To further clarify the understanding of the foundations of our new Integral Geometry theory, a counterargument to General Relativity (GR), we seek to find an exact point where we diverge. This point is our current goal of seeking an equation with which all can agree philosophically and subsequent GR equations for which we do not. It is the equations upon which we agree and do not agree that we view as two branching notational/philosophical paths.
We will initially present a short history on the path of General Relativity, emphasizing alternate theories and disputes, and where GR finds itself in 2016. We then give a basic presentation for our proposed starting point, the geometric explanation given by Bernard Riemann in On the Hypotheses which lie at the Bases of Geometry (Ueber die Hypothesen, welche der Geometrie zu Grunde liegen.), and our fundamental disagreement. It is the goal of this presentation to familiarize the audience with both the basis for our dispute as well as historical disputes concerning the development and interpretation of General Relativity.