Theory demonstrates required particle states in G2 framework, indicating convergence at a high energy scale.
A theory is tested less by what it reproduces than by what it requires. We set out the particle content the G2 framework forces beyond the Standard Model, derived from the representation structure rather than added by choice. The generation, embedded as 16 = 8s + 8c with each eight decomposing under G2 and colour, contains four singlets, among them a right-handed neutrino — absent from the minimal Standard Model and required for neutrino mass, which is observed. The quaternionic sector supplies a right-handed weak group SU(2)_R and its heavy gauge bosons. The third triality representation, 8v, decomposes into colour-triplet and colour-singlet scalars: the triplets are leptoquarks, which must be heavy to preserve proton stability and coincide with the mediators of the framework's already-stated proton decay; the singlets comprise the Standard Model Higgs and one further colour-singlet scalar, split from it by triality breaking. Together with the previously reported dark-sector candidate and axion, these constitute a definite extended spectrum. We note a striking internal consistency: four independent considerations — the seesaw scale implied by the neutrino mass, the leptoquark scale required by proton stability, the unification scale, and the right-handed breaking scale — all fall within one window near 10¹⁵⁻¹⁶ GeV. We are explicit that this is a convergence, not a derivation: the framework fixes the structure and the relations, while the absolute scale remains its single irreducible input.
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Vali Ilyas (2026) studied this question.
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