In standard quantum field theory, where free quanta have only positive energy, the antiparticle operators were introduced “manually” and this led to the diverging zero-point energy, which meant the inconsistency of the theory. In the Stueckelberg-Feynman (SF) treatment the positive-energy antiparticles are de…
After the discovery of the slow growth of loop corrections with cutoff energy and the possibility of renormalization of the Lagrangians, the main unsolved problem of quantum field theory remained ultraviolet divergences, and the long search for a physical mechanism making regularization finite was unsuccessfu…
On the basis of the observational fact that a wave packet, describing the localized ensemble of micro-objects, spreads according to the diffusion law, the quantum equivalence principle is formulated, that the motion of the ensemble of quantum objects is equivalent to the diffusion of the ensemble of classical…
In the diffusion quantum mechanics (DQM) described in the first paper, the conservative diffusion of classical particles in a background field with a uniform energy density leads to the formalism of quantum mechanics. DQM provides a physical explanation for two fundamental facts - fluctuations in the energy o…
The diffusion treatment of quantum mechanics and gravity described in the previous two papers was based on the fact of the existence of a background field whose energy density determines the rate of quantum fluctuations, i.e. the rate of proper times, and gravity is a local deficit of this energy density. In…
As a star collapses, positions of its particles, as for any extended object, must be set on the hypersurfaces of simultaneity t = const., marked by world time moments t, i.e. ordinary astronomical time around a star. Then the surface of a dust star freezes over its gravitational radius and such asymptotic beh…
The Oppenheimer-Snyder (OS) solution of the Einstein equations for a homogeneous dust star at a parabolic velocity (k = 0), as well as the solution for elliptic velocity (k = + 1), obtained by O. Klein and S. Weinberg by two other methods, describe the collapse in the Schwarzschild coordinates r, t. In the pa…
In static space, the redshift of photons from the receding sources is related by the Doppler effect. In the expanding space, the sources in our rest frame emit without the Doppler redshift, but along the path wavelengths of photons will experience a redshift due to stretching. Photons from the comoving the ex…
In quantum and gravitational physics, a large set of fundamental problems have accumulated over the past hundred years, which shows the incompleteness of the formation of basic theories. In the paper solutions a number of such problems, presented by the author recently, is reviewed. Unlike other hypothesis-ba…
Special and general theories of relativity consist in describing both local and global phenomena - the first in flat, and the second in curved spacetime. In the paper it is shown that each of these two classes of relativistic effects, local and global, is universal and is the subject of a separate theory. Fir…