Amount of dark Energy at different times

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Discussion Overview

The discussion revolves around the amount of dark energy in the observable universe at different times, exploring theoretical formulations and implications based on current understanding in cosmology. Participants examine the relationship between dark energy and the scale factor over time.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant proposes a formula for dark energy as being inversely proportional to the cube of the scale factor, suggesting that dark energy would be about one-fourth of its current amount 6 billion years ago.
  • Another participant argues that the total amount of dark energy is not a useful quantity in General Relativity, emphasizing that density is a more relevant measure, which may be constant over time.
  • A third participant points out that the radius of the observable universe does not scale directly with the scale factor and corrects the scale factor value mentioned by the first participant, indicating that it should correspond to a past time rather than a future time.
  • This participant also estimates that the total vacuum energy in the observable universe would be about one-eighth of today's value if density is assumed constant.
  • A later reply acknowledges a misunderstanding regarding the scale factor term, indicating a learning process in the discussion.

Areas of Agreement / Disagreement

Participants express differing views on the usefulness of measuring total dark energy versus density, and there is no consensus on the proposed formula or the implications of scale factor adjustments.

Contextual Notes

There are unresolved assumptions regarding the definitions of energy and density in the context of General Relativity, as well as the implications of scale factor changes over time.

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I am wondering what the formula would be for the amount of Dark Energy in the observable universe would be for different time (t). (according to best current theory/data)

Would it be this directly proportional to volume?
Dark energy (t) = Dark energy (present time)/ (scale factor (t)3)

If so, 6GY ago scale factor = 1.618 therefore Dark Energy would be about 1/4 the current amount.

I could be way off as I am just starting on this stuff.
 
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I don't think that the amount of dark energy is a useful quantity (total energy is not well-defined in General Relativity). The density, however, is useful, and can be thought of as a constant (if it does change over time, those changes haven't yet been detected).
 
Apart from what Chalnoth said about the usefulness of total energy, the radius of the observable universe does not scale directly with scale factor a. You mentioned a=1.618, which is in the future, so I guess you intended to say a=0.618, which correlates with 6 Gy ago.
The radius of the observable universe was then about half of what it is today ( D_particle ~ 23 Gly then, according to LightCone 7) and the total vacuum energy in the observable universe about one eighth of today (at constant density).
 
Jorrie: That clarifies what I was looking to understand. I also was not using scale factor term correctly.
Thanks
 

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