A Theory of Gravity and General Relativity based on Quantum Electromagnetism
J. X. Zheng-Johansson
备注：
This edition: updated references and text of arxiv:physics/0612096v2. arxiv:physics/0612096v2: presentation at Int Conf Integrable Systems and Quantum Symmetries ISQS25, Prague, 2017, 12 pages. arxiv:physics/0612096v1: Dielectric theory of the vacuum, 10 pages, 2 figures
Based on first principles solutions in a unified framework of quantum mechanics and electromagnetism we predict the presence of a universal attractive depolarisation radiation (DR) Lorentz force ($F$) between quantum entities, each being either an IED matter particle or light quantum, in a vacuuonic dielectric vacuum. Given two quantum entities $i=1,2$ of either kind, of characteristic frequencies $ν_i^0$, masses $m_i^0=hν_i^0 / c^2$ and separated at a distance r^0, the solution is $F=- G m_1^0 m_2^0/ (r^0)^2$, where $G= χ_0^2 e^4/12 π^2 ε_0^2 ρ_λ$, $χ_0$ is the susceptibility and $ρ_λ$ is the reduced linear mass density of the dielectric vacuum. This force $F$ is accurate at the weak $F$ limit and resembles in all respects Newton's gravity; hence $G$ is the gravitational constant. The DR wave fields and hence the gravity is propagated in the dielectric vacuum at the speed of light $c$; these can not be shielded by matter. A test particle $μ$ of mass $m^0$ at $r^0$ apart from a large mass $M$ is therefore gravitated by all of the building particles of M directly, by a total gravitational potential $V = -G M m^0/ r^0$. For a finite $V$ and hence a total Hamiltonian $H= m^0 c^2 +V$, solution for the eigenvalue equation of $μ$ presents a red-shift in the eigen frequency $ν= ν^0 (1- GM/r^0 c^2)$ and accordingly other wave variables. The quantum solutions combined with the wave nature of the gravity further lead to dilated gravito optical distance $r=r^0/(1- GM/r^0 c^2) $ and time $t=t^0/(1- GM/r^0 c^2) $, and modified Newton's gravity and Einstein's mass energy relation. Applications of these give predictions of the general relativistic effects manifested in the four classical test experiments of Einstein's general relativity (GR), in direct agreement with the experiments and the predictions given based on GR.
The use of the bivectors in the General Relativity with Newman-Penrose formalism is important to the description of the exact solutions of the Einstein's field equations. This review is devoted to introduce the basic ideas with calculation details of the bivectors in Newman-Penrose formalism through conversion of the complex self-dual electromagnetic field from orthornormal Minkowski basis to bivectors in the complex null tetrad basis. Furthermore, in this context, it is obtained the complex coefficients of the Weyl tensor in Newman-Penrose formalism.
This is the second of three papers I will present as an application of the Basic Unit System concept, a complex mathematical unit presented in The Basic Unit System concept and The Principle of Synergy. In this case this Bus concept is used as a powerful tool to obtain again the Lorentz Transformation Groups of equations, and then to present the emergent proposal that the fundamental is the magnetic field, and not the charge concept. The need to obtain "waves solution" is solved concomitant with the Bus concept as we have seen in the physics/9908040 .
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