Holography and the future tube

The future tube T-n(+) of n-dimensional Minkowski :spacetime may be identif ied with the reduced phase space P, or 'space of motions' of a particle mov ing in (n + 1)-dimensional antide Sitter spacetime. Both are isomorphic to a homogeneous bounded domain in C-n whose Shilov boundary may be identified with n-dimensional conformally compactified Minkowski spacetime.