Gravitating Matter in LQG & String: How Critical is the Density?

Click For Summary

Discussion Overview

The discussion centers on the amount of "gravitating" matter required in Loop Quantum Gravity (LQG) and String Theory for the universe to maintain its current state, specifically focusing on the concept of critical density. The conversation explores theoretical implications and calculations related to cosmological constants and the relevance of density in these frameworks.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants express skepticism about LQG and String Theory's ability to provide a definitive figure for critical density, suggesting that these theories are not yet sufficiently developed.
  • One participant cites the Friedmann equation from General Relativity as a basis for calculating critical density, estimating it to be about 0.83 joules per cubic kilometer, with a breakdown of 73% dark energy and 27% matter.
  • It is noted that the actual density of matter (baryonic and dark combined) is approximately 0.22 joules per cubic kilometer, which is considered sparse by human standards.
  • Participants discuss the significance of density in determining the curvature of space, emphasizing that density at each point is more relevant than total volume.
  • There is a sentiment of disappointment regarding the inability of LQG and String Theory to predict cosmological constants, raising questions about the purpose of pursuing these theories if they cannot provide such predictions.
  • One participant mentions that LQG is focused on demonstrating the existence of four-dimensional spacetime from first principles, while String Theory is similarly trying to align its predictions with General Relativity.

Areas of Agreement / Disagreement

Participants generally express a lack of consensus on the ability of LQG and String Theory to provide concrete predictions regarding critical density and cosmological constants. Multiple perspectives on the relevance and development of these theories are presented, indicating ongoing debate.

Contextual Notes

The discussion highlights limitations in the current understanding of LQG and String Theory, particularly regarding their predictive power and the definitions of critical density. There are unresolved questions about the implications of density measurements and the nature of the universe's curvature.

wolram
Gold Member
Dearly Missed
Messages
4,411
Reaction score
551
I think this is the right place to ask, how much "gravitating", matter
is needed, in LQG and String, for our universe to be as it is. and how
critical is this "density".
 
Physics news on Phys.org
wolram said:
I think this is the right place to ask, how much "gravitating", matter
is needed, in LQG and String, for our universe to be as it is. and how
critical is this "density".

wolram, I do not think that either LQG or stringy theories are sufficiently well-developed to provide a figure for the critical density

however, ordinary 1915 Gen. Rel. does provide a basis for calculating the critical density
the formula for calculating it basically just the Friedmann equation and it gives a figure of about

0.83 joules per cubic kilometer.

the usual estimate is that this 0.83 joules is broken down between 73 percent dark energy and 27 percent matter (of which most is dark matter)

so if you want to know how much "matter" (dark and baryonic combined) then it is 27 percent of 0.83 joules

this is about 0.22 joules per cubic kilometer. (baryonic and dark matter combined)


the word "density" just means so-and-so much of something per unit volume
and there is no certain total volume, one can only guess about whether it is finite or infinite and what it is if it is finite.
so one is better off just talking about density----so and so much per cubic km or cubic lightyear.
besides, it is the density at each point that determines the curvature at that point. So the density is the relevant thing, not the total.

the density, whether it is measured or inferred, turns out to be amazingly sparse by human standards. 0.22 joules is a small amount of energy already and it would seem even more tiny if expressed as a mass equivalent (miniscule fraction of a nanogram)---but all that means is that space, on average, is extraordinarily empty and if it were not so empty then it would not appear flat

what they mean by "critical density" is the value which is necessary for the universe to be flat
and since it appears to be flat (people keep checking this in everyway they can think of) the actual density is believed to be at or close to the critical level.
 
Last edited:
This is disappointing i thought that at least LQG or STRING could
predict a value for cosmological constants, if it cannot what is reason of pursing them?
 
wolram said:
This is disappointing i thought that at least LQG or STRING could
predict a value for cosmological constants, if it cannot what is reason of pursing them?

LQG is still working hard on showing from first principles that four dimensional time-space exists. String theory isn't much better off. Both are working hard to show that what they predict resembles GR. THe reason to pursue them is the hope that someday you will have a theory that gives you the source code for the universe.
 

Similar threads

  • · Replies 15 ·
Replies
15
Views
7K
  • · Replies 46 ·
2
Replies
46
Views
7K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 15 ·
Replies
15
Views
3K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 30 ·
2
Replies
30
Views
12K
  • · Replies 16 ·
Replies
16
Views
3K
  • · Replies 14 ·
Replies
14
Views
5K