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2015-06-06
XII International conference on gravitation, astrophysics and cosmology to be held in Moscow, Peoples’ Friendship University of Russia (PFUR) from June 28 till July 5, 2015

ICGAC-12 is a part of the series of biennial conferences on Gravitation, Astrophysics and Cosmology which take place in the Asia-Pacific region, with the goals to promote cooperation among the member countries and within an ...
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2014-11-07
A.P.Yefremov, "Physical Theories in Hypercomplex Geometric Description",
Int. Journal of Geometric Methods in Modern Physics,
Vol.11 (2014) 1450062 (33 pages);
DOI: 10.1142/S0219887814500625
Abstract
Compact description is given of algebras of poly-numbers: quaternions, bi-quaternions, double (split-complex) and dual numbers. All units of these (and exceptional) algebras
are shown to be repr ...
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2014-11-07
A.P.Yefremov, "Structured relativistic particle, helix-type Minkowski diagram, and "more general" relativity" Gravitation & Cosmology, 2014, V.20, No.3, pp.226-232
DOI: 10.1134/S0202289314030165
Abstract
A model of a 3D classical particle built up of micro-scale spinor fragments, hence structured, is proved sufficient (demands no additional postulates) to generate a theory of relativistic motio ...
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2014-11-07
A.P.Yefremov, "Bohr-Schrodinger "Hydrogen Truce"", Quantum matter, Vol. 3, No. 6, December 2014, pp. 510-514(5)
Abstract:
It is shortly demonstrated that stability condition of quaternion algebra under conformal stretching of underlying the algebra spinor surface written in physical units becomes precisely Schrodinger equation of quantum mechanics. When separated into real and imaginary parts t ...
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2014-07-11
11.07.2014 presentation of diplomas to graduates of a magistracy ...
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2013-06-21
New paper authored by Prof. Alexander P. Yefremov: Bohr-Schrödinger «Hydrogen Truce» is accepted for publication 24.05.13 in “Quantum Matter” (USA).
Abstract: It is shortly demonstrated that stability condition of quaternion algebra under conformal stretching of underlying the algebra spinor surface written in physical units becomes precisely Schrödinger equation of quantum mechanics. W ...
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2013-06-02
A new paper of Prof. Alexander P. Yefremov is published: “Pre-Geometric Structure of Quantum and Classical Particles in Terms of Quaternion Spinors”, Gravitation and Cosmology, 2013, Vol. 19, No. 2, pp. 71–78.

Abstract: It is shown that dyad vectors on a local domain of a complex-number-valued surface, when squared, form a set of four quaternion algebra units. A model of a proto-particle is b ...

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2013-01-28
29.12.2012 The lecture (invited talk) of Prof.A.Ye “Pre-geometry described in terms of quaternion spinors” at International Mathematical Conf. dedicated to 125 birthday anniversary of Srinivasa Ramanujan (India, Shivaji Science College, Nagpur, M.S.

Abstract:
It is shown that dyad vectors on a local domain of complex-number valued surface, when squared, form a set of four quaternion algebra ...
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2012-10-15
31.10.2012. SCIENTIFIC SEMINAR OF INSTITUTE OF GRAVITATION AND COSMOLOGY. Alexander P. Yefremov "EQUATIONS OF MECHANICS AS STABILITY CONDITIONS OF QUATERNION ALGEBRA".
Time: 17.00 – 19.30 (local time). Place: Peoples Friendship University of Russia, main building, lecture-room No.1 (Miklukho-Maklaya str., 6, Moscow).
Online Internet translation (in Russian) is planned; website address will be an ...

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2012-09-09
A new paper devoted to quaternions is published: Alexander P. Yefremov, “Fundamental Properties of Quaternion Spinors”, Gravitation and Cosmology, 2012, Vol. 18, No. 3, pp. 188–195.

Abstract. The interior structure of arbitrary sets of quaternion units is analyzed using general methods of the theory of matrices. It is shown that the units are composed of quadratic combinations of fundamental ...
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