16 citations · 32 across the 4 of their papers we have counts for
4 papers
Smooth Loops and Thomas Precession
Alexander I. Nesterov, Lev V. Sabinin
Fundamentals of the local smooth loops due to Sabinin are concisely outlined together with the corresponding infinitesimal objects, so-called ν-hyperalgebras, and the analogue of t…
Nonassociative geometry: Friedmann-Robertson-Walker spacetime
Alexander I. Nesterov, Lev V. Sabinin
In (Phys. Rev. D 62, 081501, 2000) we proposed a unified approach to description of continuous and discrete spacetime based on nonassociative geometry and described nonassociative…
Smooth Loops, Generalized Coherent States and Geometric Phases
Alexander I. Nesterov, Lev V. Sabinin
A description of generalized coherent states and geometric phases in the light of the general theory of smooth loops is given.
Non-associative geometry and discrete structure of spacetime
Alexander I. Nesterov, Lev. V. Sabinin
A new mathematical theory, non-associative geometry, providing a unified algebraic description of continuous and discrete spacetime, is introduced.