Is the Universe Both Flat and Accelerating?

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Discussion Overview

The discussion revolves around the apparent paradox of whether the universe can be both flat and accelerating. Participants explore the implications of different cosmological models, including the concepts of flatness, acceleration, and the role of dark energy in the universe's expansion.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Some participants propose that a flat universe should expand forever, aligning with the critical universe model, while others argue that the acceleration of the universe suggests an open model.
  • One participant asserts that an open universe is not accelerating and that all three geometries (open, flat, closed) are decelerating in the presence of ordinary matter and radiation.
  • Another participant suggests that accelerating spacetimes can be consistent with flatness, indicating that dynamics may drive flatness in such scenarios.
  • There is a discussion about the evolution of cosmological models, noting that earlier classifications of the universe based solely on matter density may be outdated due to the influence of dark energy.
  • One participant highlights that dark energy, which is thought to dominate the universe's energy content, causes the acceleration of expansion, complicating the relationship between geometry and fate of the universe.
  • It is mentioned that the current understanding suggests the universe is flat, with the combined density of matter and dark energy equaling the critical density, but the properties of dark energy remain not fully understood.

Areas of Agreement / Disagreement

Participants express differing views on the relationship between flatness and acceleration, with no consensus reached on which model is definitively correct. The discussion reflects ongoing uncertainty regarding the role of dark energy and its implications for cosmological models.

Contextual Notes

The discussion acknowledges limitations in understanding dark energy and its properties, which affect the conclusions drawn about the universe's geometry and expansion behavior.

oXDawidXo
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Hi!

I'm doing physics project and I'm stuck with a really awful paradox.:confused:

Universe appear to be flat (nearly), so it should expand forever (the critical universe). On the other hand we've got acceleration of the universe so open model. Which model is the right one?
 
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oXDawidXo said:
Hi!

I'm doing physics project and I'm stuck with a really awful paradox.:confused:

Universe appear to be flat (nearly), so it should expand forever (the critical universe). On the other hand we've got acceleration of the universe so open model. Which model is the right one?
An open universe is not accelerating. In the presence of ordinary matter and radiation, all three geometries-- open, flat, closed -- are decelerating. Closed universes eventually begin to contract again. Flat and open universes expand forever at a decelerating rates.

An accelerating spacetime is not inconsistent with flatness. In fact, accelerating spacetimes are driven towards flatness dynamically.
 
oXDawidXo said:
Hi!

I'm doing physics project and I'm stuck with a really awful paradox.:confused:

Universe appear to be flat (nearly), so it should expand forever (the critical universe). On the other hand we've got acceleration of the universe so open model. Which model is the right one?

It sounds like you are reading some slightly older material. At one point we classified the Universe under the simple 'open/flat/closed' system because we thought the only thing that mattered was the density of matter. If there is not enough, we have an open universe, too much we collapse and just right leads to asymptotic decceleration.

It turns out though that there is more to the Universe. In fact we think most of the energy today is not in the form of matter but 'dark energy' which rather than acting to slow the expansion speeds it up.

Once you include dark energy, the geometry (open/flat/closed) and the fate of the universe (expand forever/collapse) become different questions, it depends on the properties of dark energy which are not yet fully understood.

Our present best guess is that the universe is flat, in that the sum of matter + dark energy density equals the critical density, but that the dark energy dominates and the expansion is accelerating. Out best guess says that this will continue in the future and the expansion will grow ever more rapid, but that question is far from settled.
 
I think I get it now
Thank you
 

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