Abstract

The theory of direct particle interaction proposed in our previous works is further developed. In this theory, the electromagnetic interaction is primary whereas the emergence of particle masses and gravity are its consequences. The equation of motion is generalized to arbitrary velocities of the selected particle (rather than small ones). With the introduction of an effective metric, a correspondence between this theory and General Relativity (GR) is established. It is shown that the theory reproduces GR effects associated with the Schwarzschild and Friedmann metrics: planetary perihelion shift, light deflection by a massive body, gravitational redshift and cosmological redshift. However, a general correspondence with GR is achieved under some restrictions (at sufficiently low speeds, small components of the gravitational potential, but sufficiently large accelerations). In the theory, there is a parameter with the dimension of acceleration, approximately equal to \(7\times 10^{-10}\) m/s\({}^{2}\) and close to the parameter \(a_{0}\) in modified Newtonian dynamics (MOND). Perhaps our theory can serve as a theoretical basis for MOND.

中文翻译：

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粒子质量和重力的电磁起源：一个相对论

摘要

我们先前工作中提出的直接粒子相互作用理论得到了进一步发展。在该理论中，电磁相互作用是主要的，而粒子质量和引力的出现是其后果。运动方程式一般化为所选粒子的任意速度（而不是较小的速度）。随着有效度量的引入，该理论与广义相对论（GR）之间建立了对应关系。结果表明，该理论再现了与Schwarzschild和Friedmann度量标准相关的GR效应：行星近日点偏移，大物体的光偏向，引力红移和宇宙学红移。但是，在某些限制下（在足够低的速度，重力势的较小分量，但加速度足够大）。从理论上讲，有一个参数的加速度大小，大约等于\（7×10 ^ {-10} \） m / s \（{} ^ {2} \），并在修改的牛顿动力学（MOND）中接近参数\（a_ {0} \）。也许我们的理论可以作为MOND的理论基础。