Alpher Bethe Gamow: Factor characterizing the decrease of density with time

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SUMMARY

The discussion centers on the factor f(t) that characterizes the decrease of density over time in cosmology, as referenced by Alpher Bethe Gamow. This factor is linked to the density of the universe at a specific time t and can be derived from the Friedmann equation, which incorporates both density and time variables. The conversation highlights the importance of understanding the Friedmann equation for those new to cosmology, while also noting the limitations of the αβγ model for non-Hydrogen and Helium elements.

PREREQUISITES
  • Understanding of the Friedmann equation in cosmology
  • Basic knowledge of density functions in the context of the universe
  • Familiarity with the concepts of cosmic expansion and density evolution
  • Awareness of the limitations of the αβγ model in cosmological calculations
NEXT STEPS
  • Study the Friedmann equations and their implications for cosmic density
  • Research the concept of cosmic expansion and its mathematical representation
  • Explore the limitations and applications of the αβγ model in cosmology
  • Investigate density functions and their role in the evolution of the universe
USEFUL FOR

Students and researchers in cosmology, astrophysicists, and anyone interested in understanding the dynamics of cosmic density and expansion over time.

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Alpher Bethe Gamow: "Factor characterizing the decrease of density with time"

Directly from the article:

http://cache.artofproblemsolving.com/texer/images/c957650eca2c34559b5fd5931bd74440410d6ee3.png

where f(t) is a factor characterizing the decrease of the density with time.

What specifically is this f(t)? Is it just the density of the universe at time t? Where would this be available?

It seems to me that the Friedmann equation is a good place to derive this information, having both a term for density and time. However, I'm very new to cosmology.
 
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By the way, I know that αβγ is not a valid model for non-H/He elements, but I'm just carrying out the calculations myself.
 

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