Scaling is a mathematical transformation that enlarges or diminishes objects. The technique is used in a variety of areas, including finance and image processing. This book is organized around the notions of scaling phenomena and scale invariance. The various stochastic models commonly used to describe scaling ? self-similarity, long-range...

This book provides a concise introduction to the mathematical aspects of the origin, structure and evolution of the universe. The book begins with a brief overview of observational and theoretical cosmology, along with a short introduction of general relativity. It then goes on to discuss Friedmann models, the Hubble constant and deceleration...

Albert Einstein was one of the principal founders of the quantum and relativity theories. Until 1925, when the Bose-Einstein statistics was discovered, he made great contributions to the foundations of quantum theory. However, after the discovery of quantum mechanics by Heisenberg and wave mechanics by Schrodinger, with the consequent...

By any measure, the Pythagorean theorem is the most famous statement in all of mathematics, one remembered from high school geometry class by even the most math-phobic students. Well over four hundred proofs are known to exist, including ones by a twelve-year-old Einstein, a young blind girl, Leonardo da Vinci, and a future president of the...

Space is a central topic in cultural and narrative theory today, although in most cases theory assumes Newtonian absolute space. However, the idea of a universal homogeneous space is now obsolete. Black holes, multiple dimensions, quantum entanglement, and spatio-temporal distortions of relativity have passed into culture at large. This book...

The Physical Nature of Consciousness contains twelve chapters that discuss recent and new perspectives on the relation between modern physics and consciousness.
Stuart Hameroff opens with an extended and updated exposition of the Penrose/Hameroff Orch-OR model, and subsequently addresses recent criticisms of quantum approaches...

Le Verrier was a superb scientist. His discovery of Neptune in 1846 made him the most famous...

Ever since Einstein’s special relativity in 1905, the principle of invariant light speed in vacuum has been attracting attention from a wide range of disciplines. How to interpret the principle of light speed? Is light referred to continuous light, or light pulse with definite boundaries? Recent discovery of superluminal medium...

This Oxford Handbook provides an overview of many of the topics that currently engage philosophers of physics. It surveys new issues and the problems that have become a focus of attention in recent years. It also provides up-to-date discussions of the still very important problems that dominated the field in the past.

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