The phenomenon is an excellent challenge for TGD, and in this article I will construct a TGD inspired model for it. The model relies on the notion of many-sheeted space-time distinguishing between Maxwellian electrodynamics and TGD. The model assumers a pair of magnetic flux tubes between electrons of opposite spin associated with the Rydberg atom. The flux tubes are parallel space-time sheets in M4× CP2 (same M4 projection) and are not distinguishable at QFT limit of TGD. They carry monopole fluxes with opposite directions and present in the region between spins, where the sum of the dipole fields vanishes in Maxwellian theory. The members of s2 electron pairs of BEC atoms are assumed to topologically condense at different parallel flux tubes of the pair minimizing ground state energy in this manner.
The model makes predictions surprisingly similar to the model of experimenters based on Born-Oppenheimer potential but there are also differences. An interesting possibility that if the generation of Rydberg involves time reversal as zero energy ontology suggests then the energy spectrum involved can be positive rather than consisting of bound states. Also a possible interpretation for the "endogenous" magnetic fields central in TGD inspired biology emerges.
See the article Rydberg polarons as a support for TGD view about space-time or the chapter Quantum Model for Bio-Superconductivity: II.
For a summary of earlier postings see Latest progress in TGD.