This book describes a relativistic quantum theory developed by the
author starting from the E.C.G. Stueckelberg approach proposed in the
early 40s. In this framework a universal invariant evolution parameter
(corresponding to the time originally postulated by Newton) is
introduced to describe dynamical evolution. This theory is able to
provide solutions for some of the fundamental problems encountered in
early attempts to construct a relativistic quantum theory. A
relativistically covariant construction is given for which particle
spins and angular momenta can be combined through the usual rotation
group Clebsch-Gordan coefficients. Solutions are defined for both the
classical and quantum two body bound state and scattering problems. The
recently developed quantum Lax-Phillips theory of semi group evolution
of resonant states is described. The experiment of Lindner and coworkers
on interference in time is discussed showing how the property of
coherence in time provides a simple understanding of the results. The
full gauge invariance of the Stueckelberg-Schroedinger equation results
in a 5D generalization of the usual gauge theories. A description of
this structure and some of its consequences for both Abelian and
non-Abelian fields are discussed. A review of the basic foundations of
relativistic classical and quantum statistical mechanics is also given.
The Bekenstein-Sanders construction for imbedding Milgrom's theory of
modified spacetime structure into general relativity as an alternative
to dark matter is also studied.
