They see (conserved) topological defects as baryon numbers, while we with Manfried Faber interpret them as electric charges for charge quantization.
They use trivial vacuum (potential with single minimum) getting only short-range interactions (nuclear), while we use S^2 (-> SO(3), SO(1,3)) vacuum due to Higgs-like potential - allowing for long-range interactions like Coulomb (for S^2 vacuum + QM for SO(3) vacuum + GEM for SO(1,3) Lorentz group vacuum).
For SO(3) vacuum, like in biaxial nematic liquid crystals, we can construct hedgehog with one of 3 axes: the same topological/electric charge, but different mass - resembling 3 leptons, also requiring magnetic dipole moment due to hairy ball theorem.
Is there a way to follow this research or you, personally? Do you have a blog? Just few your comments on HN demonstrate that you have tons of knowledge about modern science.
E.g. recently I have proposed (and search for collaboration) two-way quantum computers - enhancement with CPT analogue of state preparation, potentially solving NP problems:
Lots of talks: http://solitonsatwork.net/?display=archive
Nuclei article: https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.12...
They see (conserved) topological defects as baryon numbers, while we with Manfried Faber interpret them as electric charges for charge quantization.
They use trivial vacuum (potential with single minimum) getting only short-range interactions (nuclear), while we use S^2 (-> SO(3), SO(1,3)) vacuum due to Higgs-like potential - allowing for long-range interactions like Coulomb (for S^2 vacuum + QM for SO(3) vacuum + GEM for SO(1,3) Lorentz group vacuum).
This is similar to liquid crystals situation (I use similarity with) - for which they get long-range e.g. Coulomb-like interactions, see e.g.: https://pubs.rsc.org/en/content/articlelanding/2019/sm/c9sm0... , https://journals.aps.org/pre/abstract/10.1103/PhysRevE.76.01... , https://www.nature.com/articles/s41598-017-16200-z
For SO(3) vacuum, like in biaxial nematic liquid crystals, we can construct hedgehog with one of 3 axes: the same topological/electric charge, but different mass - resembling 3 leptons, also requiring magnetic dipole moment due to hairy ball theorem.