Origin of cosmological density perturbations from quantum fluctuations of vacuum in General Relativity
After 45 years since the discovery of quantum-gravitational birth of the cosmological density perturbations we can try to answer the main question of cosmology what is the origin of the Universe. This has become possible because the observational data are precise enough to build a physical model of the cascade relaxation of the gravitating vacuum as a generator of the evolving Universe. We present a model of the early Universe, which is inspired by the observational data in the spatial wavenumbers $k\in(2\cdot10^{-4}, 10)$ Mpc$^{-1}$ and does not require a solution of the Friedman equations. Based on observations we present a solution in the form of a vacuum attractor of General Relativity, which provides an additional power in the form of a ``bump'' and a blue spectrum of perturbations at $k>10\,$Mpc$^{-1}$. Extending the power spectrum to the scale of hundreds of kiloparsecs and less can solve the problems of the observed cosmology -- the appearance of the early star formation and supermassive black holes at $z>10$, the birth of primordial black holes, $Λ$CDM model, and others.