Calculating Distance: What Am I Doing Wrong?

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Discussion Overview

The discussion revolves around the calculation of distance in the context of cosmology, specifically relating to the cosmic standard ruler and the sound horizon. Participants explore the implications of using speed and time to derive distances, particularly in an expanding universe.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant calculates distance using the formula speed X time, arriving at a distance of 228,000 light-years, but questions why the standard ruler is twice as long at about 150 Mpc.
  • Another participant asks for clarification on the origin of the numbers used in the calculation and defines a standard ruler as any object of known size.
  • A participant specifies that they are referring to the cosmic standard ruler used in baryon acoustic oscillations (BAO) and mentions the speed of sound waves at 0.6c and the time to the sound horizon of 380,000 years.
  • One participant suggests that the initial calculation may not account for the expansion of space, implying that the sound wavefront distance should be calculated differently.
  • A later reply expresses gratitude for the clarification and indicates that they were considering similar ideas prior to the response.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the correctness of the initial calculation or the implications of the standard ruler's length, indicating that multiple competing views remain regarding the methodology and interpretation of the results.

Contextual Notes

There are unresolved assumptions regarding the treatment of distances in an expanding universe and the definitions of terms like "conformal time" and "standard ruler." The discussion also highlights the dependence on specific cosmological models and parameters.

Discman
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What I'm doing wrong?
speed X time = distance
0,6 c X 380000 jr = 228000 ly
times expansion of 1000 gives 228.000.000 ly
This is equal to about 72 Mpc
Why is the standard ruler 2 times as long: about 150 Mpc
What is wrong, or do I forget in my calculation?
 
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What exactly do you want to calculate? Where do those numbers come from?

A (!) standard ruler is any object of known size.
 
With these numbers I am pointing of course at the cosmic standard ruler which is used in the BAO.
Speed fundamental tone of acoustic waves 0,6 c, time to sound horizon 380.000 yrs
And the calculated standard ruler is the radius of the sound horizon shell (not the diamater)
So, again, why 2 times so long?
 
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Thank you very much. By coincidence I was just beginning to think into that direction when your answer arrived.
 

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