# energy input into the CMB

08 May 2013The CMB is produced in thermal equilibriumâ€¦. would it be possible to notice if there was some extra energy put into it? What consequences could this have, depending on the way it was done?

maths bonus question: What are the asymptotes of \(\exp(\tanh(x))\) for \(x\rightarrow\pm\infty\) and what is the slope at \(x=0\)?

physics bonus question: Can you derive the energy-time-uncertainty from the momentum-position-uncertainty in quantum mechanics?