Imagine for a moment an endless diamond, completely solid and pristine. No flaws or gaps in the structure. Suppose at some point in the density of the material something strange occurs in that a deformation appears out of nowhere which splits into two waves. Should these two waves interact again with each other, the deformation disappears. However should they separate enough then one of the waves, which we shall call the baryon wave, is stable by itself. This wave has the strange property that it is a traveling decrease in density of the diamond. There is no "other" material, only the decrease in something we shall have to think of as the vacuum (energy) density. The wave apparently has the ability to pass through or combine into structures with other baryon waves but has no ability to disappear back into a pristine diamond if there is no second deformation wave present, which we do not cover in this essay. Suppose that a certain combination of these first waves were to become sentient. Would they be able to detect that they are a moving wave or would their perceptions lead them to a misunderstanding of how these waves effect the very substance that they are traveling within and so not realize there exists another class of solutions for tensors (scalars, vectors and so on)? Is there a way to determine that the actual density is a fairly good model for their universe? If so, what mathematics would be required in order to describe it much better than other models which the sentient waves have based on their physical perceptions? It is due to this question that we present our proposed answer of a modication of calculus. In order to fully describe the baryon wave, the dimensions they create with their presence, the limited radius distortions they cause and even the substance itself we must re-evaluate our understanding of calculus in order to model them as the derivatives of finite Action area integrals. We propose that in order to understand how the universe stores information, we must have a foundational basis for these areas, and in order to understand how it processes information we must ensure that we have within the literature all classes of its derivatives (directional derivatives, divergence, etc.). We do not go into details in this essay, but our proposed future path is to accomplish this via a modification of Gunnar Nordstroem's gravitational theory, an early competing model to General Relativity worked on by Nordstroem, Einstein and Fokker (see [1] for a recent review). This model was discarded by Einstein and others since it did not predict gravitational lensing, a problem which our modication would seem to have the possibility of remedying (see final assertions). Therefore in this essay we introduce our different view point of calculus, named "Area" Calculus in order to distinguish the concept from the mainstream variety which we will refer to as "Single Function" Calculus.