A New Approach To Quantum Theory: The Central Role Of Probability (Series on the Foundations of Natural Science and Technology)

This book presents an advanced-level reorganization of the probability theory of quantum theory based on multiple quantum events in terms of consecutive and conditional probability. This leads to the recognition that the fundamental quantum time evolution equation is the Generalized Born's Rule instead of the Schrödinger equation, which has a valid, though secondary, role in one model of the axioms of quantum theory. That model is usually called the Schrödinger picture. So, this approach is fully consistent with textbook quantum theory. This new approach clarifies the 'paradoxes' in quantum theory of entanglement and collapse. There are few references to classical physics, given that this is a new stand-alone axiomatic presentation of quantum theory. Notice that this is not an 'interpretation' of quantum theory as that word is usually understood. The intended audience consists of scientists, philosophers and students who preferably have some previous knowledge of quantum theory.

Stephen Bruce Sontz is presently employed as a research professor at the Centro de Investigación en Matemáticas, AC (Center for Research in Mathematics) in Guanajuato, Mexico. He holds a PhD in Mathematics from the University of Virginia, specializing in mathematical physics, and a PhD in Physics from Northwestern University. Having a specialized interest in mathematical physics, with an emphasis on theories and problems related to quantum mechanics, he has published research papers in quantum theory and in non-commutative geometry, as well as three textbooks.