ABSTRACT: Defining the quaternion in terms of Pauli spin matrices we have reformulated the generalized wave function, generalized four-potential, generalized current, Lorentz force equation of motion associated with gravito-dyons in simple and compact quaternion notations. It has been shown that quaternionic form of generalized potential generalized current and Lorentz force equation of motion not only compact and simple but also remain invariant under quaternion transformations and as such the theory is manifestly covariant. Generalized Maxwell-Dirac equation, generalized field tensor and continuity equation have also been reformulated by means of consistent quaternion notation in simple and compact forms. It has been shown that the reform...
Quaternion space and its respective Quaternion Relativity (it also may be called as Rotational Relat...
Original method to construct models, formulate equations and find solutions for wide range of relati...
Quaternion space and its respective Quaternion Relativity (it also may be called as Rotational Relat...
ABSTRACT: Keeping in view the importance of quaternions and their roles in various problems of physi...
Unified quaternionic angular momentum for the fields of dyons and gravito-dyons has been developed a...
The object of the thesis is to show that the quaternion algebra can be applied successfully to the d...
Outlining the idea of quaternion non-Abelian gauge formalism and that of the structural symme-try be...
Starting with the generalized potentials, currents, field tensors and electromagnetic vector fields ...
The paper aims to adopt the complex octonion to formulate the angular momentum, torque, and force et...
Starting with the generalized field equation of dyons and gravito-dyons, we study the theory of octo...
In a basis of the space-time coordinate frame four quaternions discovered by Hamilton can be used. F...
The paper aims to adopt the complex quaternion and octonion to formulate the field equations for ele...
At the root of the present paper is the purely mathematical fact that the Lorentz group (or, more pr...
Compact description is given of algebras of poly-numbers: quaternions, bi-quaternions, double (split...
Compact description is given of algebras of poly-numbers: quaternions, bi-quaternions, double (split...
Quaternion space and its respective Quaternion Relativity (it also may be called as Rotational Relat...
Original method to construct models, formulate equations and find solutions for wide range of relati...
Quaternion space and its respective Quaternion Relativity (it also may be called as Rotational Relat...
ABSTRACT: Keeping in view the importance of quaternions and their roles in various problems of physi...
Unified quaternionic angular momentum for the fields of dyons and gravito-dyons has been developed a...
The object of the thesis is to show that the quaternion algebra can be applied successfully to the d...
Outlining the idea of quaternion non-Abelian gauge formalism and that of the structural symme-try be...
Starting with the generalized potentials, currents, field tensors and electromagnetic vector fields ...
The paper aims to adopt the complex octonion to formulate the angular momentum, torque, and force et...
Starting with the generalized field equation of dyons and gravito-dyons, we study the theory of octo...
In a basis of the space-time coordinate frame four quaternions discovered by Hamilton can be used. F...
The paper aims to adopt the complex quaternion and octonion to formulate the field equations for ele...
At the root of the present paper is the purely mathematical fact that the Lorentz group (or, more pr...
Compact description is given of algebras of poly-numbers: quaternions, bi-quaternions, double (split...
Compact description is given of algebras of poly-numbers: quaternions, bi-quaternions, double (split...
Quaternion space and its respective Quaternion Relativity (it also may be called as Rotational Relat...
Original method to construct models, formulate equations and find solutions for wide range of relati...
Quaternion space and its respective Quaternion Relativity (it also may be called as Rotational Relat...