Coincidence of FLWR & CBR Homogeneity: Earth @ 0.0013c?

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Discussion Overview

The discussion revolves around the relationship between the Friedmann-Lemaître-Robertson-Walker (FLRW) metric and the homogeneity of the Cosmic Microwave Background Radiation (CMBR), particularly in the context of Earth's motion through space. Participants explore whether the FLRW metric coincides with local frames where the CMBR is homogeneous, and the implications of Earth's velocity relative to the CMBR.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant states that the Earth is moving at 390 kilometers per second relative to the CMBR and questions if this motion aligns with FLRW metric coordinate space where the CMBR is homogeneous.
  • Another participant asserts that an observer at rest in standard FRW coordinates would perceive the CMBR as isotropic, suggesting a direct relationship between the FLRW metric and the observed homogeneity of the CMBR.
  • A different viewpoint emphasizes the distinction between the theoretical homogeneity and isotropy of the FRW coordinate chart and the observed homogeneity and isotropy of the CMBR, cautioning against conflating the two.
  • One participant highlights the historical significance of Lemaitre in the context of the FLRW metric and the concept of cosmic expansion, advocating for recognition of his contributions.

Areas of Agreement / Disagreement

Participants express differing views on the relationship between the FLRW metric and the CMBR's homogeneity and isotropy. While some agree on the isotropic nature of the CMBR in standard FRW coordinates, others challenge the implications and causality of this relationship, indicating that the discussion remains unresolved.

Contextual Notes

Participants note the importance of distinguishing between theoretical constructs and observational phenomena, as well as the historical context of the FLRW metric's development.

mitochan
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TL;DR
Does FLWR metric coordinate and CBR homogeneous coordinate where the Earth has proper speed of 0.0013 c coincide ? If so why ?
The Earth is moving with respect to the CBR at a speed of 390 kilometers per second, I read in the article https://www.scientificamerican.com/article/how-fast-is-the-earth-mov/. Does FLWR metric coordinate space coincides with integrated local FRs where CBR is homogeneous, and the Earth is moving with 390 km/sec = 0.0013 c on it ? If so does the coincidence of CBR homogeneity and FLWR metric space have any reason or just by chance ?
 
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mitochan said:
Does FLWR metric coordinate space coincides with integrated local FRs where CBR is homogeneous, and the Earth is moving with 390 km/sec = 0.0013 c on it ?

If you are asking if an observer at rest at any spatial position in standard FRW coordinates would see the CMBR as isotropic (the same in all directions), the answer is yes.

mitochan said:
If so does the coincidence of CBR homogeneity and FLWR metric space have any reason or just by chance ?

It's because the standard FRW coordinate chart is explicitly constructed so that the homogeneity and isotropy of the spacetime is directly reflected in the metric.
 
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Homogeneity and isotropy of spacetime is basic idea of FRW coordinate chart.
Homogeneity and isotropy of CMBR is observed not on the Earth but at rest in a coordinate, say CMBR coordinate. One comes from idea and the other comes from observation. Maybe we should be careful to say which could come from the other. I do not think CMBR is only one phenomena to show homogeneity and isotropy of the universe, so it cannot be a cause or source of the homogeneity and isotropy.
 
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Thanks.
 
Please, don't forget once more Lemaitre. He's in fact the one who predicted what's usually called Hubble expansion, and only because he published in a not so well-known French-speaking journal, he should not be forgotten. So it's FLRW metric!
 
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