This paper presents a von-Neumann-like photonic processor based on temporal-mode encoding and a looped structure. This architecture achieves multimode-universal programmability, resource efficiency, phase stability, and software scalability. The processor's capabilities are demonstrated by investigating the quantum signature of chaos through two programs: one analyzing phase space behavior (13 modes), and another quantitatively studying the Fermi golden rule (26 modes). The architecture is considered a promising candidate for real-world applications.
