Two alternative generalizations of Nottale's hypothesis in TGD framework
Nottale’s gravitational constant ℏgr= GMm/v0 contains the velocity parameter v0 as the only parameter. In the perturbative expansion of the scattering amplitudes β0=v0/c appears in the role of fine structure constant.
The models for the fountain effect of super-fluidity and for the effects of ELF radiation on vertebrate brain inspired a generalization of Nottale’s hypothesis by replacing the total mass M in the case of Earth by MD≈ 10-4ME suggesting that in this case the dark particles involved couple only to a part of mass identifiable as dark mass MD.
Since only GM appears in the basic formulas, the alternative option is that the value of G is reduced to GD. This conforms with the fact that in the TGD framework CP2 length is the fundamental parameter G is a prediction of the theory and therefore can vary.
These two options are discussed critically and compared.
See the article Two alternative generalizations of Nottale’s hypothesis in TGD framework or the chapter About the Nottale’s formula for hgr and the relation between Planck length and CP2 length.
Articles and other material related to TGD.
Source: http://matpitka.blogspot.com/2021/03/two-alternative-generalizations-of.html
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