This article explores the Boltzmann brain hypothesis, the time-asymmetry of memory, and the second law of thermodynamics, formalizing their relationships within a time-symmetric, time-translation invariant Markov process framework. It disentangles these concepts to avoid circular reasoning and offers a novel formal approach to their investigation.
Entropy, once seen as a measure of disorder in physical systems, is now understood as a reflection of our ignorance and knowledge limitations. This evolving perspective links entropy to information theory and challenges traditional views of objectivity in science.
