Special thread for answers to Mathbrain's questions

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Discussion Overview

This thread addresses questions posed by a newcomer, Mathbrain, regarding the nature of cosmic expansion, the cosmic microwave background (CMB), and the limitations of the balloon analogy in representing curvature in space. The discussion encompasses theoretical concepts and interpretations within cosmology and geometry.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Mathbrain questions whether the distance D between two galaxy clusters A and B can be predicted given their perpendicular motion and the expansion of space.
  • Some participants suggest that the answer to Mathbrain's first question depends on the spatial geometry and the need for a specified metric to calculate future separation.
  • Mathbrain seeks clarification on whether all instances of CMB originate from the Big Bang and how they can be detected constantly from all directions.
  • One participant explains that the universe is filled with ancient light from the Big Bang, which is uniformly distributed, allowing for constant detection of CMB photons.
  • Mathbrain expresses confusion about the balloon analogy, arguing that it cannot adequately represent curvature without an extra dimension and lacks mathematical representation.
  • Another participant counters that curvature can be represented mathematically without embedding in higher dimensions, referencing historical contributions from mathematicians like Gauss and Riemann.
  • Mathbrain rephrases questions about the predictability of space expansion and its relation to the Hubble constant, as well as the implications for measuring distances to galaxies.
  • There is a suggestion that the ancient light may be perceived as coming from all directions due to bending around the curvature of space, but this remains a point of discussion.

Areas of Agreement / Disagreement

Participants express differing views on the balloon analogy's effectiveness in representing curvature and the nature of cosmic expansion. There is no consensus on the predictability of distance D or the implications of CMB detection.

Contextual Notes

The discussion involves complex concepts in cosmology and geometry, with limitations in assumptions about spatial geometry and the nature of light propagation in an expanding universe. The relationship between redshift and current galaxy positions remains unresolved.

  • #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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