SD Hypothesis of Inhomogeneous Motion over Time Intervals: A Theoretical Physical Approach

Abstract

Considering the frame of Classical and Newtonian Mechanics, the SD hypothesis is a particular case where the magnitude of acceleration of a particle is twice the magnitude of velocity. Previously, considering the instantaneous motion of a particle moving in a straight line under constant acceleration, kinematic factors at a particular instant have been formulated and henceforth have been termed the SD factor of the particular particle. This means that at a time known as SD time, where the SD hypothesis is valid, the kinematic factors of the particle, such as acceleration, velocity, and position at the particular instant (displacement traversed), are all formulated concerning acceleration and time. Now, a theoretical approach is taken further to get into a deeper analysis and find out whether the SD hypothesis can be validated for a long interval or not. Also, the validation is done for uniform motion and constant acceleration. This approach will also conclude whether the hypothesis can be used for non-uniform motion or not. However, linear motion is still considered throughout this approach.