Abstract
<p class="1Body">A summarization of the Alcubierre metric is given in comparison to a new metric that has been formulated based on the theoretical assertion of a recently published paper entitled “gravitational space-time curve generation via accelerated particles”. The new metric mathematically describes a warp field where particle accelerators can theoretically generate gravitational space-time curves that compress or contract a volume of space-time toward a hypothetical vehicle traveling at a sub-light velocity contingent upon the amount of voltage generated. Einstein’s field equations are derived based on the new metric to show its compatibility to general relativity. The “time slowing” effects of relativistic gravitational time dilation inherent to the gravitational field generated by the particle accelerators is mathematically shown to be counteracted by a gravitational equilibrium point between an arrangement of two equal magnitude particle accelerators. The gravitational equilibrium point produces a volume of flat or linear space-time to which the hypothetical vehicle can traverse the region of contracted space-time without experiencing time slippage. The theoretical warp field possessing these attributes is referred to as the two gravity source warp field which is mathematically described by the new metric.</p>
Highlights
A theoretical warp field and a space-time metric is mathematically formulated based on the theoretical notion of the generation of gravitational space-time curves produced by massive charged particles accelerated to the precipice of the speed of light introduced by the Gravitational space-time curve generation via accelerated particles paper (Walker, 2016)
The metric of equation 2.38 shown above is the “Velocity Based Gravitation by Accelerated Particles metric” (VBGAP) due to the fact that the displacement through space-time is measured at the system velocity and the compression or contraction of space-time ( ) caused by the gravitational fields generated by the Particle accelerators
This section gives the mathematical description of a hypothetical vehicle traveling at a sub- light velocity hoisting two particle accelerators that generate two gravitational fields of equal magnitude which produce an area of flat space-time at an equilibrium point in between them as shown in the previous section
Summary
A theoretical warp field and a space-time metric is mathematically formulated based on the theoretical notion of the generation of gravitational space-time curves produced by massive charged particles accelerated to the precipice of the speed of light introduced by the Gravitational space-time curve generation via accelerated particles paper (Walker, 2016). To avoid confusion (as stated in the “Gravitational space-time curve generation via accelerated particles” paper (Walker, 2016), it must be noted that relativistic mass dilation is different from the variation of variable mass or inertial as the particle approaches the speed of light This can be conveyed by setting variable inertial mass equal to the product of the variable inertial mass and the Lorentz factor as shown below (Young & Freedman, 2004; Walker, 2016). The metric of equation 2.38 shown above is the “Velocity Based Gravitation by Accelerated Particles metric” (VBGAP) due to the fact that the displacement through space-time is measured at the system velocity (where velocity is less than the speed of light < ) and the compression or contraction of space-time ( ) caused by the gravitational fields generated by the Particle accelerators.
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