Despite its successes, the large-N holographic dictionary remains incomplete. Key features of gravitational path integrals--most notably Euclidean wormholes and the associated failure of factorization ...

A US Virginia-class attack submarine during sea trials in the Atlantic Ocean. US Navy courtesy of General Dynamics Electric Boat For over a century, the ocean has been the ultimate refuge for those ...

Abstract. Heisenberg reinvented matrices while discovering quantum mechanics, and the algebra generated by annihilation and creation operators obeying the canonical commutation relations was named ...

The “butterfly effect” causes the beating of an insect wing to change history, but how does this phenomenon manifest itself at the quantum level of chemical reactions, where atoms and electrons move ...

The BUQEYE collaboration (Bayesian Uncertainty Quantification: Errors in Your effective field theory) presents a pedagogical introduction to projection-based, reduced-order emulators for applications ...

Conservation laws are some of the most important laws of physics. Having their origin in the symmetries of nature, conservation laws are present in all our physical theories. There are, however, ...

Gradient and divergence are the basis of electromagnetic field theory, and have been a special difficulty in mathematical theory. Understanding these concepts requires strong spatial and abstract ...

Without wasting time and effort on philosophical justifications and implications, we write down the conditions for the Hamiltonian of a quantum system for rendering it mathematically equivalent to a ...