User:B. C. Chanyal

Address :- Kumaun University, S.S.J. Campus, Almora-263601.
=== (Uttarakhand) India.===

1. Generalized Octonion Electrodynamics ': International Journal of Theoretical Physics (IJTP) 49:(2010) 1333-1343. Authors: B. C. Chanyal, et al.

ABSTRACT:- "We have made an attempt to reformulate the generalized field equation of dyons in terms of octonion variables. Octonion forms of generalized potential and current equations are discussed in consistent manner. It has been shown that due to the non associativity of octonion variables it is necessary to impose certain constraints to describe generalized octonion electrodynamics in manifestly covariant and consistent manner".

2.Generalized Split-Octonion Electrodynamics': International Journal of Theoretical Physics (IJTP) 50: (2011) 1919-1926. Authors: B. C. Chanyal, et al.

ABSTRACT:- "Starting with the usual definitions of octonions and split octonions in terms of Zorn vector matrix realization, we have made an attempt to write the consistent form of generalized Maxwell’s equations in presence of electric and magnetic charges (dyons). We have thus written the generalized potential, generalized field, and generalized current of dyons in terms of split octonions and accordingly the split octonion forms of generalized Dirac Maxwell’s equations are obtained in compact and consistent manner. This theory reproduces the dynamic of electric (magnetic) in the absence of magnetic (electric) charges".

3.Octonion Quantum Chromodynamics': arXiv:1204.0242; (2012) Authors: B. C. Chanyal, et al.

ABSTRACT:- "Starting with the usual definitions of octonions, an attempt has been made to establish the relations between octonion basis elements and Gell-Mann λ (lambda) matrices of SU(3)symmetry on comparing the multiplication tables for Gell-Mann λ matrices of SU(3)symmetry and octonion basis elements. Consequently, the quantum chromo dynamics (QCD) has been reformulated and it is shown that the theory of strong interactions could be explained better in terms of non-associative octonion algebra. Further, the octonion automorphism group SU(3) has been suitably handled with split basis of octonion algebra showing that the SU(3)_{C}gauge theory of colored quarks carries two real gauge fields which are responsible for the existence of two gauge potentials respectively associated with electric charge and magnetic monopole and supports well the idea that the colored quarks are dyons".