FIELD-BOOST TRANSFORMATIONS AND MAXWELLS EQUATIONS

We describe the unification of space and time as a way of seeing veloc ities and the difference of gravitational potentials as resembling ang les in space-time. This means that all fundamental interactions includ ing gravity are described as viewed from inertial frames of reference, which is in agreement with the fact that ''actual'' gravitational fie lds also exist in inertial frames of reference. Within this framework, the velocity and the gravitational potential of the observer may ente r inter the transformation matrix, that is, the equations of transform ation of the coordinates of a point event are given by a ''field-boost '' matrix, which encompasses the effects caused by gravity and motion. The distance along the direction of the field between two inertial fr ames is constant, which means that the transformations with respect to a ''field boost'' are global. Because the ''field-boost'' transformat ions occur with the transformations with respect to a Lorentz pure boo st, they also preserve the interval between two given events. Thus we have a flat space-time with a gravitational field embedded in it, whic h seems to be equivalent to an empty curved space, in the sense that b oth descriptions give the same numerical result for the relativistic e ffects on the solar system. Finally, we verify that this approach is, in fact, an extension of the principle of relativity, that is, Maxwell 's equations are covariant relative to the ''field-boost'' transformat ions.