  It is shown that, for a de Sitter Universe, the Hartle-Hawking (HH) wave
function can be obtained in a simple way starting from the
Friedmann-Lemaitre-Robertson-Walker (FLRW) line element of cosmological
equations. An oscillator having imaginary time is indeed derived starting from
the Hamiltonian obtaining the HH condition. This proposes again some crucial
matter on the meaning of complex time in cosmology. In order to overcome such
difficulties, we propose an interpretation of the HH framework based on de
Sitter Projective Holography.
