Notes on QFT in Curved Backgrounds (Draft) Abstract These notes survey the development of quantum field theory in curved spacetime (QFTCS), from the early covariance questions raised by DeWitt in...

Notes on Probability, Information, & Risk (Draft) Abstract Research notes are provided concerning three interconnected subjects—probability, information, and risk—that together form a cohere...

Notes on Statistical Fields (Draft) Abstract These notes provide a guided tour through the literature on nonequilibrium quantum field theory, organized as an escalating progression from equilibriu...

Notes on Koopman von Neumann Mechanics (Draft) Abstract These notes provide a guide to the literature on Koopman–von Neumann (KvN) mechanics and its extensions, organized around three interconnect...

The three chapters that constitute Part III of Projects in Scientific Computing survey the literature of numerical relativity and black hole physics from a perspective that completes the arc begun ...

Notes on Path Integals (Draft) Abstract These notes survey the theory of Feynman path integrals through the lens of a specific organizing thesis: that path integrals are not uniquely defined witho...

Notes on Black holes (Draft) “The black holes of nature are the most perfect macroscopic objects there are in the universe: the only elements in their construction are our concepts of space and...

Notes on Renormalization (Draft) Abstract Renormalization of the effective potential is considered using autonomous and perturbative conventions. The primary focus of attention is the triviality of...

Notes on Scientific Computing (Draft) Abstract These notes survey the literature of scientific computing across six domains: the mathematical foundations of applied mathematics, numerical analy...

Notes on Stochastic Calculus (Draft) Abstract The following notes survey stochastic calculus from the perspective of a physicist working at the interface of computational methods and mathematical...