Einstein crosses and rings

In sample data systems these just become the beat frequency of the wave front when when under sampled because to significant phase shift. The radius of curvature along the minimum phase path is near the frequency of the light. The sample rate remains the same, but the sample phase changes along the curvature. The vacuum simply falls behind and cannot form the wave front before the next wave change appears.  Spacially, two wave fronts end up getting grouped. 

So relativity simply falls out from sampling theory, much less exotic. The way to compare the two methods is to think of sampled data systems as doing numerical summations, rather than trying to stretch out some continuous variable of integration.

If this fair or am I cheating the math model?  Even if you believe that universe is infinitely stretchable, the observer instruments are not. So one can always model the process as a discrete system, up to the SNR of the users instrument.  So, it is perfectly fair.

Schwarzschild radius is the same thing. The gravity density changes the sampling phase along the gradient and the sampling phase transverse simply reforms the wave transverse to gravity, it goes no where..