ABSTRACT

Newton's laws form the basis for classical mechanics, directly relating the forces acting on a body to the motion of that body. Between 1685 and 1686 Sir Isaac Newton composed his famous Principia Mathematica, one of the most well-known and influential scientific texts of all time. The process of finding a derivative is called differentiation. The fundamental theorem of calculus states that differentiation is the reverse process to integration, another obviously related branch of mathematics. Intuitively the same is not true of computation and information. In theoretical physics, the WheelerdeWitt equation is a functional differential equation. The sausage machine analogy can be enhanced to provide a more complete understanding of time within a computational framework. Thus each possibility seems to imply its own negation and we end up with the same sort of oscillatory paradox found in the halting problem proof.