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Geometric Origin of Neutrino Mass: The Seesaw Mechanism in the Zhang Effective Metric

Year: 2026
Type: preprint
Abstract: The non-zero but extraordinarily small mass of neutrinos remains one of the most profound mysteries in particle physics. While the standard Type-I Seesaw mechanism introduces heavy right-handed neutrinos to suppress the mass, it lacks a fundamental origin for the required heavy mass scale. In this paper, we demonstrate that the rotational-order geometric unification framework naturally provides this origin. Using the Zhang Effective Metric, we show that the coupling between 4D fermions and the internal S³ orientation field generates an effective geometric Seesaw mechanism. The heavy right-handed neutrino mass is dynamically identified with the Kaluza-Klein excitation scale of the S³ fibre, while the tiny left-handed neutrino mass arises from the geometric suppression factor η. This elegantly explains the neutrino mass scale without introducing arbitrary new parameters or ad-hoc symmetries.
Language: English
Open Access status: green
OpenAlex ID: W7224780913
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