Structural Origin of Neutrino Mass Relations

This work presents a zero-parameter structural formulation of neutrino mass relations. Using the fixed constants = 136, S = 3124, with the inherited electron-sector quantities\ (\) and \ (mₑ\), the neutrino masses are expressed as ₁mₑ=12S⁴, \ ₂mₑ= (1+13R²) m ₁mₑ, \ ₃mₑ= (2+1R) m ₁mₑ. resulting mass spectrum is ₁=0. 02246~eV, \ ₂=0. 02405~eV, \ ₃=0. 05529~eV, \ m_=0. 10180~eV. corresponding mass-squared differences are\ m₂₁²=7. 4210^-5\ eV², \\ m₃₂²=2. 4810^-3\ eV², are consistent with current oscillation measurements. The formulation introduces no neutrino-sector fitting parameters. The inputs \ (\) and \ (mₑ\) are inherited from the electron-sector structure, while the neutrino mass hierarchy is determined entirely by the fixed ratios \ (R\) and \ (S\). The predicted absolute neutrino masses and total neutrino mass provide a direct opportunity for future experimental and cosmological tests. A minimal Python implementation is provided for full reproducibility: https: //github. com/yasuotanakaresearch/zero-parameter-structure