(January 5, 2024 at 11:51 am)neil Wrote:(January 5, 2024 at 10:52 am)Angrboda Wrote: I don't know that the redshift and the CMBR are related in the way you think. The first evidence for the redshift came from stars. To answer your question, the red shift was ascertained because the light from a star does not come from one single wavelength but consists of a spectrum of wavelengths. Depending upon the material involved, this spectrum will have peaks at specific wavelengths. These peaks form a specific identifiable pattern that, like a fingerprint, can be matched with the element they were derived from. Because the pattern is unique, a spectrum that shows the same pattern but shifted along the spectrum can be determined to have been the result of the Doppler effect, rather than having come from some process that emits a different wavelength of light. I don't fully understand what your concern about the CMBR is.
The premise behind the "Big Bang Theory", as it pertains to CMBR, is that it's the result of a redshift due to the Doppler effect and the universe expanding. Suppose this is not correct, and instead of having an expanding universe, we have a non-expanding universe; this would mean that there's no Doppler effect, which would prompt the question about why there's a redshift.
What I'm referring to with that Planck equation is that since energy in a photon is the result of the frequency - what if instead of the change in frequency from CMBR (resulting in a redshift) being the result of the Doppler effect, it's the result of loss in energy? This would mean that the frequency goes lower, thus you would get redshift. That way, it seems you could have both a non-expanding universe as well as a redshift with CMBR.
Unfortunately since I'm a noob, I'm not allowed to post links; it might help if you could see the 2nd link, which was to a PDF by PhD physics professor Ling Jun Wang called "Dispersive Extinction Theory of Redshift."
The 1st link, BTW, was to a How Stuff Works website article called "Problems With the Big Bang Theory."
Where would that lost energy be going?