Browsing by Author "Altintas, Azmi A."

Now showing 1 - 2 of 2

Citation Count: 1
GENERALIZED LORENTZ GROUP OF SPACE-TIME TRANSFORMATIONS
(Turkic World Mathematical Soc, 2020) Yarman, Nuh Tolga; Altintas, Azmi A.; Kholmetskii, Alexander L.; Arik, Metin; Marchal, Christian B.; Yarman, Ozan; Ozaydin, Fatih; Enerji Sistemleri Mühendisliği / Energy Systems Engineering
We examine how Lorentz Symmetry (LS) breaks down in Yarman-Arik-Kholmetskii (YARK) theory of gravitation through an entirely different mechanism than that under metric theories of gravity. Said mechanism can be right away extended to all other fields of interaction under Yarman's Approach that forms the basis of YARK theory. The result is the disclosure of a new "Generalized Lorentz Group" of space-time transformations which contains an additional parameter denoting the interactional energy per unit mass. Hence, the core finding herein is that the Minkowskian metric for an empty space-time should, when one is in the presence of gravity or any other force field, be replaced by general equalities involving a novel coupling parameter for either attraction or repulsion..
Citation Count: 4
The multi-dimensional q-deformed bosonic Newton oscillator and its inhomogeneous quantum invariance group
(versita, 2010) Altintas, Azmi A.; Arik, Metin; Arikan, Ali S.
We obtain the inhomogeneous invariance quantum group for the multi-dimensional q-deformed bosonic Newton oscillator algebra. The homogenous part of this quantum group is given by the multiparameter quantum group GL(X;qij) (n) Schirrmacher where q(ij)'s take some special values. We find the R-matrix which gives the non-commuting structure of the quantum group for the two dimensional case.