Hamiltonianism

Hamiltonianism is a framework in physics and mathematics that describes the evolution of a system using a specific function called the Hamiltonian. This function typically represents the total energy, including both kinetic (motion) and potential (position-based) energies. By applying Hamiltonian equations, one can predict how a system's position and momentum change over time, providing a powerful tool for understanding complex dynamic behavior. It's widely used in classical mechanics, quantum mechanics, and other fields to analyze systems ranging from particles to celestial bodies.