Special thread for answers to Mathbrain's questions

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Mathbrain raised questions about the predictability of distances between galaxy clusters A and B as they move perpendicularly over time, and whether the Cosmic Microwave Background (CMB) is solely from the Big Bang. The discussion highlighted the complexities of calculating distances in an expanding universe, emphasizing the role of metrics and spatial geometry. It was clarified that CMB photons are uniformly distributed throughout the universe, constantly reaching Earth from all directions due to the expansion of space. The limitations of the balloon analogy in representing curvature were also debated, with a focus on the mathematical implications of geometry in cosmology. Understanding these concepts is essential for grasping the dynamics of the universe and its expansion.
  • #31
marcus said:
That's a pretty nice implementation of the standard cosmology model! You could say that it is better than both of the ones I've been using because it combines good features of the Morgan one and the Wright one.

Thanks Marcus. My motivation has been to include a variable for Omega_radiation, which none of the then cosmo-calculators had. Hellfire offered me his source code and the freedom to modify it, so I've added Omega_r and a few outputs.

For the usual ranges of z < 100 or so, Omega_r makes virtually no difference, but it becomes noticeable around z > 1000, where Omega_r_then makes up around 25% of Omega. It is primarily of interest for looking at the sensitivity of the standard model to radiation density. It's also nice to verify or demonstrate radiation dominance at z > ~3300.
 
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  • #32
Hey thanks for your help guys! It's been really fascinating to find out that there are special metrics for cosmological objects. This has really given me a greater appreciation for abstact algebras and geometries. I really feel like I have a better understanding of cosmology now.

Thank you SO MUCH!
 

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