros of the Riemann zeta function are the energy levels of an undiscovered quantum system. mathematicsnumber-theoryquantum-chaos

2022

1 article

8 Nov 2022 Spiral Out: Tool’s Lateralus, the Fibonacci Sequence, and the Mathematics of Musical Structure Alongside physics and astronomy, two other things have occupied an unreasonable share of my attention since adolescence: mathematics and music. Lateralus by Tool — released 2001, still in rotation — is the piece that most conspicuously occupies the intersection. The song is frequently analysed through Fibonacci numbers, including reported lyric counts and a 9/8–8/8–7/8 metre grouping. This post separates checked arithmetic from listening analysis and authorial interpretation. musicmathematicsfibonacci