In Newtonian physics, if we know the state of the world at some moment of time, then we can precisely predict the state of the world at all future times. In this sense, Newtonian physics is deterministic. In modern physics (starting with quantum mechanics), theories are usually non-deterministic in the sense that even if we know exactly the initial state of the world, we cannot uniquely predict...

Noting that quantum measurements are in general incomplete, we develop, starting from a recent entropic formulation of uncertainty, a mazimum uncertainty principle to define the statistical mechanics of microscopic systems. The resulting ensemble entropy coincides with the expression of von Neumann, thus providing a unified, quantum basis for statistical physics of all systems. Examples involvi...

In this work an approach to investigate measurement uncertainty in coordinate metrology is presented, based on fitting Gaussian random fields high-density point clouds produced by repeats. The fitted field delivers a depiction of the spatial distribution error over part geometry, and can incorporate local bias information through further or with use external model obtain complete, map. statisti...