Many vorticians are familiar with Gilsons paper on quantum coupling. He looks at the significance of alpha when reduced to geometry (topology) which seems to be something that everyone can grasp more easily than the formalism a spherical polygon of 137 sides.
One can imagine a dense cluster - an isomer of hydrogen containing 137 atoms, for instance. Dr. James Gilson's web site is www.fine-structure-constant.org and he proposes this value for alpha: 29 cos({pi}/137) tan({pi}/(137×29)) / {pi} The long and short of this is that Gilson thinks that the value 29 has a substantial significance for evaluating quantum coupling constants via the fine-structure-constant. The 3 values required are pi, 137, and 29. Does this insight have any connection to LENR if we assume that this field is based on QM reactions instead of thermonuclear? Specifically, is it totally coincidental then that copper element 29 is seen as a transmutation product in a number of LENR experiments including Rossi, the Cincinnati group, Pd-d, Ni-h, etc ? It is easy to opine that there is no logical or scientific connection, Gilson notwithstanding and in truth it sounds silly seeing it verbalized this way, since the simplest connection is by virtue of coppers proximity to nickel in the periodic table and/or the ubiquity of the element in metal refining, or the ubiquity as an electrical conductor (if there is no LENR). And why would only protons and not neutrons or the combination of both relate to enhanced probability of QM-based nuclear reactions? Short answer to that last question = the EMC effect or rather one of the newer versions of said effect where quark coherence becomes a factor. This is still a long way off from a workable hypothesis, for something like the Rossi reaction where copper shows up with little evidence of beta decay. But the general idea is that proton clusters of pycno are formed from spillover via a catalyst, and often accumulated in clusters of exactly 137 atoms which are geometrically favored due to the influence of fine-structure and/or another variable and that this kind of template somehow interacts by tunneling with nickel in such a way to encourage the transmutation to copper which is favored in a bijective transform (Laplace) on occasion, but at higher probability than expected. IOW this hypothesis is too bizarre to mention in polite company, and you will only hear it on Vortex. But it is shaping up in a couple of ways that seem promising, if not internally consistent (at least for the fringe of fizzix ). Jones