Acceleration and Evolution

Perhaps the most significant discovery of Modern Physics is the correspondence between Force and Acceleration.  The discovery refutes any common-sense perception of Motion as Constant Velocity, as well as complicating Aristotle's attribution of 'perfection' to circular motion.  It also challenges the concept of Mechanical Causality as connoting rigidity.  Likewise, the concept of the Conservation of Energy does not connote non-changing Motion, i. e. a system in which total Energy is conserved can be one that is accelerating indefinitely.  Thus, corresponding to Vital Force is Life that is increasing in some respect.  Now, insofar as the increase is constant, that Force can be characterized as Survival, Persistence in Being, etc.  But insofar as it consists in increase, the principle can only be Evolutionary in some respect.  So, it is not by virtue of the generation of novelty that Evolution is distinguished from, say, Gravity, i. e. Motion caused by the latter can be analyzed as constituted by differential 'leaps', just as they are represented in Calculus.