Abstract
Using Poisson equation beside Maxwell distribution law for very hot star core consisting of elementary particles one can find new Poisson equation. This equation predicts existence of short range gravity force. This short force may have a link with short range nuclear force, thus raises a hope in unifying gravity and nuclear force. This short range field beside long range field secures singular finite self-energy. This central role of potential in unifying self-energy for high relativistic particles at star cores requires seeking Lorentz transformation that accounts for effect of fields. This work derived new Lorentz transformation for accelerated frame. This transformation is potential dependent and reduces to SR and explains time dilation and gravitational red shift.
Highlights
The history of gravitational field dates starts from the Newton inverse square law of gravitation [1]
This is since the speed of light is not affected or changed by the motion of the source or the observer or both. This fact in direct conflict with Newton’s law, especially the law of velocity addition the Galilean transformation [3]. This conflict was removed by the famous Einstein theory of special relativity (SR) which uses Lorentz transformation instead of Galilean transformation
The relativistic behavior of particles in this short or long range field can be found by seeking Lorentz transformation that accounts for the effect of fields
Summary
The history of gravitational field dates starts from the Newton inverse square law of gravitation [1] This law explains successfully the motion of freely falling objects towards the earth surface. This conflict was removed by the famous Einstein theory of special relativity (SR) which uses Lorentz transformation instead of Galilean transformation This SR changes radically the motion of space and time. Later on Einstein generalizes SR to the so called general relativity (GR) to explain the gravitational phenomena [5, 6]. It assumes that the gravity results from the space bending made by matter [7].
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