More on Spacetime

To recap, Spacetime is the field which governs motion. It is also the field from which all other fields draw their energy. There is a maximum potential energy (purely theoretical inside the universe, of course, as everywhere has something going on), and a minimum of zero. Thus, black holes are hollow, with a shell of maximum density where the spacetime energy drops to zero. (It's all being used up by everything else.) Proper time depends on the available energy of spacetime, and where this is zero, there is no time, and thus no motion. Nothing at all happens inside a black hole, which is profoundly weird. The "time" portion of spacetime has gone to zero, so the "Space" portion essentially is a meaningless "divide by zero error". It is effectively a hole that everything else bunches up against. In the curves of physics, a2 + b2 = c2, where c=1, but only where 0≤a≤1 and 0≤b≤1. You can't have anything less than zero or more than one, so the range of possibilities is limited by the function that defines them. That which cannot exist, does not.

This definition shows that black holes must be hollow, and explains cosmic expansion in the early universe. Think of the space portion of spacetime as the Y axis, and time as the X axis, and the spacetime as the curve. Thus, where there is maximum potential energy (the horizontal limit at the top of quarter circle), time flows freely at its maximum rate where the tangent to the curve is horizontal, and space is not stretched at all. And where potential energy is zero, time does not flow at all where the tangent is vertical, but space is stretched to infinity (divide by zero error). That which cannot exist, does not. So the (quarter) circle formula of the observable universe where the laws of physics hold has limits of 0≤x≤1 and 0≤y≤1. Physics is undefined at the zero energy potential energy level. There can be no change, no motion, no time, no anything inside the hollow shell of a black hole. So where the lower limit must be greater than zero, the upper limit cannot ever truly equal one. So this devolves to 0<x<1 and 0<y<1 for particles with mass. (They would need gain or shed more energy than available to go that extra bit faster or slower.)  So we get back to an effectively hyperbolic definition of physics.

Addendum: The curves used to illustrate Alcubierre drives are good to show how momentum and red/blue shift curves work. Illustration stolen shamelessly from someone who stole it, etc.