The problem of Initial Data in Cosmology and Conformal General Relativity

The problem of initial data in cosmology and general relativity is considered by analogy with the Cauchy problem in Newton mechanics where initial data reveal the Galilei symmetry of physical laws, i.e., equations of motion. We list a set of theoretical and observational arguments (including the latest Supernova data, primordial nucleosynthesis, CMB-temperature, and baryon asymmetry) in favour of conformal symmetry of physical laws in a unified field theory of all interactions, where all dimensional parameters are hidden in masses treated as a scalar (dilaton) field