The Birth of the Universe as a Result of the Change of the Metric Signature

In this paper, I discuss the idea that birth of our Universe may be a result quantum transition from physical continuum with Euclidean signature to Lorentzian spacetime. A similar was expressed by Andrei D. Sakharov At classical level, studied George F. R. Ellis and his collaborators, who explored if solutions Einstein equation exist which admit change metric signature. The present paper aims at examining possible realizations level gravity, in framework Wheeler–DeWitt theory extended phase space approach quantization gravity. intend answer questions: Does Hartle–Hawking wave function imply such realization? How can realized where is described imposing special conditions on g00-component different regions continuum? conclusion formal mathematical point view, but it hardly help understanding how spacetime structure time itself appeared timeless continuum.