Theory of Spectral Systems
A framework that analyses systems in terms of their spectral properties – the range of frequencies, scales, or modes in which they operate. A system may behave differently at different frequencies (e.g., a market with daily noise and long‑term trends) or different scales (quantum vs. classical). Spectral systems theory uses tools from signal processing and harmonic analysis to decompose complex behaviour into its component frequencies. It is particularly useful for understanding systems with multiple, simultaneous rhythms.
Example: “The economy has high‑frequency fluctuations (daily trades) and low‑frequency cycles (decades). The theory of spectral systems separates these scales to analyse each.”
Theory of Spectral Systems by Abzugal May 22, 2026