Predictions of the absolute neutrino mass scale and the effective Majorana mass mββ in the GTWSSF–USC–GTCW formalism Technical Annex A16

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Authors: Robert Kupski
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Abstract

Abstract Technical Annex A16 (dated 10 March 2026) presents the complete, reproducible and sharply falsifiable predictions of the absolute neutrino mass scale and the effective Majorana mass mββ m_{\beta\beta} mββ within the Global Theory of Shared Couplings of Fundamental Structures (GTSFC–USC–GTCW). Employing the frozen Operator A10 — defined solely in terms of immutable Universal Structural Code (USC) constants and a single experimental oscillation anchor Δm322 \Delta m_{32}^2 Δm322 — the framework yields a parameter-free prediction for the heaviest neutrino mass eigenstate: m^ν3=0.0472±0.0071 eV. \hat{m}_{\nu_3} = 0.0472 \pm 0.0071\,\text{eV}. m^ν3=0.0472±0.0071eV. In the preferred E-A closure (rank-2 mass matrix with the condition det⁡Mν=0 \det M_\nu = 0 detMν=0), full Monte-Carlo propagation (300 000 trials) of the latest oscillation priors (T2K + NOvA + JUNO 2025) gives: Σmν=0.05871±0.00041 eV, \Sigma m_\nu = 0.05871 \pm 0.00041\,\text{eV}, Σmν=0.05871±0.00041eV, with the kinematic effective mass mβ=0.00883±0.00002 eV m_\beta = 0.00883 \pm 0.00002\,\text{eV} mβ=0.00883±0.00002eV. A dedicated 100 000-trial Monte-Carlo simulation of Majorana phases (using JUNO 2025 mixing parameters) establishes the range mββ∈[1.50,3.74] meV m_{\beta\beta} \in [1.50, 3.74]\,\text{meV} mββ∈[1.50,3.74]meV (bimodal distribution; median 2.86 meV; 68 % CL interval [1.725, 3.640] meV). These results simultaneously satisfy the kinematic lower bound from neutrino oscillations (Σmν≥0.05005 eV \Sigma m_\nu \ge 0.05005\,\text{eV} Σmν≥0.05005eV) and lie comfortably within the most stringent cosmological upper limit from DESI DR2 (Σmν

Fields of Study & Subjects

Neutrino Physics Research Particle physics theoretical and experimental studies Nuclear physics research studies

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
10 March 2026
Language
PL