Atoms Of Space, Gravity and the Cosmological Constant

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SUMMARY

The discussion centers on T. Padmanabhan's Invited Review article titled "Atoms Of Space, Gravity and the Cosmological Constant," which presents a novel approach linking classical gravity to the quantum microstructure of spacetime. The field equations are derived from maximizing the density of states of matter and geometry, with the cosmological constant Λ emerging as an integration constant related to cosmic information accessible to eternal observers. Notably, the article suggests that Λ is determined by intrinsic features of quantum geometry rather than traditional vacuum energy models, a perspective gaining traction among researchers. The numerical value of Λ aligns with observed data, reinforcing the significance of quantum gravitational units of information.

PREREQUISITES
  • Understanding of classical gravity principles
  • Familiarity with quantum mechanics and spacetime concepts
  • Knowledge of thermodynamics, particularly in relation to null surfaces
  • Basic grasp of cosmological constants and their implications in physics
NEXT STEPS
  • Research "quantum gravity theories" to explore alternative models of spacetime
  • Study "thermodynamics of null surfaces" for insights into Padmanabhan's approach
  • Investigate "cosmological constant problem" for context on current challenges in cosmology
  • Examine "information theory in physics" to understand the implications of cosmic information content
USEFUL FOR

The discussion is beneficial for theoretical physicists, cosmologists, and researchers interested in the intersection of quantum mechanics and general relativity, particularly those exploring the nature of the cosmological constant and quantum geometry.

marcus
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This Invited Review article just came out:
http://arxiv.org/abs/1603.08658
The Atoms Of Space, Gravity and the Cosmological Constant
T. Padmanabhan
(Submitted on 29 Mar 2016)
I describe an approach which connects classical gravity with the quantum microstructure of spacetime. The field equations arise from maximizing the density of states of matter plus geometry. The former is identified using the thermodynamics of null surfaces while the latter arises due to the existence of a zero-point length in the spacetime. The resulting field equations remain invariant when a constant is added to the matter Lagrangian, which is a symmetry of the matter sector. Therefore, the cosmological constant arises as an integration constant. A non-zero value Λ of the cosmological constant renders the amount of cosmic information (Ic) accessible to an eternal observer finite and hence is directly related to it. This relation allows us to determine the numerical value of Λ from the quantum structure of spacetime.
Invited Review; 32 pages; 3 figures

==quote==
Substituting this into Eq. (59), we get a remarkable formula for the cosmological constant
...
...
If we take the typical values ρin = (1.2 × 1015 GeV)4 , ρeq = (0.86 eV)4 , we get ρΛ = (2.2 × 10−3 eV)4 which agrees well with observed value! In other words, the idea that the cosmic information content accessible to an eternal observer, Ic, is equal to the basic quantum gravitational unit of information IQG = 4π, determines the numerical value of the cosmological constant correctly. ...
==endquote==
 
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I see that these days people not infrequently present models where the value of the cosmological constant Λ is determined NOT by anything like a matter field "vacuum energy" but rather from some feature of microscopic quantum spacetime geometry.
IOW it is an intrinsic feature of quantum geometry itself---the "atoms of geometry".

It seems to be getting researchers' attention, and they have various ideas about it. This is one. Thanu ("Paddy") Padmanabhan is prominent theoretician.
http://inspirehep.net/author/profile/T.Padmanabhan.1
Number of papers analyzed: 267
Number of citations: 12966
Citations per paper (average): 48.6
Breakdown of papers by times cited:
Renowned papers (500+) 2
Famous papers (250-499) 7
Very well-known papers (100-249) 19
Well-known papers (50-99) 26
Known papers (10-49) 111
Less known papers (1-9) 76

I can only assume this one will contribute to the growing researcher interest in this kind of explanation of the cosmological constant.
which incidentally is easiest to grasp as an asymptotic or baseline percentage distance growth rate.
Currently measured at 1/173 of one percent per million years.
 
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