Topography of spacetime over time.

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SUMMARY

The discussion focuses on the topography of spacetime and its evolution since the early universe, particularly during the inflationary epoch. Initially, the universe was highly curved, transitioning to a nearly flat state as hydrogen condensed into stars and galaxies. The conversation explores gravitational length contraction and dilation effects in relation to mass condensation and the implications for visual observations of mass movement. Additionally, it questions the relative passage of time in the early universe compared to the present day on Earth.

PREREQUISITES
  • Understanding of spacetime curvature and its implications in cosmology
  • Familiarity with gravitational length contraction and dilation
  • Knowledge of the inflationary epoch in the early universe
  • Basic concepts of Doppler and Red Shift effects
NEXT STEPS
  • Research the implications of spacetime curvature on cosmic structure formation
  • Study the effects of gravitational lensing in relation to mass distribution
  • Explore the relationship between inflationary theory and current cosmological models
  • Investigate time dilation effects in different gravitational fields
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Astronomers, cosmologists, physics students, and anyone interested in the evolution of the universe and the dynamics of spacetime.

D.S.Beyer
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"Topography" of spacetime over time.

How has spacetime curvature changed since the early universe?

In the beginning, (close to the beginning that is), everything was hydrogen (sort of). That hydrogen was more or less homogeneous save a few little places, that would, after billions of years, would become stars and galaxies.

topography_of_spacetime.jpg


The spacetime deformation of the homogeneous hydrogen was slight but it was also everywhere. As the hydrogen began its life toward stars and galaxies it condensed in places and receded from other places. And so spacetime deformation 'grew' in places the hydrogen condensed and 'lessened' in areas the hydrogen receded.

What can be said about the gravitational length contraction of these new 'empty' areas? Does the act of condensation of matter lead to areas of both contraction near mass and dilation between the condensing areas? Which would translate visually as the areas of mass moving away from each other, would it not? What Doppler or Red Shift effects does gravitational length contraction and dilation have?

Also can we say that relative to now, here on earth, in the milkyway, that time in the early universe was passing more quickly?

Thoughts?

(Also, I posted this is the cosmology section with VERY little response. In general it seems the people in SR&GR forum are much more helpful, professional, and responsive...relatively. :-P)
 
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D.S.Beyer said:
How has spacetime curvature changed since the early universe?

In the beginning, (close to the beginning that is), everything was hydrogen (sort of). That hydrogen was more or less homogeneous save a few little places, that would, after billions of years, would become stars and galaxies.

topography_of_spacetime.jpg


The spacetime deformation of the homogeneous hydrogen was slight but it was also everywhere. As the hydrogen began its life toward stars and galaxies it condensed in places and receded from other places. And so spacetime deformation 'grew' in places the hydrogen condensed and 'lessened' in areas the hydrogen receded.

What can be said about the gravitational length contraction of these new 'empty' areas? Does the act of condensation of matter lead to areas of both contraction near mass and dilation between the condensing areas? Which would translate visually as the areas of mass moving away from each other, would it not? What Doppler or Red Shift effects does gravitational length contraction and dilation have?

Also can we say that relative to now, here on earth, in the milkyway, that time in the early universe was passing more quickly?

Thoughts?

(Also, I posted this is the cosmology section with VERY little response. In general it seems the people in SR&GR forum are much more helpful, professional, and responsive...relatively. :-P)

I don't know if you are really asking a question, but the simple answer is that in the VERY early universe, during the inflationary epoch, the universe was highly curved, whereas not it appears to be essentially flat.

In the beginning, when this was relevant, there was no hydrogen.
 

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