The article gives the metric of the Schwarzschild black hole, consistent with the fact that the electromagnetic vacuum is unstable under its horizon. A similar metric was previously obtained in the author's work when studying the dynamics of a vortex. This metric is characterized by the absence of many familiar concepts intrinsic to hyperbolic space-time: light-like geodesics, light cone, etc. The thermodynamic aspect of this black hole model is also considered.
The model of low-energy quantum gravity leads to small additional effects having
essential cosmological consequences: redshifts of remote objects and the additional dimming of them
may be interpreted without any expansion of the Universe and without dark energy. The theoretical
luminosity distance of the model fits the observational Hubble diagrams with high confidence levels.
In the model, the ratio H(z)/(1 + z) should be equal to the Hubble constant. The constancy of
this ratio is confirmed with high probabilities by fitting the compilation of H(z) observations. A
deceleration of massive bodies due to forehead and backhead collisions with gravitons is re-computed
here.
The existence in a bounded region of a self-consistent plasma object is established by the
methods of non-local physics as a result of the solution of the Cauchy problem. The non-local theory
is created for mathematical modeling of plasmoids and ball lightnings. The solitons have the
character of the stable quantum objects in the self consistent electric field. Particularly these effects
can be considered as explanation of the existence of lightning balls. The delivered theory
demonstrates the great possibilities of the generalized quantum hydrodynamics in investigation of the
quantum solitons. The theory leads to solitons as typical formations in the generalized quantum
hydrodynamics. It is proved that all ball lightnings theories based on local description are wrong in
principle.
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