Relativistic Newtonian dynamics

10th Biennial Conference on Classical and Quantum Relativistic Dynamics of Particles and Fields

Friedman, Yaakov^1 ; Mendel Steiner, Joseph^1

Jerusalem College of Technology Departments of Mathematics and Physics, P.O.B. 16031, Jerusalem

9116001, Israel^1

关键词: Conservative force;    Escape trajectories;    General Relativity;    Gravitational accelerations;    Gravitational potential energy;    Massless particles;    Newtonian dynamics;    Ssbauer spectroscopies;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/845/1/012028/pdf
DOI  :  10.1088/1742-6596/845/1/012028

来源: IOP

【 摘 要 】

A new Relativistic Newtonian Dynamics (RND) for motion under a conservative force capable to describe non-classical behavior in astronomy is proposed. The rotor experiments using Mössbauer spectroscopy with synchrotron radiation, described in the paper, indicate the influence of non-gravitational acceleration or potential energy on time. Similarly, the observed precession of Mercury and the periastron advance of binaries can be explained by the influence of gravitational potential energy on spacetime. The proposed RND incorporates the influence of potential energy on spacetime in Newton's dynamics. The effect of this influence on time intervals, space increments and velocities is described explicitly by the use of the concept of escape trajectory. For an attracting conservative static potential we derived the RND energy conservation and the dynamics equation for motion of objects with non-zero mass and for massless particles. These equations are subsequently simplified for motion under a central force. Without the need to curve spacetime, this model predicts accurately the four non-classical observations in astronomy used to test the General Relativity.