The Entropic Dynamics Approach to Quantum Mechanics

Explore the Entropic Dynamics (ED) approach to Quantum Mechanics in this comprehensive lecture by Prof. Ariel Caticha from SUNY Albany. Delve into the framework for reconstructing Quantum Mechanics using entropic methods of inference, starting with a clear distinction between ontic and epistemic variables. Learn how ED drives the dynamics of probability distribution through entropy, subject to constraints related to the wave function's phase. Discover the challenge of updating these constraints and the key ingredients involved: the natural symplectic structure and metric structure of the cotangent bundle associated with the probability simplex. Understand how preserving both structures leads to a Hamiltonian dynamics of probabilities, deriving the Schrödinger equation's linearity, complex structure emergence, Hilbert spaces, and the Born rule. Gain insights into ED as a conservative theory attributing definite ontic status to particles or fields and epistemic status to probabilities and wave functions, while denying the ontic status of dynamics and observables except position.