78 citations · 312 across the 14 of their papers we have counts for
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Exploring quaternion framework for subluminal to superluminal space transformations in particle dynamics
B. C. Chanyal, L. S. Karki, P. K. Joshi +1
The present study explores the behavior of quaternionic four-space algebra for subluminal and superluminal spaces. We formulate the generalized Lorentz transformations for quaterni…
On the existence of quaternion-handedness for the spinor solutions of the Dirac and Majorana neutrinos
B. C. Chanyal, Sayyam Murari
This study explores the application of quaternionic left and right-handed algebraic frameworks to discuss the neutrino-handedness behavior. The generalized left and right-handed Di…
Z_2 Graded Lie Algebra of Quaternions and Superconformal Algebra in D=4 dimensions
Bhupendra C. S. Chauhan, Pawan Kumar Joshi, B. C. Chanyal
In the present discussion, we have studied the Z2-grading of quaternion algebra (H). We have made an attempt to extend the quaternion Lie algebra to the graded Lie algebra by using…
A possibility of Klein Paradox in quaternionic (3+1) frame
Geetanjali Pathak, B. C. Chanyal
In light of the significance of non-commutative quaternionic algebra in modern physics, the current study proposes the existence of the Klein paradox in the quaternionic (3+1)-dime…
Generalized quaternionic free rotational Dirac equation and spinor solutions in the electromagnetic field
Shikha Bhatt, B. C. Chanyal
Starting with the quaternionic Minkowski space-time and its four-vector representation, a rotational analogue of the quaternionic Dirac equation in the electromagnetic field is dev…
On the quaternion transformation and field equations in curved space-time
B. C. Chanyal
In this paper, we use four-dimensional quaternionic algebra to describing space-time field equations in curvature form. The transformation relations of a quaternionic variable are…