Still bugged by Einsteins thermal property of the vacuum

 Energy radiated seems to be limited by the energy mass equivalence,.  Energy is quantized in Einstein's formula, which was originally from Plank.

In the numerator of the exponential is the Plank quantization of light, and that includes a factor of 1/2 when you reduce units.  It simply means that space will hit  the Nyquist frequency when your signals are quantized as a fixed proportion of the sample rate. In the vacuum of free space, when the signal hits the Nyquist, the vacuum will simply disperse the energy. It will still radiate the energy, it just won't radiate over a straight line. As near as I can tell, the vacuum still has 10e17 more samplers than Plank had wavelength units, the wave form simply disperses.

The mass/energy equivalence is correct, it just isn't what limits free space.  The mass energy equivalence is simply running out of vacuum density to maintain mass, it is the Higgs limit. The Higgs limit tells us that we only have about a few hundred bubbles of vacuum to stabilize the next unit of mass.  That is when we reach the bandwidth of the vacuum, and the impedance of the vacuum comes into effect.  But we still have stable gluon wave numbers, about 20 orders above atomic wave numbers.

The Compton effect rules, which is the bandwidth limit effect of quantization, or momentum, and it will appear up and down the quant chain way before we hit the bandlimit of space. Experience with relativity bears this out, we always see velocity effects way before square velocity effects. Even in the electron orbitals, the corrections seem limited to momentum, and we generally assume the electron mass stays whole. Here is an experiment, by the way. Chop the electron into eights, then skip the spin quant, see if you still get good results.

So when do we have to make the 'SpaceTime' correction for red shift? Well, the vacuum has to do a Taylor series expansion of sine(x), it has no TI calculator. When delta sine(x) is around  Plank * E-16, you have problems, you run out of vacuum multiprocessors to to a Taylor series.

I am serious about the Taylor expansions.

Relative to nulls, light quantizes in powers, and above the noise of the vacuum, the vacuum is grouping and ungrouping horizontal wave in units of:
 (1/2+sqrt(5)/2)^n, n being around 5,6,7; a few orders above noise. The vacuum does this everywhere, that is why it can compute hyperbolic values to great accuracy.