Hubble+/- 4.3%, is the constant constant ?

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SUMMARY

The Hubble constant, denoted as H0, is not assumed to be constant over time; rather, the standard cosmological model indicates that the Hubble parameter H(t) varies with time. Cosmologists account for this variability in their calculations, recognizing that the rate of cosmic expansion is influenced by factors that change over billions of years. The Hubble law, expressed as v(t) = H(t)D(t), relates the recession speed v(t) to the distance D(t) at any given moment, using the current value H0 for present measurements. Tools like Morgan's calculator can illustrate how H(t) has changed significantly throughout the universe's history, demonstrating variations by a factor of a hundred or more.

PREREQUISITES
  • Understanding of the Hubble law and its mathematical representation
  • Familiarity with cosmological concepts such as redshift and cosmic microwave background (CMB)
  • Knowledge of the standard model of cosmology and its implications
  • Basic proficiency in using calculators for cosmological measurements, such as Morgan's calculator
NEXT STEPS
  • Explore the implications of varying Hubble parameters in cosmology
  • Investigate the use of Morgan's calculator for historical Hubble values
  • Learn about the factors influencing cosmic expansion rates over time
  • Study the relationship between redshift and distance in cosmological observations
USEFUL FOR

Astronomers, cosmologists, and physics students interested in the dynamics of cosmic expansion and the historical changes in the Hubble constant.

MonstersFromTheId
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Hubble+/- 4.3%, is the constant "constant"?

Why is the Hubble constant assumed to be "constant"? Just to keep things simple a la Occam's razor? Or is there a lot more to it than that?

With further increases in the accuracy of its measurement, and a few centuries to make repeated measurements, is anyone placing bets yet on its value turning out to NOT be a constant rate of acceleration?

I.e. the rate of acceleration is either increasing or decreasing at a constant rate.
Or, the rate of acceleration is a function of some as yet undetermined factor that changes subtly over time.
 
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The light from more distant objects left at an earlier time, so plotting distance against redshift (ie rate) you are measuring the expansion at different times.
 


MonstersFromTheId said:
...

With further increases in the accuracy of its measurement, and a few centuries to make repeated measurements, is anyone placing bets yet on its value turning out to NOT be a constant rate of acceleration?
...

Cosmologists do not assume that the Hubble parameter is constant over time. In fact the standard model of the universe requires that H(t) change with time in a certain way. So when they calculate they take account of that.

Monsters, where did you get the idea that H(t) is supposed to be constant over time? Nobody who knows what they are talking about would tell you that. It must be the bad verbal terminology.

H0 is the symbol used for the value of H(t) at the PRESENT time.

The Hubble law is that v(t) = H(t)D(t). At any given moment of time, the current recession speed at that moment is equal to the distance D(t) at that moment, multiplied by the current value of the Hubble.
For convenience you write it v = H0 D, where everybody is supposed to understand that here v and D are the present recession speed and distance. The type of distance is that measured by observers at rest with respect to CMB, same with time also---that as measured by observers at rest with respect to CMB. If that doesn't mean anything don't worry, it is a technical detail about how distances and the present moment are defined.

If you want to see how H(t) has changed over the (billions of) years. Try out Morgan's calculator in my signature. If you put in a redshift like z= 10 the calculator will tell you what the Hubble was back then when the light was emitted, that we now see redshifted by that amount.
You can easily find out that H has changed by a hundred fold or more over the course of history.
 
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