Hypercomplex Numbers in Geometry and Physics 2004, 1 (1) Scientific Journal Founded on 2003 www.hypercomplex.ru
[email protected] Editorial: 129515, Russia, Moscow, Praskovyina street, 21, office 112, ”MOZET” Contents From Editorial Board . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 Pavlov D. G. Generalization of scalar product axioms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 Pavlov D. G. Chronometry of the three-dimensional time . . . . . . . . . . . . . . . . . . . . . . . . . . 19 Pavlov D. G. Four-dimensional time . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 Asanov G. S. Finsleroid–space supplemented by angle and scalar product . . . . . . . . . . 40 Lebedev S. V. Properties of spaces associated with commutative-associative H3 and H4 algebras . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63 Garas’ko G. I. Generalized–analytical functions of poly–number variable . . . . . . . . . . 70 Kassandrov V. V. Algebrodinamics: Primodial Light, Particles-Caustics and Flow of Time . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84 Mikhailov R. V. On some questions of four dimensional topology: a survey of modern research . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 100 Yefremov A. P. Quaternions: algebra, geometry and physical theories . . . . . . . . . . 104 Supplement . . . . . . . . . . . . . . .