A Unitary Approach to Relativistic Dynamics and Quantum Particle Interactions | Chapter 7 | Current Research Progress in Physical Science Vol. 4

In this paper, a Unitary Quantum Relativistic Theory was developed. The wavy nature of a quantum particle involves the relativistic dynamics of the wave packet of this particle, and a field of interaction described by Lorentz’s force and three of the four Maxwell equations: the electromagnetic induction law, and the flow laws of the electric and magnetic fields. These equations arise from the group velocity, which is of the form of the Lagrange equation, and from a relativistic principle for wave functions, which asserts that in any system of reference, a wave function has a bounded spectrum with a velocity limit c. When a magnetic circuit law is considered for a field interacting with a quantum particle, this is an electromagnetic field, propagating with the velocity c. This means that the limit velocity c of a quantum particle according to the theory of relativity is also obtained as a necessary condition of quantum dynamics. The relativistic particle wavefunctions considered in this framework, describing finite distributions of densities in the two conjugated spaces of the coordinates and momentum, provide a better description of a collisional phenomenon, in a finite volume occupied by these particles and the photon mediating this collision according to Quantum Electrodynamics.

 

Author (s) Details

 

Eliade Stefanescu
Advanced Studies in Physics Centre of the Romanian Academy, Bucharest, Romania and Academy of Romanian Scientists, Bucharest, Romania.

 

Please see the book here:- https://doi.org/10.9734/bpi/crpps/v4/2904

Dynamics of Matter in a Unitary Relativistic Quantum Framework | Chapter 8 | Current Research Progress in Physical Science Vol. 7

The matter dynamics as a positively defined density P (xⁱ,t)= M|y (xⁱ,t )|² was described and showed that, according to the general theory of relativity, such a distribution can be conceived only as a fragment of matter with a finite mass M equal to a mass  M₀ , as a characteristic of the matter dynamics, M= M₀  – the matter quantization. The group velocities of the Fourier conjugate representations in the coordinate and momentum spaces describe the dynamics of a quantum particle in agreement with the Hamiltonian equations, unlike the Schrodinger representation which is in disagreement with these equations. Under the action of an external (nongravitational) field, the acceleration of the quantum matter has two components: 1) A component perpendicular to the velocity, given by the relativistic mechanical component of the time-dependent phase, and 2) A component given by the additional field terms of this phase. A free quantum particle is described by a non-dispersing wave function  y(xⁱ,t), contrary to the solution of the Schrödinger equation. A coherent electromagnetic field, in resonance with a system of active quantum particles in a Fabry-Perot cavity, has a wave vector approximately proportional to the metric elements, as the resonance frequency is approximately constant – a gravitational wave can be detected by the transmission characteristics of an active Fabry-Perot cavity. In a constant gravitational field, a quantum particle undertakes a velocity and an acceleration, which, at the boundary of a black hole are null – absorption and evaporation processes at the boundary of a black hole arise only by gravitational perturbations. Important perturbations, significantly deforming the gravitational spherical symmetry of a black hole, are produced by strong nuclear and electromagnetic forces leading to the big matter concentrations of the celestial bodies. Generally, a quantum particle is described by a time-space volume, called a graviton, with a spin of 2, and a distribution of a specific matter in this volume, with a half-integer spin for Fermions and an integer spin for Bosons. A graviton Lagrangian is obtained as a curvature integral on a graviton volume, and a Hamiltonian tensor is obtained for the gravitational coordinates and velocities.

 

Author (s) Details

 

Eliade Stefanescu
Advanced Studies in Physics Centre of the Romanian Academy, Academy of Romanian Scientists, Bucharest, Romania.

 

Please see the book here:- https://doi.org/10.9734/bpi/crpps/v7/4094

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

jk Transformation Laws of Coordinates and Composition of Velocities| Chapter 13 | New Trends in Physical Science Research Vol.7

 

 By introducing the usage of imaginary velocity, relative motion is redefined under the real-time examination of the universe. One of the author's discoveries of inherent inconsistencies in relative motion highlights how, in two-dimensional motion, the transfer of an item's actual size to the opposing velocity of the other object is justified. Because the magnitude transfer is imaginary rather than real, imaginary velocity offers accurate estimates for relative velocities (refer 1.2). As a result, the new transformation laws [1] are established and given the term "jk," which stands for two constants and represents the variance from the Lorentz inverse law. Each frame in an isotropic universe has references for its position while it is stationary or moving in a localised area, where A frame that is at rest maintains its position in respect to its surroundings over time. To provide the idea that it is moving against gravity, the mechanism only enables the moving frame to see a reflection of its own motion in the resting frame. As a result, the relative motion is a combination of real and imaginary motions with the ability to change direction. enabling complicated velocity into the jk laws. The Maxwell equations, space-time intervals, and rotating frames all remain invariant under these principles, regardless of whether vector values are in cross product or dot product. Inherent scalar values, like mass, time, length, etc., however, have inverse change. Therefore, jk transformation is not a vector-dominated rule like Lorentz transformation. The quantization of red-shift and particle decay is justified by physical processes without reciprocity effects. Understanding the nuances of the micro universe, such as the asymmetry of Doppler's changing pictures and short-lived particles, antimatter, subatomic particles, gamma rays, GRBs, and subatomic particles, is made easier by these concepts.

Author(s) Details:

Mohd Javed Khilji,
B-385, Indervihar Colony Airport Road Bhopal, 462030, India.

Please see the link here: https://stm.bookpi.org/NTPSR-V7/article/view/7789