Disclaimer: I'm not a physicist; just a hobbyist interested in these topics.
What I understood, while reading this part of the article, was the author meant something along the line of supersymmetry[1,2] (as Groups are all about symmetry – up to isomorphism).
From CERN Supersymmetry article[1]:
If supersymmetric particles were included in the Standard Model, the interactions of its three forces – electromagnetism and the strong and weak nuclear forces – could have the exact same strength at very high energies, as in the early universe.
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