EXACT SCALE INVARIANCE IN THE ERA OF THE BIG BANG BEGINNING AS A PROBLEM OF FUNDAMENTAL PHYSICS

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Based on the ideas of E. Harrison and Ya.B. Zel’dovich, a hypothesis is formulated on the exact scale symmetry of the Universe in the era of the Big Bang beginning and on the cause of the Big Bang as a spontaneous violation of exact scale invariance. It is argued that this concept of exact scale symmetry is a challenge to modern concepts of fundamental physics in the mathematical, physical, cosmological, quantum-mechanical and metaphysical aspects. Each of the aspects is analyzed.