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Gravitational Waves. Introduction to the Gravitational Wave Equation

Authors: Vegt, Wim;

Gravitational Waves. Introduction to the Gravitational Wave Equation

Abstract

Gravitational Waves represent the transport of Gravitational Energy through Space. Equation (103) represents the “Gravitational Wave Equation”. The article presents a new theory in physics which explains the interaction between gravity and light with mathematical results close to General Relativity (15 digits beyond the decimal point equal result) and unifies General Relativity with Quantum Physics by the fundamental elementary particle: the GEON. The GEON [1] is a fundamental solution of the relativistic quantum mechanical Dirac equation (Quantum Physics) and the confinement has been controlled by the fundamental interaction between Gravity and Light (General Relativity). The GEON is the most fundamental elementary particle and can be created by the compression of light into extremely high densities. The GEON appears when an equilibrium has been established between the expanding radiation pressure of light and the confining gravitational force of light. The GEON is the fundamental solution of the relativistic quantum mechanical Dirac equation. For this reason the GEON particle unifies Quantum Physics with General Relativity. The confinement of GEONS is only possible at discrete values. (Quantisation of Energy, Light and Gravity). The GEON carries the mass inside the structures of matter (Elementary Particles). The radius of a GEON with the mass of a proton (1.67×10-27 kg) equals 3 10-58 [m]. [30] PlotGraph 3, page 24. The GEON represents the creation of matter/anti-matter by Electromagnetic-Gravitational interaction. The new theory in physics has been based on the “divergence-free linear 4-dimensional stress-energy tensor in the Minkowski Space”. The difference between Einstein’s General Relativity and this theory is the different approach. Einstein has deformed (non-linear and non-divergence free) the “4-dimensional Stress-Energy Tensor” by introducing the curved 4-dimensional Riemannian Manifold to explain the interaction between Gravity and Light. The new theory describes the interaction between different fields (Electric, Magnetic and Gravitational) by identical interaction terms, generated by the separate divergence and the separate rotation of the different fields. (equation 24). The theory describes “Electromagnetic-Gravitational Interaction”, “Magnetic-Gravitational Interaction” and “Electric-Gravitational Interaction”. In this new theory particles do not interact with fields. The interaction between an electric charged particle and an electric field is not the interaction between a particle and a field but it is the interaction between the electric field of the particle interacting with the other electric field. Every interaction is an interaction between fields. Electric Fields interact with Electric Fields , Magnetic Fields interact with Magnetic Fields and Gravitational Fields interact with Gravitational Fields. Electric Fields interact with 1st order Lorentz Transformed Magnetic Fields. Magnetic Fields interact with 1st order Lorentz Transformed Electric Fields. Gravitational Fields have been created by accelerated (Confined) 2nd order Lorentz Transformed Electromagnetic Fields. Electromagnetic Fields interact with 2nd order Lorentz Transformed Gravitational Fields. Gravitational Fields interact with 2nd order Lorentz Transformed (Confined) Electromagnetic Fields. This has been called: “Electromagnetic-Gravitational Interaction”.When Isaac Newton published his 3 famous equations which became the foundation of Classical Dynamics, he was not aware that he was building the first elemental blocks for the Stress-Energy Tensor in the 4-dimensional Minkowski Space.When James Clerk Maxwell published his 4 famous equations which became the foundation for Classical Electrodynamics, he was not aware that he was building new blocks for the Stress-Energy Tensor in the 4-dimensional Minkowski Space.When Paul Dirac published his famous equation which became the foundation of Relativistic Quantum Physics, he was not aware that he was building further on blocks for the Stress-Energy Tensor in the 4-dimensional Minkowski Space.It was Albert Einstein who was one of the first physicists who discovered the importance of the Stress-Energy Tensor to describe in a mathematical way the interaction between Electromagnetic Radiation and a Gravitational Field.Because there was no match, Einstein deformed the Divergence-Free Linear “Stress-Energy Tensor” by deforming Space and Time. Using curved Riemannian manifolds, he deformed the fundamental Tensor in physics in such a way that he found a very special Mathematics to describe the interaction between Electromagnetic Radiation (Light) and a Gravitational Field. The Theory of General Relativity.

Keywords

Quantum Field Theory, Gravitational Lensing, General Relativity, Gravitational-Electromagnetic Interaction, GEONs, Gravitational Wave Equation

[2] Sven Herrmann, Felix Finke, Martin Lülf, Olga (et. Al.) l; Test of the Gravitational Redshift with Galileo Satellites in an Eccentric Orbit ;Phys. Rev. Lett. 121, 231102 - Published 4 December 2018; Gravitational Redshift Test Using Eccentric Galileo Satellites, DOI: 10.1103/PhysRevLett.121.231102

[3] Vegt, J. W. A Continuous Model of Matter based on AEONs, Physics Essays, Volume 8, Number 2, 1995, DOI: 10.31219/osf.io/ra7ng

[4] Mathematical Solutions for the Propagation of Light in Quantum Light Theory, Calculations in Mathematica 13.1: https://community.wolfram.com/groups/- /m/t/2576692?p_p_auth=mTldHX3v

[5] Gravitational RedShift between two Atomic Clocks, Calculations in Mathematica 13.1: https://community.wolfram.com/groups/-/m/t/2622560?p_p_auth=EC8QO0Xz

[6] Propagation of Light within a Gravitational Field in Quantum Light Theory, Calculation in Mathematica 13.1: https://community.wolfram.com/groups/- /m/t/2576537?p_p_auth=iljE3giH

[7] Raymond J. Beach; A classical Field Theory of Gravity and Electromagnetism; Journal of Modern Physics; 2014, 5, 928-939

[8] Maxwell; James Clerk; A dynamical theory of the electromagnetic field; 01 January 1865; https://royalsocietypublishing.org/doi/10.1098/rstl.1865.0008

[9] A. Einstein; On the Influence of Gravitation on the Propagation of Light; Annalen der Physik (ser. 4), 35, 898-908, http://myweb.rz.uniaugsburg.de/~eckern/adp/history/einstein-papers/1911_35_898-908.pdf

[10] Mahendra Goray, Ramesh Naidu Annavarapu, Rest mass of photon on the surface of matter, Results in Physics 16 (202) 102866, January 2020, DOI: 10.1016/j.rinp.2019.102866

[11] Genova, A., Mazarico, E., Goossens, S. et al. ; Solar system expansion and strong equivalence principle as seen by the NASA MESSENGER mission; Nat Commun 9; 289 (2018). DOI: 10.1038/s41467-017-02558-1

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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