arXiv subjects

A. A. Kirillov

Publications and source records attributed to A. A. Kirillov.

53 records · Page 3Linked to original sources

arXiv2006

The Universal Rotation Curve of Spiral Galaxies

The observed strong dark-to-luminous matter coupling is described by a bias relation between visible and dark matter sources. We discuss the bias which emerges in the case where the topological structure of the Universe at very large distances does not match properly that of the Friedman space. With the use of such "topological" bias, we construct the Universal Rotation Curve (URC) for spirals which occurs to be in a striking agreement with the empirically known URC. We also show that the topological bias explains the origin of the Tully-Fisher relation ($ L\sim V^{4}$) and predicts peculiar oscillations in the URC with a characteristic length $\sim \sqrt{L}$.

astro-ph↗

arXiv2005

The Nature of Dark Matter

The observed strong dark-to-luminous matter coupling suggests the existence of a some functional relation between visible and DM sources which leads to biased Einstein equations. We show that such a bias appears in the case when the topological structure of the actual Universe at very large distances does not match properly that of the Friedman space. We introduce a bias operator $ρ_{DM} = B ρ_{vis}$ and show that the simple bias function $b \~1/r^{2}$ (the kernel of $B$) allows to account for all the variety of observed DM halos in astrophysical systems. In galaxies such a bias forms the cored DM distribution with the radius $R_{C}\sim R_{opt}$ (which explains the recently observed strong correlation between $R_{C}$ and $R_{opt}$), while for a point source it produces the logarithmic correction to the Newton's potential (which explains the observed flat rotation curves in spirals). Finally, we show that in the theory suggested the galaxy formation process leads to a specific variation with time of all interaction constants and, in particular, of the fine structure constant.

astro-ph↗

arXiv2005

Oscillatory regime in the Multidimensional Homogeneous Cosmological Models Induced by a Vector Field

We show that in multidimensional gravity vector fields completely determine the structure and properties of singularity. It turns out that in the presence of a vector field the oscillatory regime exists in all spatial dimensions and for all homogeneous models. By analyzing the Hamiltonian equations we derive the Poincaré return map associated to the Kasner indexes and fix the rules according to which the Kasner vectors rotate. In correspondence to a 4-dimensional space time, the oscillatory regime here constructed overlap the usual Belinski-Khalatnikov-Liftshitz one.

gr-qc↗

arXiv2004

Modification of the field theory and the dark matter problem

We present a Modification of the Field Theory in which the topology of space can vary. We show that in MOFT particles lose their point-like character and acquire a specific distribution in space, i.e., each point source is surrounded with a halo which carries charges of all sorts. From the dynamical standpoint such halos can be described by the presence of dark matter or fictitious particles. We show that in MOFT fermions obey a generalized statistics and at scales $r>r_{\min}$ violate the Pauli principle (more than one fermion can occupy the same quantum state). We also demonstrate that in this range the stable equilibrium state corresponds to the fractal distribution of baryons and due to the presence of fictitious particles predicted by MOFT this distribution is consistent with observational limits on $ΔT/T$. The concept of fictitious particles is then used to explain the origin of the diffuse component in the X-ray background and the origin of scalar Higgs fields. Thus, we show that MOFT allows to relate the rest mass spectrum of elementary particles with cosmological parameters. In conclusion we discuss some open problems in MOFT.

astro-ph↗

arXiv2003

On properties of elementary excitations in fractal media

It is shown that elementary excitations in fractal media obey the so-called parastatistics of a variable order. We show that the order of the parastatistics $N(k) $ is a function of wave numbers $k$ which depends on the fractal dimension $D$ as $N(k) \sim k^{D-3}$ and represents a specific characteristic of such media. This function $N(k)$ defines properties of the ground state for excitations and the behavior of the spectrum of thermal fluctuations. In particular, in fractal media fluctuations of the density acquire an amplification by the factor $N(ω) \sim ω^{D-3}$ which can be related to the origin of $1/f$-noise.

cond-mat↗

arXiv2003

Violation of the Pauli principle and dimension of the Universe at very large distances

We discuss a Modified Field theory (MOFT) in which the number of fields can vary. It is shown that in MOFT fermions obey the so-called parastatistics in which the order of the parastatistics depends on scales. In particular, at very large distances $r>r_{\min}$ fermions violate the Pauli principle. It is also shown that in MOFT in some range of scales $r_{\max}>r>r_{\min}$ the Universe acquires features of a two-dimensional space whose distribution in the observed 3-dimensional volume has an irregular character. This provides a natural explanation to the observed fractal distribution of galaxies and the logarithmic behavior of the Newton's potential for a point source.

astro-ph↗

arXiv2002

Quasi-Isotropization of the Inhomogeneous Mixmaster Universe Induced by an Inflationary Process

We derive a ``generic'' inhomogeneous ``bridge'' solution for a cosmological model in the presence of a real self-interacting scalar field. This solution connects a Kasner-like regime to an inflationary stage of evolution and therefore provides a dynamical mechanism for the quasi-isotropization of the universe. In the framework of a standard Arnowitt-Deser-Misner Hamiltonian formulation of the dynamics and by adopting Misner-Chitrè-like variables, we integrate the Einstein-Hamilton-Jacobi equation corresponding to a ``generic'' inhomogeneous cosmological model whose evolution is influenced by the coupling with a bosonic field, expected to be responsible for a spontaneous symmetry breaking configuration. The dependence of the detailed evolution of the universe on the initial conditions is then appropriately characterized.

gr-qc↗

arXiv2002

Dark matter, dark charge, and the fractal structure of the Universe

It is shown that the observed fractal distribution of galaxies is, in fact, consistent with homogeneity of the Universe and observational limits on $ ΔT/T$, if the presence of dark matter and dark charge predicted by the Modified Field Theory (MOFT) is taken into account. It is also shown that indeed in MOFT the ground state for baryons does correspond to the fractal distribution of baryons with dimension D=2. It is discussed a new scenario of structure formation in which observed structures appear as a result of decay of the primordial fractal distribution of baryons.

astro-ph↗

arXiv2002

On modification of the Newton's law of gravity at very large distances

We discuss a Modified Field Theory (MOFT) in which the number of fields can vary. It is shown that when the number of fields is conserved MOFT reduces to the standard field theory but interaction constants undergo an additional renormalization and acquire a dependence on spatial scales. In particular, the renormalization of the gravitational constant leads to the deviation of the law of gravity from the Newton's law in some range of scales $r_{\min} r_{\max}$ acquires a new constant value $G^{\prime}\sim Gr_{\max}/r_{\min}$. From the dynamical standpoint this looks as if every point source is surrounded with a halo of dark matter. It is also shown that if the maximal scale $r_{\max}$ is absent, the homogeneity of the dark matter in the Universe is consistent with a fractal distribution of baryons in space, in which the luminous matter is located on thin two-dimensional surfaces separated by empty regions of ever growing size.

astro-ph↗

arXiv2002

Origin of a classical space in guantum cosmologies

The influence of vector fields on the origin of a classical space in quantum cosmologies and on the possible compactification process in multidimensional gravity is investigated. It is shown that all general features of the transition between classical and quantum regimes of the evolution can be obtained within the simplest Bianchi-I model for arbitrary number of dimensions. It is shown that the classical space appears when the horizon size reaches the smallest of characteristic scales (the characteristic scale of inhomogeneity or a scale associated with vector fields). In multidimensional case the presence of vector fields completely removes the initial stage of the compactification process which takes place in the case of vacuum models.

hep-th↗

arXiv2001

Corrections to the Newton and Coulomb potentials caused by effects of spacetime foam

We use an extended quantum field theory (EQFT) hep-th/9911168 to explore possible observational effects of the spacetime. It is shown that as it was expected the spacetime foam can provide quantum bose fields with a cutoff at very small scales, if the energy of zero - point fluctuations of fields is taken into account. It is also shown that EQFT changes the behaviour of massless fields at very large scales (in the classical region). We show that as $r\gg 1/μ$ the Coulomb and Newton forces acquire the behaviour $\sim 1/r$ (instead of $1/r^{2}$).

hep-th↗

arXiv2000

Possible Effects of Spacetime Foam in Particle Physics

We present an extension of quantum field theory to the case when the spacetime topology fluctuates (spacetime foam). In this extension the number of bosonic fields becomes a variable and the ground state is characterized by a finite particle number density. It is shown that when the number of fields remains a constant, the standard field theory is restored. However, in the complete theory the ground state has a nontrivial properties. In particular, it produces an increase in the level of quantum fluctuations in the field potentials and an additional renormalization of masses of particles. We examine fluctuations of massless fields and show that in the presence of a temperature (thermal state) these fluctuations has 1/f spectrum. Thus, the main prediction of the theory is that our universe should be filled with a random electromagnetic field which should produce an additional 1/f - noise in electric circuits.

hep-th↗

arXiv2000

Does the radioactive decay obey the Poisson statistics?

It is shown that a nontrivial quantum structure of our space at macroscopic scales, which may exist as a relic of quantum gravity processes in the early universe, gives rise to a new phenomenon: spontaneous origin of an interference picture in every physical process. This explains why statistical distributions in radioactivity measurements may be different from the Poisson distribution.

hep-th↗

arXiv1999

Effects related to spacetime foam in particle physics

It is found that the existence of spacetime foam leads to a situation in which the number of fundamental quantum bosonic fields is a variable quantity. The general aspects of an exact theory that allows for a variable number of fields are discussed, and the simplest observable effects generated by the foam are estimated. It is shown that in the absence of processes related to variations in the topology of space, the concept of an effective field can be reintroduced and standard field theory can be restored. However, in the complete theory the ground state is characterized by a nonvanishing particle number density. From the effective-field standpoint, such particles are "dark". It is assumed that they comprise dark matter of the universe. The properties of this dark matter are discussed, and so is the possibility of measuring the quantum fluctuation in the field potentials.

hep-th↗

arXiv1994

Quantum creation of an inhomogeneous unflationary universe

The process of quantum creation of a qusihomogeneous inflationary universe near a cosmological singularity is considered. It is shown that during the evolution quantum fluctuations of spatial topologies increase and the universe acquires homogeneous and isotropic character on arbitrary large distances.

gr-qc↗

arXiv1994

Dynamics of inhomogeneities of metric in the vicinity of a singularity in multidimensional cosmology authors

The problem of construction of a general ihomogeneous solution of $D$-dimensional Einstein equations in the vicinity of a cosmological singularity is considered. It is shown that near the singularity a local behavior of metric functions is described by a billiard on a space of a constant negative curvature. The billiard is shown to have a finite volume and consequently to be a mixing one. Dynamics of inhomogeneities of metric is studied and it is shown that its statistical properties admit a complete description. An invariant measure describing statistics of inhomogeneities is obtained and a role of a minimally-coupled scalar field in dynamics of the inhomogeneities is also considered.

gr-qc↗

arXiv1994

On description of spatial topologies in quantum gravity

A new approach is suggested which allows to describe phenomenologically arbitrary topologies of the Universe. It consists in a generalizaton of third quantization. This quantization is carried out for the case of asymptotic closeness to a cosmological singularity. It is also pointed out that suggested approach leads to a modification of the ordinary quantum field theory. In order to show this modification we consider the example of a free massless scalar field.

gr-qc↗