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Zahid Zakir

Publications and source records attributed to Zahid Zakir.

At least 19 recordsLinked to original sources
arXiv2014

One a topological secret of gravity and its surprises for astrophysics, cosmology and particle physics

It is argued that the surface radius of a compact source can not be less than its gravitational radius due to the strong gravitational time dilation effects. The such "topological" difference between the Newtonian and relativistic gravity leads to the known observable effects. The hierarchy of supercompact stars, more massive than neutron stars, such as heavy baryon, quark (subquark?) and other heavy particle stars is predicted instead of the black holes. The lack of the cosmological singularity and a gravitational nature of the regularizations of loop divergencies in quantum field theory are also discussed.

physics.gen-ph↗
arXiv2014

General relativity as a complete theory and its new consequences

The strong proper time dilation and radial contraction in the gravitational field of compact sources leads to a frozen state of matter. It is shown that the falling particles and photons can not cross the gravitational radius due to the freezing, the horizon and singularity can not be formed at any finite coordinate time moment t=const. As the result, general relativity really predicts the heavy baryonic and quark stars and quasars instead of the black holes. A model of the oscillating Universe without a cosmological singularity, having a new type of the cosmological redshift, is considered. The regularizations of loop divergencies in quantum field theory also can be explained as the gravitational effects.

physics.gen-ph↗
arXiv2014

Comoving to expansion Newtonian potential of galaxies and clusters instead of dark matter

Stretching of the Newtonian potential (NP) at early epochs is investigated and it is shown that observed effects, usually ascribed to a dark matter, can by explained by such stretching only. Increasing by time radius of the gravitationally-bound region (GBR) and conservation of gravitational energy lead to a new scenario in which values of NP in expanding volume are maintained, while in physical volume are stretched. Really, the energy conservation in expanding volume requires for NP values to be comoving to the expanding shells. In addition, the radius of gravitationally-bound region increases by time due to decreasing of expansion velocity and different shells around galaxy cease expansion at different times. Thus, as far a shell placed from galaxy, as longer it was expanded and thickened, while potential difference on its boundaries remained unchanged. This shifts the values of NP around galaxy proportional to the distance r and, as the result, the gravitational acceleration, from NP's $1/r^2$ dependence, turned to 1/r dependence, as for centrifugal acceleration. This fact naturally explains the known empirical facts, such as flatness of rotation curves and velocity-mass relationships for galaxies and velocity dispersion in clusters.

physics.gen-ph↗
arXiv2012

Models of soft rotators and the theory of a harmonic rotator

The states of a planar oscillator are separated to a vibrational mode, containing a zero-point energy, and a rotational mode without the zero-point energy, but having a conserved angular momentum. On the basis of the analysis of properties of models of rigid and semirigid rotators, the theory of soft rotators is formulated where the harmonic attractive force is balanced only by the centrifugal force. As examples a Coulomb rotator (the Bohr model) and a magneto-harmonic rotator (the Fock-Landau levels) are considered. Disappearance of the radial speed in the model of a magneto-harmonic rotator is taken as a defining property of a pure rotational motion in the harmonic potential. After the exception of energies of the magnetic and spin decompositions, specific to magnetic fields, one turns to a simple and general model of a planar harmonic rotator (circular oscillator without radial speed) where kinetic energy is reduced to the purely rotational energy. Energy levels of the harmonic rotator have the same frequency and are twice degenerate, the energy spectrum is equidistant. In the ground state there is no zero-point energy from rotational modes, and the zero-point energy of vibrational modes can be compensated by spin effects or symmetries of the system. In this case the operators of observables vanish the ground state, i.e. are "strongly" normally ordered. In a chain of harmonic rotators collective rotations around a common axis lead to transverse waves, at quantization of which there appear quasi-particles and holes carrying an angular momentum. In the chain SU(2) appears as a group of symmetry of a rotator.

physics.gen-ph↗
arXiv2007

General Relativity Constraints the Proper Times and Predicts the Frozen Stars Instead of the Black Holes

In a static gravitational field an intersection of a worldline by a global hypersurface of simultaneity t=const gives an invariant constraint relating the proper time of this event by t. Since at any finite t the such constrained proper time intervals are less than reqiured for crossing a horizon, general relativity predicts the gravitational freezing of proper times in stars with time-like or null geodesics everywhere. The time dilation stabilizes contracting massive stars by freezing, which is maximal but finite at the centre, and the surface is frozen near the gravitational radius. The frozen stars (frozars) slowly defrost due to emissions and external interactions, the internal phase transitions can initiate refreezing with bursts and explosions.

physics.gen-ph↗
arXiv2007

C-symmetric quantization of fields leading to a natural normal ordering

At the quantization of fields, due to the non-linear character of the time reversal, the creation-annihilation operators for the negative frequency modes should be replaced to the operators of antiparticles not directly in the field operators, but in the operator products. For the standard minimal Lagrangians (asymmetrical under the complex conjugated fields) it is shown that the charge conjugation (C-) symmetry conditions for the Hamiltonian and the charge operator lead to the identities for the operator products allowing one to replace the negative frequency operator products to the positive frequency ones. At the same time the operators in observables become normal ordered and the zero-point energy does not appear. Only the symmetrized under the field operators Lagrangians lead to the zero-point energy. The confrontation by the experiments of the such C-symmetric quantization of fields and the solution some of the vacuum energy problems are discussed.

physics.gen-ph↗
arXiv2003

The Theory of Stochastic Space-Time. 1. Gravitation as a Quantum Diffusion

The Nelson stochastic mechanics of inhomogeneous quantum diffusion in flat spacetime with a tensor of diffusion can be described as a homogeneous one in a Riemannian manifold where this tensor of diffusion plays the role of a metric tensor. It is shown that the such diffusion accelerates both a sample particle and a local frame such that their mean accelerations do not depend on their masses. This fact, explaining the principle of equivalence, allows one to represent the curvature and gravitation as consequences of the quantum fluctuations. In this diffusional treatment of gravitation it can be naturally explained the fact that the energy density of the instantaneous Newtonian interaction is negative defined.

hep-th↗
arXiv2003

Gravitation as a Quantum Diffusion

Inhomogeneous Nelson's diffusion in flat spacetime with a tensor of diffusion can be described as a homogeneous one in a Riemannian manifold with this tensor of diffusion as a metric tensor. The influence of matter to the energy density of the stochastic background (vacuum) is considered. It is shown that gravitation can be represented as inhomogeneity of the quantum diffusion, the Einstein equations for the metrics can be derived as the equations for the corresponding tensor of diffusion.

gr-qc↗
arXiv2003

The Theory of Stochastic Space-Time. II. Quantum Theory of Relativity

The Nelson stochastic mechanics is derived as a consequence of the basic physical principles such as the principle of relativity of observations and the invariance of the action quantum. The unitary group of quantum mechanics is represented as the transformations of the systems of perturbing devices. It is argued that the physical spacetime has a stochastic nature, and that quantum mechanics in Nelson's formulation correctly describes this stochasticity.

hep-th↗
arXiv2003

Thermostring Quantization. An Interpretation of Strings as Particles at a Finite Temperature

An instantaneous temperature path of a point particle in the space - temperature manifold can be represented as a string of length L=1/kT (thermostring). The thermostring swepts a surface in the space-time-temperature manyfold at its temporal evolution. The thermostring is closed, its points can be rearranged and the charge is distributed along the length. Some consequences of this method for statistical mechanics and string theories are discussed.

hep-th↗