July 31, 2014

1.A review of the theory of conservative diffusionis presented. Quantum phenomena and gravitation are treated as conservative diffusion and thermodiffusion in the fluctuating physical vacuum.

Z. Zakir (2014) Conservative Diffusion as a Physical Mechanism for Quantum Mechanics and Gravitation.

TPAC, 9, 2, p. 54 – 72, doi: 10.9751/TPAC. 4960-038

2. The effect of stretching of gravitational potential due to field’s energy conservation in expanding volume is discovered, which without dark matter explains rotation curves of galaxies and velocity dispersion in galaxy clusters.

Z. Zakir (2014) Comoving to expansion Newtonian potential of galaxies and clusters instead of dark matter.

TPAC, 9, 2, p. 73 – 77, doi:10.9751/TPAC.4960-039

May 6, 2014

The theory of new, conserving energy, diffusion is formulated and an interpretation of quantum mechanics as describing such diffusion in vacuum is proposed 

Z. Zakir (2014) Theory of conservative diffusion in classical and quantum systems.

TPAC, 9, 1, p. 18 – 32, doi: 10.9751/TPAC.4874-036

The theory of conservative thermodiffusion is formulated and an interpretation of gravitation as such thermodiffusion in vacuum is proposed

Z. Zakir (2014) Gravitation as a thermodiffusion in the physical vacuum.

TPAC, 9, 1, p. 33 – 53, doi: 10.9751/TPAC.4874-037

The redshift stasis and luminosity amplification effects for radiation crossed galaxy clusters are described and the data for supernovae and CMB are revised 

Z. Zakir (2014) New effects in cosmology: frequency and intensity stasis for radiation crossed galaxy clusters.

TPAC, 9, 1, p. 5 – 17, doi: 10.9751/TPAC.4874-035

5D closed model obeying the local energy conservation condition, also leading to the model of  “Miniverse”, is formulated

Z. Zakir (2014) A model of the closed universe gravitating in 4-space.

TPAC, 9, 1, p. 1 – 4, doi: 10.9751/TPAС.4874-034

November 13, 2013 

An improved version of the Friedmann closed model obeying the local energy conservation condition is proposed and a model of  “Miniverse” is discovered 

Z. Zakir (2013) Models of the Universe with strongly conserved energy of matter. 

TPAC, 8, 3, p. 67 – 74, doi: 10.9751/TPAC.4700-033

The crystallization without merging of systems of gravitationally frozen objects is discovered

Z. Zakir (2013) On the theory of relativistic collapse and relativistic explosion. 

3. The frozar and frozon crystallizations.

TPAC, 8, 3, p. 62 – 66, doi: 10.9751/TPAС.4700-032

May 15, 2013

New version of the closed model with relativistic redshift and aberration are proposed

Z. Zakir (2013) The closed model of the universe with relativistic redshift

TPAC, 8, 2, p. 24 – 36, doi: 10.9751/TPAC.4518-030

Z. Zakir (2013) The closed model of the universe with relativistic effects of extra dimension.

TPAC, 8, 2, p. 37 – 61, doi:  10.9751/TPAC.4518-031

April 15, 2013 

New observable effects in cosmology for radiation crossed galaxy clusters are discovered and the data for supernovae and CMB are revised

Z. Zakir (2013) Redshift stasis of photons at crossing the gravitationally-bound regions revises the supernovae data,

TPAC, 8, 1, p. 1 – 6, doi: 10.9751/TPAC.4488-027

Z. Zakir (2013) The frequency and intensity stasis effects for radiation crossed galaxy clusters.

1. Localized sources.

TPAC, 8, 1, p. 7 – 15, doi: 10.9751/TPAC.4488-028

2. Isotropy and anisotropy of CMB. 

TPAC, 8, 1, p. 16 – 23, doi: 10.9751/TPAC.4488-029


The theory of relativistic collapse with formation of gravitationally-frozen objects – frozars (frozen stars) and frozons (frozen quanta) is formulated and also the theory of quasistable states – glowsars, which can explode relativistically, is proposed

Z. Zakir (2012) On the theory of relativistic collapse and relativistic explosion.

1. Collapse without horizon and formation of frozars.

TPAC, 7, 1, p. 1 – 13, doi: 10.9751/TPAC.4100-024

2. Quasistable states as glowsars and bursts at recollapse.

TPAC, 7, 1, p. 14 – 20, doi: 10.9751/TPAC.4100-025

Z. Zakir (2012) Dialogues about a fate of stars: from black holes to frozars

TPAC, 7, 2, p. 21 – 37, doi: 10.9751/TPAC.4200-026


The theory of a harmonic rotator is formulated and on its basis the method of rotatory quantization of particles and fields, not containing the zero-point vacuum energy, is proposed

Z. Zakir (2011) Models of soft rotators and the theory of a harmonic rotator

TPAC, 6, 1, p. 1 – 13, doi: 10.9751/TPAC.3800-020

Z. Zakir (2011) Rotatory quantization of charge-conjugation symmetric systems.

1. Harmonic oscillators.

TPAC, 6, 1, p. 14 – 30, doi: 10.9751/TPAC.3900-021

2. Harmonic and magneto-harmonic rotators. 

TPAC, 6, 1, p. 31 – 47, doi: 10.9751/TPAC.3900-022

3. Relativistic fields.

TPAC, 6, 1, p. 48 – 63, doi: 10.9751/TPAC.4000-023

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