Can spinfoam/LQG use a G at particle size?

[jal]

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.

 

[jal]

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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[Entropia]

I cannot provide a definitive answer without further research and experimentation, but based on my understanding of spinfoam/LQG (loop quantum gravity), it is possible that they could use a G (gravitational constant) at particle size. Spinfoam/LQG is a theoretical framework that attempts to reconcile general relativity and quantum mechanics, and it is still an active area of research with many unanswered questions. However, the concept of a dimensional reduction and a relatively large internal space, as discussed in the paper, could potentially be incorporated into spinfoam/LQG. The idea of a geometric mass generation mechanism through the curvature of space-time is also in line with the principles of spinfoam/LQG.

There are also ongoing efforts to incorporate the Standard Model of particle physics into spinfoam/LQG, which could potentially provide a more complete understanding of the hierarchy problem and the origin of mass. However, more research and experimentation is needed to fully explore the possibilities and limitations of spinfoam/LQG in regards to particle size and mass generation. It is an exciting and complex area of study that will continue to be explored by scientists in the future.