General relativity and the standard model in scale-invariant variables

General Relativity and Standard Model are formulated in terms of scale-invariant variables where the initial data are integrals of motion. In this case, the Hubble law can be explained by a cosmological evolution of particle masses. Supernovae type Ia data and the CMB energy budget in the model are in agreement with the dominance of a scalar field kinetic energy density and an intensive cosmological creation of primordialW, Z, and Higgs bosons from vacuum. Some arguments are discussed testifying to that two-photon processes of primordial particle annihilation and decays form three peaks in the CMB power spectrum, and their values and positions ℓ = 220, 546, 800 are in agreement with the QED coupling constant, Weinberg's angle, and the Higgs particle mass of about 118 GeV. © Pleiades Publishing, Ltd., 2009.