2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/34250A variation of Hawking's idea about Euclidean origin of a nonsingular birth of the Universe is considered. It is assumed that near to zero moment $t = 0$ fluctuations of a metric signature are possible.talk given at the NATO ARW "The Nature of Time : Geometry, Physics and perception", Tatranska Lomnica, Slovak RepublicGeneral Relativity and Quantum Cosmologytext