Abstract
A force with an acceleration that is equal to multiples greater than the speed of light per unit time is exerted on a cloud of charged particles. The particles are resultantly accelerated to within an infinitesimal fraction of the speed of light. As the force or acceleration increases, the particles’ velocity asymptotically approaches but never achieves the speed of light obeying relativity. The asymptotic increase in the particles’ velocity toward the speed of light as acceleration increasingly surpasses the speed of light per unit time does not compensate for the momentum value produced on the particles at sub-light velocities. Hence, the particles’ inertial mass value must increase as acceleration increases. This increase in the particles’ inertial mass as the particles are accelerated produce a gravitational field which is believed to occur in the oscillation of quarks achieving velocities close to the speed of light. The increased inertial mass of the density of accelerated charged particles becomes the source mass (or Big “M”) in Newton’s equation for gravitational force. This implies that a space-time curve is generated by the accelerated particles. Thus, it is shown that the acceleration number (or multiple of the speed of light greater than 1 per unit of time) and the number of charged particles in the cloud density are surjectively mapped to points on a differential manifold or space-time curved surface. Two aspects of Einstein’s field equations are used to describe the correspondence between the gravitational field produced by the accelerated particles and the resultant space-time curve. The two aspects are the Schwarzchild metric and the stress energy tensor. Lastly, the possibility of producing a sufficient acceleration or electromagnetic force on the charged particles to produce a gravitational field is shown through the Lorentz force equation. Moreover, it is shown that a sufficient voltage can be generated to produce an acceleration/force on the particles that is multiples greater than the speed of light per unit time thereby generating gravity.
Highlights
It has been shown that a gravitational field can be generated by the oscillation of a quark in a paper written by author Eli Peter Manor published in 2016 in the Journal of Modern physics [1]
The aim of this paper is to show that a gravitational field can be produced as the inertial mass of a charged particle increases when accelerated to the verge of the speed of light via an electromagnetic field
The force associated with the Casimir effect describing vacuum energy was confirmed by an experiment conducted by physicist Steven Lamoreaux in 1996 [6]
Summary
It has been shown that a gravitational field can be generated by the oscillation of a quark in a paper written by author Eli Peter Manor published in 2016 in the Journal of Modern physics [1]. As the force acting on the particles increase with an invariant approximate velocity of 99% the speed of light; the corresponding force of gravity increases proportionally This implies that a curvature in space-time is generated by the cloud of accelerated charged particles. Two descriptions using Einstein’s field equation are shown to correlate to the surjective mapping from the domain of the particle acceleration number and the number of particles to the codomain of points or displacements on the space-time curve produced by the accelerated cloud. The electromagnetic force or Lorentz force equation is used to show that it is possible to obtain a sufficient voltage to accelerate a cloud of charged particles to a velocity that is an infinitesimal fraction below the speed of light to produce a gravitational field and/or space-time curve
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