Can spinfoam/LQG use a G at particle size?

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SUMMARY

The discussion centers on the potential application of geometric mass generation mechanisms in resolving the hierarchy problem within the context of spinfoam and Loop Quantum Gravity (LQG). The paper by Y. M. Cho and J. H. Kim, titled "Hierarchy Problem, Dilatonic Fifth Force, and Origin of Mass," proposes that a large internal space, while often assumed to be at the Planck scale, could theoretically be larger without contradicting current experimental evidence. Additionally, the concept of mass generation through the curvature of space-time offers an alternative to the Higgs mechanism. The calculations presented suggest that the minimum surface area in Loop Quantum Cosmology is influenced by the Planck length and the Barbero-Immirzi parameter.

PREREQUISITES
  • Understanding of the hierarchy problem in physics
  • Familiarity with Loop Quantum Gravity (LQG) concepts
  • Knowledge of the Higgs mechanism and mass generation
  • Basic grasp of the Barbero-Immirzi parameter and Planck scale
NEXT STEPS
  • Research the implications of geometric mass generation in theoretical physics
  • Study the role of the Barbero-Immirzi parameter in Loop Quantum Gravity
  • Explore the hierarchy problem and its significance in particle physics
  • Examine the bounce model and minimum length models in cosmology
USEFUL FOR

The discussion is beneficial for theoretical physicists, cosmologists, and researchers interested in advanced concepts of mass generation and the implications of Loop Quantum Gravity on particle physics.

jal
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Here is something to help.
There are some interesting calculations in this paper.
http://arxiv.org/PS_cache/arxiv/pdf/0708/0708.2590v1.pdf
Hierarchy Problem, Dilatonic Fifth Force, and Origin of Mass
Y. M. Cho and J. H. Kim
20 Aug 2007
This is precisely the equation which has been proposed to resolve the hierarchy problem [5, 6], which shows that a large v can easily bring GP to the order of the elementary particle scale. Of course, in the popular dimensional reduction in which the (4+n)-dimensional space is treated as physical, the internal space can not assume a large scale because it has to be invisible at present energy scale. For this reason the size has often been assumed to be of the Planck scale, with v = 1 [3, 9, 10]. But we emphasize that a relatively large internal space has not been ruled out theoretically as well as experimentally [7, 13].

This tells that the hierarchy problem is closely related to the problem of the origin of mass. Moreover, this demonstrates that there is another mass generation mechanism other than the Higgs mechanism, a geometric mass generation through the curvature of space-time. Understanding the origin of mass has been a fundamental problem in physics. The geometric mass generation mechanism could provide a natural resolution to this problem.
 
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Fred Doyle would have loved this.
http://arxiv.org/abs/0708.3288
The probability of inflation in Loop Quantum Cosmology
Authors: William Nelson
(Submitted on 24 Aug 2007)
p.3
When formulated in these terms the evolution equation (the Hamiltonian
constraint) is a discrete equation, with a discreteness scale given by aPl =
p/6lPl, where lPl is the Planck length and is the Barbero-Immirzi parameter.
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I can add that when using 6lPl the minimum surface area will be 24lPl (as per the bounce model and the minimum length model).
And when adding Lisa Randall or the calculations of Y. M. Cho and J. H. Kim
then Pl can becomes particle size.

Interestinggggg!. Beginning!
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