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There are some interesting calculations in this paper.

http://arxiv.org/PS_cache/arxiv/pdf/0708/0708.2590v1.pdf [Broken]

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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# Can spinfoam/LQG use a G at particle size?

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