The Abraham Zelmanov Journal

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Title Geodesics and Finslerian equations in the EGR theory
Author Patrick Marquet
Abstract In the framework of the EGR theory, introduced recently by the author as a non-Riemannian extension of the General Theory of Relativity, the geodesic equations for a free neutral particle have the same form as those in Riemannian geometry except that they describe the particle's motion together with its own gravitational field, thus forming a global dynamical massive entity. In this paper, we show that in the case of a charged mass moving in an external electromagnetic field, the gravitational field of the global mass interacts with the electromagnetic potential through its current density. This interaction process must necessarily take a place in order for the global charge's lines of motion to satisfy a differential Finslerian system of equations whose form is similar to that of Riemannian geometry, as is the case for the neutral particle's geodesics. This result represents further evidence that the EGR model is an appropriate description of the mass and its subsequent gravitational field as a whole.
1. Marquet P. The EGR theory: An extended formulation of General Relativity.
The Abraham Zelmanov Journal, 2009, vol. 2, 148-170.

2. Marquet P. Behaviour of the EGR persistent vacuum eld following the Lichn
erowicz matching conditions. The Abraham Zelmanov Journal, 2010, vol. 3,

3. Marquet P. On the physical nature of the wave function: A new approach
through the EGR theory. The Abraham Zelmanov Journal, 2009, vol. 2, 195-207.

4. Marquet P. The matter-antimatter concept revisited. Progress in Physics,
2010, vol. 2, 48-54.
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