Authors: Arkadiusz Jadczyk
Using the standard Cayley transform and elementary tools it is reiterated
that the conformal compactification of the Minkowski space involves
not only the "cone at infinity" but also the 2-sphere that is at the base of
this cone. We represent this 2-sphere by two additionally marked points
on the Penrose diagram for the compactified Minkowski space. Lacks and
omissions in the existing literature are described, Penrose diagrams are
derived for both, simple compactification and its double covering space,
which is discussed in some detail using both the U(2) approach and the exterior
and Clifford algebra methods. Using the Hodge ☆ operator twistors
(i.e. vectors of the pseudo-Hermitian space H
Comments: 38 pages
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