  A direct pathway from Hilbert's ``Foundation of Physics'' to Quantum Gravity
is established through Dirac's Hamiltonian reduction of General Relativity and
Bogoliubov's transformation by analogy with a similar pathway passed by QFT in
20th century. The cosmological scale factor appears on this pathway as a zero
mode of the momentum constraints treated as a global excitation of the Landau
superfluid liquid type. This approach would be considered as the foundation of
the well--known Lifshitz cosmological perturbation theory, if it did not
contain the double counting of the scale factor as an obstruction to the Dirac
Hamiltonian method. After avoiding this ``double counting'' the Hamiltonian
cosmological perturbation theory does not contain the time derivatives of
gravitational potentials that are responsible for the CMB ``primordial power
spectrum'' in the inflationary model.
  The Hilbert -- Dirac -- Bogoliubov Quantum Gravity gives us another
possibility to explain this ``spectrum'' and other topical problems of
cosmology by the cosmological creation of both universes and particles from
Bogoliubov's vacuum. We listed the set of theoretical and observational
arguments in favor of that the CMB radiation can be a final product of
primordial vector W-, Z- bosons cosmologically created from the vacuum when
their Compton length coincides with the universe horizon. The equations
describing longitudinal vector bosons in SM, in this case, are close to the
equations of the inflationary model used for description of the ``power
primordial spectrum'' of the CMB radiation.
