  "HyperComplex Numbers in Geometry and Physics" 2 (8), vol. 4, 2007
j008
Content of Issue is in the theme. The journal in one file is below.
2007jbz
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2007jby
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2007jbx
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On the possibility of the OMPR effect in the space with Finsler geometry. Part 1.
2007jbw | Brinzei N., Siparov S. V. // "Transilvania" University, Brasov, Romania, nico.brinzei@rdslink.ro, &
State University of Civil Aviation,
Sankt-Petersburg, Russia, sergey@siparov.ru The effect of the optic-metrical parametric resonance could provide the
possibility to obtain the experimental evidence of the gravitational waves
existence. The effect might change, if the geometry of the physical space-time is not Riemannian but Finslerian one. The investigation of this situation is
undertaken.
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Einstein Equations for the Homogeneous Finsler Prolongation to TM, with Berwald-Moor Metric
2007jbv | Atanasiu Gh., Brinzei N. // "Transilvania" University, Brasov, Romania, gh_atanasiu@yahoo.com, nico.brinzei@rdslink.ro Within the geometrical framework provided by (h,v)-metric structures, an
important case is that of the homogeneous prolongation (lift) of a Finsler metric to the tangent bundle TM, constructed by R. Miron. In this case, we perform a study of Einstein equations. A special attention is paid to the Berwald-Moor metric, and to metrics conformally related to it.
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An extension of electrodynamics theory to complex Lagrange geometry
2007jbu | Gh. Munteanu // Transilvania Univ., Faculty of Mathematics and Informatics,
Bra\c{s}ov, Romania, gh.munteanu@unitbv.ro In this note our purpose is to introduce the Maxwell type equations in a complex Lagrange space, particularly in a complex Finsler space.
The electromagnetic tensor fields are defined as the sum between the differential of the complex Liouville 1-form and the symplectic 2-form of the space relative to the adapted frame of Chern-Lagrange complex nonlinear connection.
Is proved that the (1,1)-type electromagnetic field of a complex Finsler space vanish and the differential of the (2,0)-type electromagnetic field yields the
generalized Maxwell equations. The complex electromagnetic currents are also introduced and the conditions when they are conservative are deduced.
Finally we apply the results to the electrodynamics Lagrangian considered in
[Mu] and to the case of complex Randers spaces.
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2007jbt
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2007jbs
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2007jbr
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2007jbq
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Stumbling blocks for standard cosmology in the light of six-dimensional one
2007jbp | I. A. Urusovskii // Acoustic institute n.a, acad. N.N. Andreev, Moscow, Russia An account of an increase of speed of light in the actual three-dimensional
Universe and its effect on redshift for distant sources and on theoretical redshift dependencies compared with observed data is given. The investigation is carried out on the basis of the simplest six-dimensional treatment of the expanding Universe in
the form a three-dimensional sphere appeared as a result of the intersection of three simplest geometrical objects of finite dimensions in the six-dimensional
Euclidean space -- of three uniformly expanding five-dimensional spheres. A scenario in which the speed of light (and the energy of each elementary particle) in the six-dimensional space is constant in time is considered. Some difficulties of standard cosmology are discussed on the base of six-dimensional cosmology.
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2007jbo
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