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.
General
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