👉 Observer math, also known as observer theory or observer calculus, is a mathematical framework that generalizes classical calculus by focusing on the properties of observables and their evolution over time, rather than just the values they take. It uses a set of mathematical objects called observables, which are linear operators acting on a Hilbert space, and an observer or evolution operator that describes how these observables change. The core idea is to study the dynamics of physical systems through the lens of these observables, emphasizing their time evolution and the measurement process. This approach is particularly useful in quantum mechanics, where it provides a rigorous way to handle the probabilistic nature of quantum states and measurements, offering insights into the behavior of systems at a fundamental level.
