Showing posts with label electro-gravimagnetic field. Show all posts
Showing posts with label electro-gravimagnetic field. Show all posts

Monday, 3 March 2025

Ether in Biquaternionic Presentation: A Study of Its Density and Characteristics | Chapter 8 | Mathematics and Computer Science: Research Updates Vol. 3

This study explore the concept of ether within the framework of biquaternionic representation and understanding its density and fundamental characteristics. The biquaternionic model of the ether is presented as electro-gravimagnetic field, the state of which is described by the EGM strength biquaternion. Its complex scalar part determines the density of the ether, and the complex vector part characterizes the strength of the electric and gravimagnetic fields. The biquaternion gradient of the EGM strength biquaternion determines the biquaternion of EGM charge-current, which contains in the scalar part the electric charge and gravitational mass, and the vector part is formed by electric and gravimagnetic currents.  This biquaternion wave equation (biwave Eq) is generalization of Maxwell equations. This hyperbolic wave equation also describes shock electromagnetic waves. Conditions on jumps of the EGM-field intensity vectors on the shock wave fronts are presented. The presence of a longitudinal component of EGM-waves, associated with the density of the EGM field, is shown. Examples of longitudinal EGM waves as solutions of the ether equation are given.

The field’s analogue of the three Newton’s laws are presented in form of biwave equations. Representations of biquaternion of photons and elementary atoms are obtained as partial stationary solutions of biwave equations with a fixed oscillation frequency. The presence of a gravitational component of the EGM field of the photon is shown, which explains the light pressure.

A field analogue of Newton's second law is presented as a biquaternion generalization of the Dirac system of equations. It describes the transformation of the EGM charge-current biquaternion under the influence of an external EGM field. It contains, in addition to all known physical forces, a number of new forces that are proposed for discussion and experimental verification. The biquaternion representation of Newton's third law of action and reaction in the scalar part is a well-known analogue of Bettie’s law on the power of forces acting on EGM charges and currents.  Using the biquaternion model of the atom, a periodic system of atoms is constructed based on the structure of a simple musical scale.

 

Author (s) Details

 

L.A. Alexeyeva
Institute of Mathematics and Mathematical Modeling of Science, High Education Ministry of Kazakhstan, Almaty, Kazakhstan.

 

Please see the book here:- https://doi.org/10.9734/bpi/mcsru/v3/4455

Monday, 4 September 2023

Electro-Gravimagnetic Field, Charges and Currents, Inertia Law in Differential Algebra of Biquaternions | Chapter 8 | Fundamental Research and Application of Physical Science Vol. 9

 One model of electro-gravimagnetic (EGM) field and electro-gravimagnetic charges and currents has existed developed established the biquaternionic generalization of Maxwell and Dirac equatings. The connection betwixt them is specified by one biquaternionic wave (biwave) equating. Fundamental and regular resolutions of this equating are constructed for popular charges of currents, as well as in their omission. Using the theory of statement functions shock EGM waves are considered and the environments on the fronts of shock waves are obtained.In particular, answers describing gravitational waves and long electromagnetic waves are presented. It is proved that the presence of the long component of EM waves is associated with the bulk of the EGM field, which is specified by the scalar component of the force biquaternion.The law of lifelessness is postulated completely free charge-currents in the absence of extrinsic EGM fields in the biquaternionic form. The mutual bigradient of specific chargescurrents is equal to nothing. Its consequence is the familiar laws of preservation of charge and mass. Solutions concerning this equation are built, which specify the objects of dimension N=3,2,1 (pieces, body, fabric, fibers).Taken together, these two biwave equations are a independent system for deciding the EGM field and the movement of the EGM charges-currents produce by it.

Author(s) Details:

Lyudmila Alexeyeva,
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan.

Please see the link here: https://stm.bookpi.org/FRAPS-V9/article/view/11765