Derivation of the formula for cosmological redshift

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The discussion centers on the derivation of the cosmological redshift formula, z = R(t0)/R(te) - 1, which is often presented without explanation in sources like Wikipedia. Participants express frustration over the lack of clear derivation and seek simpler explanations for the relationship between redshift and the cosmological scale parameters. Key insights include the idea that the wavelength of light is stretched due to cosmic expansion, which can be understood through the behavior of photon gas energy density. References to academic papers by Bunn and Hogg are suggested as valuable resources for understanding the derivation, while the discussion also touches on the implications of changing expansion rates on redshift observations over time. Overall, the conversation highlights the complexities of cosmological redshift and the need for accessible explanations in astrophysics.
  • #31
I think I have developed a solution to the problems with the Narlikar paper and will post it once I have written it up.
 
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  • #32
Here's the solution as a pdf version of a word-processed file. I'll try to make a TeX version that is easier to read, and replace this one with that when I've done it. Any comments would be very welcome.

The file is essentially a proof that cosmological redshift due to expansion is equivalent to Doppler redshift.
 

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