About Platonization of Nuclear String Model and of Model of Atoms

Platonization of atomic and nuclear physics could be said to be the theme of this work. The construction of electron configurations of atoms and proton and neutron configurations of atomic physics have considerable analogies and the spectra have essentially the same structure in the standard model.

In the TGD framework, the nuclear string model proposes that nuclei form nuclear strings. By quantum classical correspondence energy shells decomposing to subshells containing states with a given angular momentum should have geometric correlates and should correspond to discretization of 2-D surfaces, sphere is a good guess. The first guess is that a nuclear string connecting nucleons is associated with a Platonic solid having nucleons at its vertices.

Therefore Platonic solids as analogs of solid states lattices could provide the discretized space-time and momentum space correlates for energy shells. The nuclear string connecting nucleons would correspond to a Hamilton cycle, which connects the V vertices of the Platonic tessellation and decomposes the edges of the Platonic tessellation to V edges of the cycle and F-2 free edges in its complement. The ends of the edges of the Hamilton cycle could contain neutrons and the middle points of the free edges could contain protons (or vice versa in the case of icosahedron). This assignment is suggested by the repulsive Coulomb interaction and explains neutron surplus as well as neutron halos.

Starting from the angular momentum structure of the Periodic Table, one ends up with a detailed model. For low enough angular momentum l odd and even values of L_z would correspond to different tessellations and for high values of l finite field arithmetics for Z_p, p large enough prime, defines the decomposition of angular momenta into subsets assignable to tessellations. The twistor lift of TGD explains why fermions with opposite spins correspond to different points of the Platonic solid identified as discretizations of the twistor sphere of discretized momentum twistor space of M⁴. One expected that this construction generalizes to arbitrary Lie groups using the analogs of Platonic solids defined by the discrete subspaces of the coset spaces of the group and its Cartan algebra.

Various objections against Platonization lead to a rather radical prediction. There is a holography mapping the nuclear states to generalized atomic states such that protons correspond to electron shells and neutrons to neutrino shells. The tritium beta decay anomaly has an elegant quantitative explanation in terms of this anomaly. The myth of elusive neutrinos would be wrong. The technological implications could be enormous.

See the article About Platonization of Nuclear String Model and of Model of Atoms or the chapter with the same title.

For a summary of earlier postings see Latest progress in TGD.

For the lists of articles (most of them published in journals founded by Huping Hu) and books about TGD see this.