About Some Applications of Mathematics

Abstract

In this paper, a new mass-velocity relation is derived. The orbit of planetary motion is deduced based on this new relation and the Newtonian
laws of motion along with the concept of proper time. The derivation does not use the tensor concept, but the relativistic orbit is obtained
as a first approximation of the modified Newtonian theory. Next, we discuss the possibility of introducing a field dependent metric for the EM field by
considering the observation that E² - c² B² or E² - B²  with c = 1 is approximately an invariant quantity for EM Field [1-3]. It is possible to extend the metric for the gravitational case also [4]. The discussion of anomalous characteristic of Lorentz Transformation (LT) and the introduction of a non-linear transformation connecting Local Space-time coordinates (ct,x) with proper system is continued.