This theoretical framework connects particle masses and constants from a geometric object, presenting significant implications for particle physics.
Key Points
This research aims to explore how the topology of the three-sphere (S³) can explain the masses of particles and fundamental constants without adjustable parameters.
Utilized the topology of the three-sphere S³ and Hopf fibration.
Derived particle masses from the electron and muon masses using nested geometric structures.
Predicted various constants and masses through mathematical relationships involving Bessel functions.
Predicted the tau lepton mass with 0.006% accuracy.
Obtained the fine-structure constant with accuracy of 0.011%.
Delivered 25 parameter-free predictions across five classes of observables.