A little direction regarding dark energy.

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Discussion Overview

The discussion centers around the structure and content of an essay on dark energy, focusing on its theoretical implications, observational evidence, and various models. Participants provide feedback on the organization of the essay and suggest additional points to consider, including historical problems associated with dark energy and the relevance of the Friedmann equations.

Discussion Character

  • Homework-related
  • Conceptual clarification
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant outlines a proposed structure for the essay, including topics such as Hubble's observations, the cosmic microwave background (CMB), and various theories related to dark energy.
  • Another participant suggests including the "old cosmological constant problem" and the "new cosmological constant problem" to enhance the discussion of dark energy's implications.
  • A different participant recommends starting with the Friedmann equations to clarify model dependencies and provide context for the subsequent points.
  • One participant expresses confidence in their progress despite lacking formal study of general relativity and the Friedmann equations, indicating a self-assessment of their understanding.
  • Another participant emphasizes the importance of mentioning that observational evidence for the concordance model supports dark energy as a cohesive theory rather than an ad hoc addition.

Areas of Agreement / Disagreement

Participants generally agree on the proposed structure of the essay and the importance of including various problems associated with dark energy. However, there are differing opinions on the best starting point for the discussion, particularly regarding the use of the Friedmann equations.

Contextual Notes

Participants note limitations in the author's formal knowledge of general relativity and the Friedmann equations, which may affect the depth of analysis in the essay. There is also mention of the need to critically analyze evidence, suggesting that the essay's conclusions may remain tentative.

Who May Find This Useful

Students studying cosmology, dark energy, or related fields may find this discussion useful for understanding the complexities involved in structuring an academic essay on these topics.

Slimchandi
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I am writing a 2nd year essay for my Physics degree, and have chosen dark energy as my topic. I've been reading papers and material for around a week now, and would like some reassurance that I am heading in the right direction and have made no major blunders or omissions. Here's the general structure of my essay ATM.

  • Hubble's observations of red shifts
  • Study of early universe requires old bright objects (discard Cepheids, SN 1a use)
  • Recent study shows excessive red shift in far SN, accelerating expansion.
  • CMB evidence discredits excessive warping of space to fill critial energy density. Universe is essentially flat.
  • Requires antigravitational effect, re Einstein's original equation cosmological constant.
  • Show negative pressure with classical thermodynamics (vacuum energy associated with space)
  • Friedmann equation governs expansion, define w factor (p/rho) as important to nature of dark matter
  • Describe various theories with w values (Cos constant, quintessence, phantom energy(?)).
  • Evaluate evidence for each, sum up

The title of my essay is to critically analyse the evidence and compare theories. Do i have things in roughly the right order, am I missing anything crucial. I haven't officially covered any of this material yet in classes, so a formal knowledge is not necessarily required to be shown in the essay.
 
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This structure makes sense to me. Either in point 6. or in 8. you could mention the fact that the QFT vacuum produces a negative pressure that is completely discordant with the cosmological observations ("old cosmological constant problem"). In point 7. I would mention the so called "new cosmological constant problem": why does the acceleration of expansion take place in the present universe and not earlier or later. This reference gives a nice overview.
 
I would think that it would be easier to start with the Friedman equations (summarily stating the assumptions behind it and that it flows from GR) and then showing how you need to fill in the blanks, then show how various blanks have been filled in. This first, makes the model dependencies clear, and second, gives the other points more context.
 
ohwilleke: Thanks for the input. Because I haven't done any formal study of GR and the Friedmann equations I decided not to use them on a formal basis. From knowing nothing about cosmology a week ago, I think I've done reasonably ok!

hellfire: Thanks for the reference, I'm fairly sure I have come across it before but I've read a lot of papers over the last few days, might have just skimmed it. The old problem is now in the essay, and as I have to critically analyse evidence (!) the new problem will be an interesting addition.

I've found Carroll's papers to be a really good introduction on this subject, hope others find this useful.
 
If you can somehow mention that none of the other observational evidence for the concordance model (esp large scale structure) is inconsistent with DE, that would help - i.e. it's a complete package, not just a curiosity, added as an ad hoc patch.
 

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