Dark Energy Part 1: Einstein-deSitter Cosmology

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SUMMARY

This discussion centers on the introduction of the cosmological constant ##\Lambda## into Einstein's equations of general relativity, as motivated by findings from the Supernova Cosmology Project (SCP) Union2.1 type Ia supernova data. The significance of this discovery, which earned the 2011 Nobel Prize in Physics for Perlmutter, Schmitt, and Riess, lies in its implications for the accelerating expansion of the Universe. The conversation also touches on practical aspects of downloading and formatting forum discussions into PDF files for offline study, highlighting tools like PrimoPDF and PDFSAM for creating and managing PDF documents.

PREREQUISITES
  • Understanding of Einstein's equations of general relativity
  • Familiarity with the concept of dark energy and the cosmological constant ##\Lambda##
  • Knowledge of type Ia supernovae and their role in cosmology
  • Basic skills in using PDF creation tools like PrimoPDF and PDFSAM
NEXT STEPS
  • Research the implications of the cosmological constant ##\Lambda## in modern cosmology
  • Learn about the methodology of the Supernova Cosmology Project (SCP) Union2.1
  • Explore the differences between Einstein-deSitter (EdS) and ##\Lambda##CDM cosmologies
  • Investigate tools and techniques for converting LaTeX documents into readable PDF formats
USEFUL FOR

Astronomers, physicists, students of cosmology, and anyone interested in the practical aspects of formatting scientific discussions for offline study.

RUTA
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In this 3-part series, I want to motivate the (re)introduction of the cosmological constant ##\Lambda## into Einstein’s equations of general relativity (GR) per the Supernova Cosmology Project (SCP) Union2.1 type Ia supernova data. As you probably know, this discovery won Perlmutter, Schmitt, and Riess the 2011 Nobel Prize in Physics “for the discovery of the accelerating expansion of the Universe through observations of distant supernovae.” ##\Lambda## is referred to as “dark energy” and as we will see in Part 2 it leads to the accelerating expansion of the universe. In this Insight (Part 1 of the series), I will introduce Einstein-deSitter (EdS) cosmology. In Part 2, I will introduce ##\Lambda##CDM cosmology (essentially EdS + ##\Lambda##). In Part 3, I will introduce the notion of distance modulus in astronomy and fit the SCP Union2.1 type Ia supernova data (distance modulus versus...

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Is there some way to download threads like this, say to a pdf, so I can study them off-line? When I hit print in the Edge browser, I do not get a very good printout. Thanks.
 
exmarine said:
Is there some way to download threads like this, say to a pdf, so I can study them off-line? When I hit print in the Edge browser, I do not get a very good printout. Thanks.
Sorry, I would like to do the same, but there is no way I know. If there's only text, no LaTeX math, you can copy/paste.
 
Do you want my original file with the LaTeX equations?
 
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Yes please. And thanks!
 
I copied it into a Word document attached here.
 

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exmarine said:
Is there some way to download threads like this, say to a pdf, so I can study them off-line? When I hit print in the Edge browser, I do not get a very good printout. Thanks.
1. Install a PDF Printer like PrimoPDF
2. In the browser go File > Print ..., and choose PrimoPDF.

You have now created a PDF file.

You can use PDFSAM to split and merge PDF files.

Using Edge? Bin it and use Firefox!
 
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Ah thanks FRODO. That is basically what I am doing. I have a PDF printer installed, and regularly use FireFox as well as Edge. But that has always produced jumbled and garbled page headers and text, basically unreadable. RUTA kindly made his Word file available, but it had the equations and symbols in LaTeX format. I managed to get all of those changed into readable format and over into a PDF file. (Is there some way, addin, app, or whatever to make that easy to do?! It took me quite a while get the file readable.) I meant to post it up here in case anyone else would like to study it offline. But I didn’t want to do that without RUTA checking it and his approval, so I sent him a message to that effect. But he wasn’t interested, which really surprised me… Heck, I will attach the PDF to this now just in case. Sure hope I didn’t make any errors in translating the LaTeX!

PS. I wish all the insight authors would make PDF files of their work available.
 

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My apologies, I thought you wanted the LaTeX file. I assumed you wanted the LaTeX so you could manipulate it. If I knew you wanted a PDF (immutable) rendering, I would have sent something in final (permanent) form.
 
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exmarine said:
Ah thanks FRODO. That is basically what I am doing. I have a PDF printer installed, and regularly use FireFox as well as Edge. But that has always produced jumbled and garbled page headers and text, basically unreadable. RUTA kindly made his Word file available, but it had the equations and symbols in LaTeX format. I managed to get all of those changed into readable format and over into a PDF file. (Is there some way, addin, app, or whatever to make that easy to do?! It took me quite a while get the file readable.) I meant to post it up here in case anyone else would like to study it offline. But I didn’t want to do that without RUTA checking it and his approval, so I sent him a message to that effect. But he wasn’t interested, which really surprised me… Heck, I will attach the PDF to this now just in case. Sure hope I didn’t make any errors in translating the LaTeX!

PS. I wish all the insight authors would make PDF files of their work available.
I looked at this rendering and I don't see any mistakes in the equations. It's too bad the equation numbers don't appear and the links are not active.
 
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