TITLE:
On Separation between Metric Observers in Segal’s Compact Cosmos
AUTHORS:
Alexander Levichev, Andrey Palyanov
KEYWORDS:
Separation between Spacetimes, Segal’s Universal Cosmos, Conformal Group Action on U(2), DLF-Theory
JOURNAL NAME:
Journal of Modern Physics,
Vol.6 No.14,
November
17,
2015
ABSTRACT: A certain class K of GR homogeneous spacetimes is considered. For each pair E, of spacetimes from K, where conformal transformation g is from . Each E (being or its double cover, as a manifold) is interpreted as related to an observer in Segal’s universal cosmos. The definition of separation d between E and is based on the integration of the conformal factor of the transformation g. The integration is carried out separately over each region where the conformal factor is no less than 1 (or no greater than 1). Certain properties of are proven; examples are considered; and possible directions of further research are indicated.