Towards a relativistic statistical theory

From Relativistic Mechanics towards Relativistic Statistical Mechanics

Till now, kinetic theory and statistical mechanics of either free or interacting point particles were well defined only in non-relativistic inertial frames in the absence of the long-range inertial forces present in accelerated frames. As shown in the introductory review at the relativistic level, only a relativistic kinetic theory of “world-lines” in inertial frames was known till recently due...

Towards a Statistical Theory of Clustering

The goal of this paper is to discuss statistical aspects of clustering in a framework where the data to be clustered has been sampled from some unknown probability distribution. Firstly, the clustering of the data set should reveal some structure of the underlying data rather than model artifacts due to the random sampling process. Secondly, the more sample points we have, the more reliable the...

Towards a Statistical Theory of Texture Evolution

Under standard processing conditions, many materials possess polycrystalline microstructures composed of a large number of small monocrystalline grains separated by grain boundaries. The energetics and connectivity of the grain boundaries network plays a crucial role in defining the properties of a material across a wide range of scales. A central problem in materials science is to develop tech...

A Statistical Derivation of Non-Relativistic Quantum Theory

Intrinsic Value: Towards A Pragmatic Theory

Intrinsic value is a concept central to the environmentalist movement. Whether one believes that natural objects have intrinsic value is supposed to determine whether one takes a ecocentric or homocentric approach to environmentalism, whether we practice deep or (merely) shallow ecology.  Yet this concept is also a center of controversy and confusion.  Just what does it mean for something to ha...