EMBODIMENTS OF XPXP

This is a model of an exponentially expanding universe, therefore it requires a knowledge of exponential mathematics.  Because the universal expansion coefficient Ho is infinitesimal, the exponential nature of motion is not noticeable on a local scale.  But on large scales, universal motion is logical and consistent when described by the Hubble/LeMaitre law.  IT IS NOT POSSIBLE TO ACCURATELY DESCRIBE THE XPXP  UNIVERSE WITH NON-EXPONENTIAL MATHEMATICS. This is why the standard model fails.

Exponential equations should reduce to classical equations (correspondence principle), and they do. 

  The Hubble Flow is the obvious expression of universal exponential expansion (XPXP). However, XPXP also explains local situations which seem to have no relation to an expansion. “Embodiments” of the expansion are shown below. They differ from the cosmic flow because of the distribution and amount of matter present. But it is shown that the same principles apply to 3 expansions: THE COSMOS, CONCENTRATED MATTER, and SPIRAL GALAXIES. One significant discovery is that "GRAVITATION" is an expansion of the space surrounding a concentrated mass...and does not apply to all distributions of matter. A variable exponential expansion coefficient, H, determines the character of that embodiment. The Universal Hubble constant, Ho, is the familiar expansion coefficient for the universe. Ho for other expansions is determined by the parameters of those expansions.