The Experts below are selected from a list of 237 Experts worldwide ranked by ideXlab platform

Shiuan Ni Liang - One of the best experts on this subject based on the ideXlab platform.

  • Newtonian versus Special-Relativistic Statistical Predictions for Low-Speed Scattering
    PLOS ONE, 2012
    Co-Authors: Shiuan Ni Liang, Florentino Borondo
    Abstract:

    The statistical predictions of Newtonian and special-Relativistic Mechanics, which are calculated from an initially Gaussian ensemble of trajectories, are compared for a low-speed scattering system. The comparisons are focused on the mean dwell time, transmission and reflection coefficients, and the position and momentum means and standard deviations. We find that the statistical predictions of the two theories do not always agree as conventionally expected. The predictions are close if the scattering is non-chaotic but they are radically different if the scattering is chaotic and the initial ensemble is well localized in phase space. Our result indicates that for low-speed chaotic scattering, special-Relativistic Mechanics must be used, instead of the standard practice of using Newtonian Mechanics, to obtain empirically-correct statistical predictions from an initially well-localized Gaussian ensemble.

  • Statistical Predictions for the Dynamics of a Low-Speed System: Newtonian versus Special-Relativistic Mechanics
    PLOS ONE, 2012
    Co-Authors: Shiuan Ni Liang
    Abstract:

    The Newtonian and special-Relativistic statistical predictions for the mean, standard deviation and probability density function of the position and momentum are compared for the periodically-delta-kicked particle at low speed. Contrary to expectation, we find that the statistical predictions, which are calculated from the same parameters and initial Gaussian ensemble of trajectories, do not always agree if the initial ensemble is sufficiently well-localized in phase space. Moreover, the breakdown of agreement is very fast if the trajectories in the ensemble are chaotic, but very slow if the trajectories in the ensemble are non-chaotic. The breakdown of agreement implies that special-Relativistic Mechanics must be used, instead of the standard practice of using Newtonian Mechanics, to correctly calculate the statistical predictions for the dynamics of a low-speed system.

  • Comparison of newtonian and special-Relativistic trajectories with the general-Relativistic trajectory for a low-speed weak-gravity system.
    PLOS ONE, 2012
    Co-Authors: Shiuan Ni Liang
    Abstract:

    We show, contrary to expectation, that the trajectory predicted by general-Relativistic Mechanics for a low-speed weak-gravity system is not always well-approximated by the trajectories predicted by special-Relativistic and Newtonian Mechanics for the same parameters and initial conditions. If the system is dissipative, the breakdown of agreement occurs for chaotic trajectories only. If the system is non-dissipative, the breakdown of agreement occurs for chaotic trajectories and non-chaotic trajectories. The agreement breaks down slowly for non-chaotic trajectories but rapidly for chaotic trajectories. When the predictions are different, general-Relativistic Mechanics must therefore be used, instead of special-Relativistic Mechanics (Newtonian Mechanics), to correctly study the dynamics of a weak-gravity system (a low-speed weak-gravity system).

  • Dynamics of a bouncing ball
    Chaotic Systems, 2011
    Co-Authors: Shiuan Ni Liang
    Abstract:

    The dynamics of a bouncing ball undergoing repeated inelastic impacts with a table oscillating vertically in a sinusoidal fashion is studied using Newtonian Mechanics and general Relativistic Mechanics. An exact mapping describes the bouncing ball dynamics in each theory. We show that, contrary to conventional expectation, the trajectories predicted by Newtonian Mechanics and general Relativistic Mechanics from the same parameters and initial conditions for the ball bouncing at low speed in a weak gravitational field can rapidly disagree completely. The bouncing ball system could be realized experimentally to test which of the two different predicted trajectories is correct.

Anatoli Vankov - One of the best experts on this subject based on the ideXlab platform.

  • On Mass Problem in Relativistic Mechanics and Gravitational Physics
    2020
    Co-Authors: Anatoli Vankov
    Abstract:

    On Mass Problem in Relativistic Mechanics and Gravitational Physics Anatoli Vankov (dated 12.16.2003, e-mail: anatolivankov@hotmail.com) The proper mass of a test particle in General Relativity Theory (GRT) is a rest mass, so it is considered principally constant, just as in Kinematics of Special Relativity Theory (SRT). One may think that the same is true in SRT Mechanics (Dynamics). We found that a proper mass change occurs under a force action that is, during a transition from one inertial reference frame to another. The proper mass constancy in SRT Mechanics is, in fact, a weak field approximation leading to the Newtonian limit. We show that a variability of the proper mass is a fundamental physical phenomenon. It becomes especially important under strong field conditions, therefore, for understanding of the so-called self-energy divergence. The problem was seemingly overcome with help of the known renormalization procedure in Electrodynamics but not in gravitational field theory. GRT was shown to be nonrenormalizable. Our analysis of the SRT mass-energy concept showed that, after the proper mass variation was taken into account in SRT Mechanics equations, arguments for an exclusion of the gravity phenomenon from the SRT domain fell away. Moreover, this approach resulted in principal elimination of the gravitational divergence problem. Another new result concerned the speed of light. The conclusion was that the speed of light is not a fundamental physical constant: it is a physical quantity determined by a gravitational potential and has a cosmological meaning. In spite of radically different physical interpretation, the alternative approach to the gravitational problem gives an adequate description of weak-field gravitational experiments as GRT does: a numerical difference from GRT predictions is not meaningful. However, the difference in predictions progressively rises with field strength and an energy increase. One particular result concerns a behavior of a massive particle being in free fall in a gravitational field. In GRT, both a free particle and a photon, when approaching a gravitational center, tend to slow down, the particle speed being always less then the photon speed. In the SRT approach, the photon similarly slows down but not the particle. If so, superluminal particles exist. This is a new physical phenomenon, which may be called a gravitational refraction. We propose the experiment on the detection of superluminal particles in high-energy cosmic rays. It should be considered a new Relativistic test having a falsifying power in a strong-field domain. This work is mainly conceptual. The purpose is to present in a simple form for a wide physical community some results of our study of Relativistic Mechanics, in which a source of a gravitational field is the proper mass. The main conclusion is that the development of the SRT-based divergence-free gravitation field theory is possible. PACS 04.80.Cc Key words: 1. General relativity. 2. Special Relativity. 3. Superluminal particle. 4. Speed of light. 5. Experimental test.

  • Different Look at Relativistic Gravity and Related Phenomena
    2020
    Co-Authors: Anatoli Vankov
    Abstract:

    The work is devoted to the gravitational problem in the framework of Alternative Relativistic Mechanics developed, in which a field dependent proper mass was introduced, as opposed to the assumption of proper mass constancy in General Relativity Theory and conventional Relativistic Mechanics. New results are obtained. According to the alternative gravitational field concept, a photon propagates in a gravitational field as in a refracting medium what qualitatively explains the bending of light. Another important result is an elimination of classical 1/r potential field divergencies. Possible consequences of the alternative Relativistic mass concept in research areas related to the gravitational problem are discussed. In particular, a baryon symmetric (speculative) model of universe is suggested.

  • Proper Mass Variation under Gravitational and Coulomb Force Action in Relativistic Mechanics of Point Particle
    arXiv: General Physics, 2007
    Co-Authors: Anatoli Vankov
    Abstract:

    The problem studied is formulated in the title: proper mass variation under gravitational and Coulomb force action in Relativistic Mechanics of point particle. The novelty is that equations of motion are obtained in the Relativistic Lagrangean framework for conservative force fields under assumption of field dependent proper mass. The dependence of proper mass on field strength is derived from the equations of particle motion. The result is the elimination of a classical 1/r divergence. It is shown that a photon in a gravitational field may be described in terms of a refracting massless medium. This makes the gravity phenomenon compatible with SR Dynamic framework. New results concerning gravitational properties of particle and photon, as well as an experimental test of predicted deviation from 1/r^2 classical Coulomb force law are discussed. The conclusion is made that the approach of field-dependent proper mass is perspective for better understanding GR problems and further studies on divergence-free field theory development. Key words: Relativity; gravity; Coulomb; particle; photon; speed of light; proper mass variation. PACS: 03.30.+p, 04.20.-g

  • On Problem of Mass Origin and Self-Energy Divergence in Relativistic Mechanics and Gravitational Physics
    arXiv: General Relativity and Quantum Cosmology, 2003
    Co-Authors: Anatoli Vankov
    Abstract:

    The classical problem of self-energy divergence was studied in the framework of Lagrangian formulation of Relativistic Mechanics. The conclusion was made that a revision of mass-energy concept is needed for the development of singularity-free gravitational and electromagnetic field theory. Perspectives of the development of unified field theory are discussed.

Mohamed Elmansour Hassani - One of the best experts on this subject based on the ideXlab platform.

  • FOUNDATIONS OF SUPERLUMINAL Relativistic Mechanics
    Communications in Physics, 2015
    Co-Authors: Mohamed Elmansour Hassani
    Abstract:

    The paper provides an elementary derivation of new superluminal spatio-temporal transformations based on the idea that, conceptually and kinematically, each subluminal, luminal and/or superluminal inertial reference frame has, in addition to its relative velocity, its proper specific kinematical parameter, which having the physical dimensions of a constant speed. Consequently, the relativity principle and causality principle both are coherently extended to super- luminal velocities and, more importantly, this original approach constitutes the first basic step toward the formulation of superluminal Relativistic Mechanics, which is in fact a pure superluminalization of special relativity theory.

  • Superluminal Spatio-Temporal Transformations:first Basic Step Toward the Superluminal Relativistic Mechanics
    viXra, 2013
    Co-Authors: Mohamed Elmansour Hassani
    Abstract:

    The paper provides a crucial elementary derivation of new superluminal spatio-temporal transformations based on the idea that, conceptually and kinematically, each subluminal, luminal and/or superluminal inertial reference frame has,in addition to its relative velocity, its proper specific kinematical parameter,which having the physical dimensions of a constant speed. Consequently,the relativity principle and causality principle are coherently extended to superluminal velocities and, more importantly, this original approach constitutes the first basic step toward the formulation of superluminal Relativistic Mechanics in which the standard special relativity theory should be a particular case.

Florentino Borondo - One of the best experts on this subject based on the ideXlab platform.

  • Newtonian versus Special-Relativistic Statistical Predictions for Low-Speed Scattering
    PLOS ONE, 2012
    Co-Authors: Shiuan Ni Liang, Florentino Borondo
    Abstract:

    The statistical predictions of Newtonian and special-Relativistic Mechanics, which are calculated from an initially Gaussian ensemble of trajectories, are compared for a low-speed scattering system. The comparisons are focused on the mean dwell time, transmission and reflection coefficients, and the position and momentum means and standard deviations. We find that the statistical predictions of the two theories do not always agree as conventionally expected. The predictions are close if the scattering is non-chaotic but they are radically different if the scattering is chaotic and the initial ensemble is well localized in phase space. Our result indicates that for low-speed chaotic scattering, special-Relativistic Mechanics must be used, instead of the standard practice of using Newtonian Mechanics, to obtain empirically-correct statistical predictions from an initially well-localized Gaussian ensemble.

G Sardanashvily - One of the best experts on this subject based on the ideXlab platform.