Nenad Markovic

A Geometric Origin of Flavor II: Quark and Mixing Theorems, a Supergravity Vacuum, and a Falsifiable Neutrino Spectrum from the Degree-Three Monopole Bundle

A companion paper derived the charged-lepton sector — Koide’s relation and the mass hierarchy 1 : 206.770 : 3477.5 — from a single geometric object: a degree-three monopole bundle over an internal two-sphere, probed at unit charge by one spinorial doublet. This paper retains the...

A Geometric Origin of Flavor II: Quark and Mixing Theorems, a Supergravity Vacuum, and a Falsifiable Neutrino Spectrum from the Degree-Three Monopole Bundle

A companion paper derived the charged-lepton sector — Koide’s relation and the mass hierarchy 1 : 206.770 : 3477.5 — from a single geometric object: a degree-three monopole bundle over an internal two-sphere, probed at unit charge by one spinorial doublet. This paper retains the...

A Geometric Origin of the Koide Relation: Lepton Generations and Mass Hierarchy from a Degree-Three Monopole Bundle

The charged-lepton masses satisfy Koide’s relation K = 2/3 to five decimal places — for four decades an unexplained regularity. We present a geometric origin. The three generations are the complete zero-mode kernel of the Dirac operator on a degree-three monopole bundle over an i...

A Geometric Origin of the Koide Relation: Lepton Generations and Mass Hierarchy from a Degree-Three Monopole Bundle

The charged-lepton masses satisfy Koide’s relation K = 2/3 to five decimal places — for four decades an unexplained regularity. We present a geometric origin. The three generations are the complete zero-mode kernel of the Dirac operator on a degree-three monopole bundle over an i...