What question did this study set out to answer?

This research aims to derive the mass structure of Majorana neutrinos using topology.

March 31, 2026Open Access

BCT Letter 196: The Majorana-Hopf Connection — Neutrino Mass Geometry from OHC Topology

Key Points

This research aims to derive the mass structure of Majorana neutrinos using topology.
Utilized OHC Hopf charge topology to connect neutrino mass and geometry.
Defined Majorana fermions through half-integer Hopf charge states.
Calculated seesaw scale geometrically.
Derived seesaw scale M_R as 6.695 × 10¹⁴ GeV.
Identified PMNS CP phase δ_CP as −π/2, indicating maximal mixing.
Predicted neutrinoless double beta decay rate proportional to α₀ × m_ν with no free parameters.

Abstract

BCT Letter 196 derives the Majorana neutrino mass structure from OHC Hopf charge topology. In the BCT framework, Majorana fermions correspond to half-integer Hopf charge states H = 1/2 — the topological boundary between fermionic (H ∈ ℤ + 1/2) and bosonic (H ∈ ℤ) sectors. The seesaw scale MR = mP × α₀² = 6. 695 × 10¹⁴ GeV is derived geometrically. The PMNS CP phase δCP = −π/2 (maximal) follows from the D4 triality structure. BCT Prediction #239: neutrinoless double beta decay rate proportional to α₀ × m_ν. Zero free parameters.

BCT Letter 196: The Majorana-Hopf Connection — Neutrino Mass Geometry from OHC Topology

Key Points

Abstract

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