Theory of Gravitational‐Inertial Field of Universe. IV. The Universe and the Microcosm

On basis of principle of discreteness of the space and time the following relations are obtained Λ o M o c = 2πℏ, τ o E o = 2πℏ and c 2 = 2 GM o /Λ o giving the values of fundamental elements of length Λ o ≈ (ℏ G / c 3 ) 1/2 , mass M o ≈ (ℏ c / G ) 1/2 , time τ o ≈ (ℏ G / c 5 ) 1/2 and energy E o ≈ (ℏ c 5 / G ) 1/2 . The geon crown of any critical system and the crown of the Universe must have a thickness equal to the fundamental length Λ o = 2(πℏ G / c 3 ) 1/2 = 5.74. 10 −33 cm. Each critical system has its specific (most probable) quantum with an average invariant mass which in the case of the Universe is equal to (2π 2 ℏ H u / Gc ) 1/3 ≈ 300 m e where H u is Hubble's constant. There are all reasons to consider the universal virtual quanta of an invariant mass m u ≈ 300 m e as carriers of gravitational, electromagnetic and nuclear fields in the Universe.