The dynamics of chiral cosmological fields in the canonical phantom model
... widely by the scientific community and indicate the need for research on new models of inflation, other than the basic model of inflation, based on a single self-interacting scalar field. In this paper we consider the inflationary model based on chiral cosmological model, which takes into account the various forms of kinetic interaction between the phantom and the canonical field. This study determines the dynamics and interaction of the fields in the short time at the stage of early inflation, when ...
New classes of exact solutions and consistent models of cosmological evolution
A method for construction of exact cosmological solutions of Einstein equations is developed. The method is based on representation of these equations as a second-order linear differential equation. Particularly, the method allows to construct a more general solution, parametrized by two ...
On the logical inconsistency of Kant’s critique of the cosmological argument
The paper shows that the Kantian critique of cosmological argument does not take into account the existential presuppositions of Aristotelian syllogistic, so it is logically untenable. The basic idea of Kant is that the cosmological proof does not rely on the empirical premise (i.e. the existence ...
ΛCDM-model with δ-function
... characteristic SFS arrival time, we introduce a simplified model with the δ-function and use the weak anthropic principle. It is shown that our model predicts a rather soon appearance of the SFS-singularity.
1. Yurov A. V., Astashenok A. V., Yurov V. A. The Cosmological Models with Jump Discontinuities // Eur. Phys. J. C. 2018. Vol. 78, iss. 7, 542. URL:
https://doi.org/10
. 1140/epjc/s10052-018-6020-9 (дата обращения: 11.02.2019).
2. Barrow J. D. Sudden Future Singularities // Class. Quant....
The Abel equation and cosmological scalar field zeroes
... V. A. Friedman vs. Abel: A connection unraveled // Journal of Mathematical Physics. 2010. Vol. 51. P. 082503: 1—17.
3. Yurov A. V., Yaparova A. V., Yurov V. A. Application of Abel Equation of 1st kind to in ation analysis for non-exactly solvable cosmological models // European Physical Journal. 2014. Vol. 20, Iss. 2. P. 106—115.
4. Muslimov A. G. On The Scalar Field Dynamics In A Spatially Flat Friedman Universe // Class. Quant. Grav. 1990. Vol. 7. P. 231—237.
5. Salopek D. S., Bond J. ...
Finite action principle and non-singular cosmological models
In this work, an attempt is made to consider hypothetical cosmological models free from two types of singularities: divergent action and divergent scalar curvature. Such models form an extremely narrow subclass and look quite unnatural. However, our goal is to show that such cosmologies are possible ...
The problem of antinomy of pure theoretical reason in Kant’s system
... into account. However, it is not explicitly expressed. Instead of this crucial structural element, which would significantly simplify the understanding of such a complicated treatise, the Critique of Pure Reason presents the system of antinomies of the cosmological idea of pure reason. However, these phenomena are not identical — there is a great difference between the antinomy of pure reason and a system of particular antinomies of one of its ideas. The article addresses this complication and the ...
Moral theology and the cosmological argument. Comments and delibera¬tions on a little-known Reflection of Kant
... literature. This small 8 x 6.3 cm sheet belonged to the manuscript collector Oskar Ulex (1852—1934), who appears to have bought it from a dealer in France. Writing covers both sides of the sheet, with moral theology discussed on one side, and the cosmological proof on the other. A transcription and description of the sheet is provided, followedby a “Question & Answer” with the goal of dating the notes describing the two separate arguments for the existence of God. The use of the expressions ...
The principle of sufficient reason in German philosophy of the Enlight-enment
In the 18th century, a philosophical dispute over the Principle of sufficient reason arose in Germany. Despite the fact that this Principe was explicitly formulated by Gottfried Wilhelm Leibniz only at the end of the 17th century, a major dispute about it was triggered by Christian Wolff who had considerable influence on the German philosophy of Enlightenment. In German Metaphysic, he presented the “strong” definition of the principle and its proof. As a result, freedom was restricted, because...
Von der mathematischen zur kritischen Metaphysik der Natur. Lambert und Kant
... stuck throughout his life to a theonomous natural teleology in the succession of Wolff, which was fundamentally made impossible by the Critique of Pure Reason: because the wise “intention of the creator”, which Lambert’s empirical-rationalistic cosmology could not and did not want to do without, could no longer be referred to in a rational context according to the Critique of Pure Reason. Even if Lambert certainly had moments of the Kantian theory of matter or — as Kant himself admitted — ...
Worlds «Phoenix»
... observers, exists for no more than a second, after which it is destroyed by a bubble of a new phase. The mass of the superheavy gravitino is estimated to be one more than Page's estimate.
Yurov V. A., Yurova A. A.
Boltzmann brain, phase transitions, cosmological constant, gravitino mass
80-85
Kant and the Crusians in the Debate on Optimism
... esse evincens, quam annuente deo amplissimae facultatis philosophicae consensu Oelmanniani stipendii legibus exigentibus, praeside Friderico Johanne Buck, philosoph. et utr. jur. doct. mathem. prof. publ. senat. civit. Regiom. bibliothec. II. societ. cosmolog. Norimberg. teuton. Viadrin. membr. publice defendet Johannes Ludovicus Segers, p. S. theol. et phil. cult. Opponentibus, [...] Anno MDCC LVIII. D. 25. Julii in auditorio maximo horis consuetis. Königsberg: Hartung.
5. Chmelnitzki, J., 1766....
A. A. Fet and Kant’s stars-and-morals motif in Russian philosophical poetry
... представление. Т. 1 : Критика кантовской философии. М., 1993.
General History of Nature and Theory of the Heavens, Critique of Pure Reason, planet Neptune, gravitational collapse and imperishability of stars, moral reflection and cosmology, stars as hieroglyphs of dreams, poetry as a stairway to heaven
Kalinnikov L. A.
46-62
10.5922/0207-6918-2013-1-4
The machine and the body in the transcendental cosmo-logy of Chr. Wolff and Chr. A. Crusius
... initial meaning of that notion underwent peculiar changes: not only an artificial mechanism but also a natural organic body were defined as machines. A metaphysical comprehension of the notion of machine was developed predominantly in the framework of cosmology.
1. Васильев В. В. Философская психология в эпоху Просвещения. М., 2010.
2. Вольф Хр. Метафизика [Разумные мысли о Боге, мире и душе человека,...
Edgar Poe’s World Model
... исследования и комментарии. СПб., 2004.
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Edgar Allan Poe's Physical Cosmology // Qarterly Journal of the Royal Astronomical Society. 1994. Vol. 35. P. 177—192.
URL:
adsabs.harvard.edu/ abs/1994QJRAS..35..177C.
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poeeddington.html.
13.
Lartigue J....
Generation of exact solutions of Fridman equations leading to Cardy–Verlinde formula by Darboux transformation
... 563—574.
3. Brevik I., Nojiri S., Odintsov S. D. et al. Entropy and Universality of Cardy—Verlinde formula in Dark Energy Universe // Phys. Rev. 2004. D70:043520.
4. Brevik I., Odintsov S. D. On the Cardy—Verlinde Entropy Formula in Viscous Cosmology // Ibid. 2002. D 65, 067302.
5. James E. L., Nojiri S., Odintsov S. D. et al. The Ads/CFT Correspondence and Logariphmic Corrections to raneworld Cosmology and the Cardy—Verlinde Formula // Phys. Lett. 2002. B544. Р. 337—345.
6. Wang ...
Generalized Evans function for continuous spectrum
... equations and solitons in multidimensions // Inverse Problems. 1992. Vol. 8, №
2. P. 207—218.
3.
Bordag M., Yurov A.
Spontaneous symmetry breaking and reflectionless scattering data // Physical Review D — Particles, Fields, Gravitation and Cosmology. 2003. Vol. 67, №
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Jones C. K. R. T.
Stability of the traveling wave solution of the Fitzhugh — Nagumo system // Transactions of the AMS. 1984. 286 (2). P. 431—469.
5.
Alexander J., Gardner R., Jones C.
A topological ...
The dynamics of localized pulse as solutions of Davey — Stewartson II equations
... incompressible fluid // Theoretical and Mathematical Physics. 2006. Т. 147, №
1. P. 501—508.
10.
Bordag M., Yurov A.
Spontaneous symmetry breaking and reflectionless scattering data // Physical Review D — Particles, Fields, Gravitation and Cosmology.
2003. Т. 67, №
2.
Yurova A.
Davey — Stewartson equation, Darboux transform, solitons, integrable systems, Lax pairs.
12-17
An application of the Abel equation of first type to the task of solving the Friedman equations
... Nonlinear Ordinary Differential Equations // John Wiley & Sons, 1997.
8.
Chervon S.
V., Zhuravlev V.
M., Shchigolev V.
K.
New exact solutions in standard inflationary models // Phys. Lett. B398. (1997) 269—273.
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Felder G., Frolov A.
et al. Cosmology With Negative Potentials // Phys. Rev
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66 (2002) 023507.
Yurov V. A.
Abel equation, Einstein-Friedmann equations, scalar field.
43-46
The notion of necessity in the German philosophy of the¬ Enlighten¬ment
... harmonizing the principle of sufficient reason with freedom. It is demonstrated that, in the 18th century, necessity was understood very broadly, it held a special place in metaphysics in general and, in particular, in such metaphysical disciplines as cosmology, psychology, theology, and also ethics.
1. Бавмейстер Хр. Метафизика / пер. с лат. Я. В. Толмачева. М., 1808.
2. Вольф Хр. Разумные мысли о Боге, мире и душе человека,...
The multi-language coding and anagrammatic foundations of the “Venice text” in Yu. Buida’s short story “All the floating by”
... “Polorotov,” and analyse the interaction between the topography of the town and Venice – the dream city of the main female character. Different levels of text interpretation are identified — from the plot- and everyday life-focused to symbolic and cosmological ones.
1. Андерсен Г. Х. Импровизатор : роман. URL: http://www.sky-art.com/andersen/prose/improvisator /improvisator.htm/ (дата обращения: 20.05.2013).
2. Блок А. А. Собр. соч. : в 12 ...