As our first concrete step we have identified
boundary fields on de Sitter for scalar fields of various masses
in terms of the irreducible representations of the (d+1)-dimensional de Sitter symmetry group SO(d+1,1).
One can think of these irreducible representations as particles of a de Sitter Universe. Here is an arxiv preprint of our work so far.
Milestone 1: Operators at the late time boundary of de Sitter