1. Consider a circle whose area is supposed to be 1.
2. A light source L located at the center of this circle will possess the same strength from center to circumference for L/1 = L, which is the same thing as saying that there is no difference between center and circumference.
3. If there is no such difference, then either the circle has no area and no radius (it is a point), or it has infinite area and an infinite radius (it is a line); if there is no such difference, then the light from L is either infinitely concentrated or infinitely diffused.
4. But in our experience there is always a finite balance of concentration and diffusion.
5. Since 1 over the square root of pi is approximately equal to e to the negative gamma, a measure that is better able to capture the dynamism we seek than pi is e to the 2 gamma.
6. This is because gamma is the limit of a potentially infinite number of values.
7. If s = 1, we get a spiral that unfolds forever.
8. If s is a positive real number other than 1, we get a spiral whose number of unique revolutions is strictly finite.
9. If s = 1, then there is an approximately symmetrical relationship between light and space, and the new formula will make predictions which are similar to those yielded by 1/r^2.
10. If however s is a positive real number other than 1, the balance is strongly tipped toward light (extreme example the singularity of concentrated light at the root of the universe), or conversely toward space (extreme example the interior of black holes), and the new formula makes entirely different predictions than 1/r^2.
11. When s != 1, the region of space described by the new law curves back on itself. In these light or space dense environments, curvature -as a function of light density or sparsity- is far greater. But all of these degrees of curvature -and everything in this universe- are governed by the same equation.
12. We can use this equation to extend the inverse square law, and to extend Newton’s/Einstein’s law of gravity beyond regions in which there is a balance of light and space, to all regions amenable to mathematical description.
13. The governing principle that keeps the balance of light and space in this universe is the Riemann Hypothesis.
14. The Riemann Hypothesis is equivalent to the inequality of P and NP.
15. This distinction there is between long-ranged (smooth) and short-ranged (non-smooth) manifolds, and between P (polynomial time computation) and NP-Hard (exponential time computation) impels solutions to the remaining Millennium Problems.
16. A solution to the Mass-Gap problem falls out of the distinction; if the Poincare Conjecture, or Birch, Swinnerton-Dyer Conjecture, or Hodge Conjecture is false, then the distinction doesn’t hold; and if there are any solutions to the Navier-Stokes equations, the distinction doesn’t hold.