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

General Formulation of Topos Many-Node Theory | Chapter 8 | New Frontiers in Physical Science Research Vol. 9

 We analyze the created entities (occurrences) in the first moments of cosmos creation. It is assumed that skilled exists a causal forceful relationship between all occurrences (nodes) aforementioned that all nodes are placed on a planet line and each node occupies a domain (instead of a point) precede-time, called setting, in mathematical terms. The set of setting nodes form a topos many-node order. Using some elementary assumptions, we introduce two types of Hamiltonians. By attributing a general fundamental Hamiltonian to the system, it is shown that bureaucracy has an optimized fault-finding dimension with a apparent Raman and infrared spectrums. Also, we consider a accepted nonstructural Hamiltonian which contains a set of commutative self-adjoint operators and an interplay terms due to the spin, charge, or different kinds of probable scopes of freedoms each nth optimized graph. For judgment the state-space, honesty values and size valued objects of the many-bud system, a general process is introduced. The set of these values is a chaste snapshot of the nth reformed graph which forms allure kinematic. We show that the dynamic of the system maybe explained by defining a linked map middle from two points the nth -state-space belongs to the nth -graph and the (n + 1)th -state-room belong to (n + 1)th  -graph. Finally, by providing an understanding of the general expression of many-node theory, we confer and explain how individual can use the data of the cosmic history radiations and cosmic beams for finding a detailed model of two together general structural and nonstructural made acquainted Hamiltonian. Here, time is merely the change in truth value all the while comparison between nth and (n + 1)th-diagram.

Author(s) Details:

Hamidreza Simchi,
Department of Physics, Iran University of Science and Technology, Narmak, Tehran 16844, Iran.

Please see the link here: https://stm.bookpi.org/NFPSR-V9/article/view/9857

The Last Challenge of Modern Physics: Perspective to Concept and Model Analysis | Chapter 1 | Newest Updates in Physical Science Research Vol. 4

 A synthesis of the current state of research on electromagnetic energy and mass conversion processes, as well as a description of an expanded space geometry that may help resolve many of the remaining issues.

Author(s) Details

André Michaud
SRP Inc Educational Research Service Quebec, Canada.

View Book :- https://stm.bookpi.org/NUPSR-V4/article/view/1640