CMB as Hawking Radiation

This calculator interprets the Hubble constant as gravitational redshift. The resulting observable limit can be considered as a special type of Schwarzschild radius rs. For this persepective, we should expect blue shifted Hawking radiation.

\[T_{observed} = \frac{\hbar c}{4\pi k_b r_s} \left(\frac{1}{\sqrt{1-\frac{r_s-2l_p}{r_s}}}-1\right)\] \[T_{observed} = \frac{\hbar H}{4\pi k_b}\left(\frac{1}{\sqrt{1-\frac{r_s-2l_p}{r_s}}}-1\right)\] \[H = \frac{c}{r_s}\] \[g = \frac{c^2}{2r_s}\]

Temperature Calculator

Constants:

c = 299792458 m/s

ℏ = 1.054571817e-34 J⋅s

k_b = 1.380649e-23 J/K

l_p = 1.616255e-35 m