Quantum Chaos of Arithmetic Origin: Deterministic L-function Jacobi Hamiltonians Exhibiting Wigner-Dyson Statistics Without Disorder or Classical Chaos
Abstract
A deterministic, zero-free-parameter, fully reproducible 50x50 Jacobi Hamiltonian derived from moments of completed L-functions (Riemann xi, Dirichlet beta, Ramanujan delta) exhibits Wigner-Dyson level statistics, quantum-chaotic wave-packet dynamics, and L-function-specific interference fingerprints — without disorder or classical chaos. Supplementary online resources (interactive visualization, Chinese popular-science version, reviewer-response page, latest typeset PDF) are linked under Related identifiers.
Fields of Study & Subjects
Quantum chaos and dynamical systems
Advanced Algebra and Geometry
Spectral Theory in Mathematical Physics
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 31 August 2026
- Document type
- Preprint