26 citations · 57 across the 7 of their papers we have counts for
7 papers
100 years of mathematical cosmology: Models, theories, and problems
Spiros Cotsakis, Alexander P. Yefremov
An elementary survey of mathematical cosmology is presented. We cover certain key ideas and developments in a qualitative way, from the time of the Einstein static universe in 1917…
Pre-geometric structure of quantum and classical particles in terms of quaternion spinors
Alexander P. Yefremov
It is shown that dyad vectors on a local domain of complex-number valued surface, when squared, form a set of four quaternion algebra units. A model of proto-particle is built by t…
Fundamental Properties of Quaternion Spinors
Alexander P. Yefremov
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 combi…
Splitting of 3d quaternion dimensions into 2d-sells and a "world screen technology"
Alexander P. Yefremov
A set of basic vectors locally describing metric properties of an arbitrary 2-dimensional (2D) surface is used for construction of fundamental algebraic objects having nilpotent an…
Relativistic Warning to Space Missions Aimed to Reach Phobos
Alexander P. Yefremov
Disagreement in estimations of the observed acceleration of Phobos yields several theories empirically modifying classical description of motion of the satellite, but its orbital p…
The conic-gearing image of a complex number and a spinor-born surface geometry
Alexander P. Yefremov
Quaternion (Q-) mathematics formally contains many fragments of physical laws; in particular, the Hamiltonian for the Pauli equation automatically emerges in a space with Q-metric.…
Quaternions and Biquaternions: Algebra, Geometry and Physical Theories
A. P. Yefremov
The review of modern study of algebraic, geometric and differential properties of quaternionic (Q) numbers with their applications. Traditional and "tensor" formulation of Q-units…