Might Dark Energy have anything to do with Inflation?

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Discussion Overview

The discussion revolves around the potential relationship between dark energy and inflationary theory in cosmology. Participants explore whether dark energy could be a remnant of the inflaton process responsible for the rapid expansion of the universe in its early stages, and if there are any theoretical connections between the two phenomena.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • Some participants propose that dark energy might be a weak remnant of the inflaton process, suggesting a possible connection between the expansive effects of both phenomena.
  • Others argue that inflation and dark energy are typically modeled separately, although some models, like quintessential inflation, attempt to link them.
  • One participant explains that inflation is driven by an inflaton field with a potential that behaves similarly to a dark energy term in Einstein's field equations, particularly when the potential is nearly flat.
  • Another viewpoint suggests that after inflation ends, a tiny cosmological constant may remain, but its exact nature and contributions are uncertain and complex.
  • Some participants express skepticism about a compelling theoretical framework that connects inflation and dark energy, noting that many ideas in this area are ad-hoc and not derived from first principles.
  • It is noted that the energy scales of inflation and dark energy differ significantly, which raises challenges for unifying the two under a single theory.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the relationship between dark energy and inflation. Multiple competing views are presented, with some suggesting a connection and others asserting that they are likely unrelated phenomena.

Contextual Notes

The discussion highlights the complexity of linking inflation and dark energy, including the challenges posed by differing energy scales and the speculative nature of proposed connections.

Gerinski
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Inflationary Theory postulates that the inflaton field and its associated particle were responsible for a huge space expansion in the very early universe. Now we observe again positive expansion, albeit at a very moderate rate, which we attribute to "dark energy" / "cosmological constant".
Could it be that both have anything in common? That dark energy is a sort of very weak remnant of the inflaton process?

Even in theory, do the inflaton expansive effect on spacetime have anything in common with the expansive effect of the cosmological constant? Or are they fundamentally different in any sense, even if both cause space to expand?

TX
 
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From my understanding, inflation happened because originally space was empty and empty space has an an insane amount of outward pressure and it rapidly created more space.
 
Inflation has a potential V(Phi) that *acts* like a dark energy term in Einsteins field equations when it is very close to being flat. That is the source by which it generates near DeSitter like expansion. In principle, dark energy takes contributions from all matter species and symmetry breaking terms within the theory, not just the Inflaton. However, by assumption, during inflation, V(Phi) of the inflaton completely dominates all of the other contributions for the vacuum energy so we just focus on that term.

Now what happens when inflation ends and there is a 'relic' but ridiculously tiny cosmological constant term that is leftover. Well, what exactly the leftover is made off is unknown. Again in principle it takes contributions from whatever is left of V(Phi), as well as every thing else. In some sense the question is not particularly interesting, b/c you could imagine that V(phi) leaves over a nonzero but constant contribution that is canceled by some other matter field's contribution, which in turn is canceled by yet another one and so forth. It all becomes part of the mess of understanding what the cosmological constant is.

So in practice people just set the inflaton potential to zero after reheating and then put off the question about what the CC really *is*. Alternatively, you could take the point of view a model builder, and ask the question about what happens if V(Phi) might not exactly go to zero, but might continue to evolve with the universe in some way. This acts then very much like the model George Jones linked too.
 
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Gerinski said:
Inflationary Theory postulates that the inflaton field and its associated particle were responsible for a huge space expansion in the very early universe. Now we observe again positive expansion, albeit at a very moderate rate, which we attribute to "dark energy" / "cosmological constant".
Could it be that both have anything in common? That dark energy is a sort of very weak remnant of the inflaton process?

Even in theory, do the inflaton expansive effect on spacetime have anything in common with the expansive effect of the cosmological constant? Or are they fundamentally different in any sense, even if both cause space to expand?

TX
This is an idea that's been batted around, but for the most part nobody has yet come up with a really compelling way this could have happened. The ideas along these lines tend to be pretty ad-hoc, so that the linking of inflation with dark energy is something that is explicitly written into the equations instead of something that we might derive from them from first principles.

Theoretically speaking, even if inflation and dark energy were each driven by a scalar field, chances are there are a lot of different scalar fields so that there really isn't good reason to expect that they'd be produced by the same scalar field.
 
Thanks to all !
 

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