Yo=(A2+ y2) 1! 2l, 1.> 0, and S is any space-or-lightlike submanifold of space-time R n+'.
The CT'S have natural symplectic structures covariant with respect to the Poincare group …

We propose to attempt, in this note and others to follow, an approach to the program
advocated by W~ EL~ R in his (~ Frontiers of Time,) and other papers (1). We shall begin by …

The positivity of the energy in relativistic quantum mechanics implies that wave functions can
be continued analytically to the forward tube T in complex spacetime. For Klein-Gordon …

In a previous work (1)(referred to as I in the sequel) a model was proposed which unifies QM
and GR by endowing the phase space of a one-particle system with a curvature, which …

HERE I wish to point out several curious facts concerning the geometric properties of
classical and quantum phase space. The first remark is that there is a way to prolong a …

From a mathematical standpoint, special relativity is the physics of Lorentz transformation,
and quantum mechanics is the physics of Fourier transformation. I It is easy to see, if not well …

Interest in quantum theory in curved space-time derives from a variety of sources. In
astrophysics and cosmology, one expects important quantum effects, such as the creation of …

The formulation of the generally covariant analog of standard (nonrelativistic) quantum
mechanics in a general Riemannian spacetime begun in earlier studies of the author is …

This is the first of the series of three papers which introduces complex space‐time to
describe physical phenomena. The objective of this generalization is twofold: firstly, to …

We examine the relationship between the mathematical structures of classical mechanics,
quantum mechanics, and special relativity, with a view toward building a consistent …