Ibrahim Vandenberg

A Zero-Parameter Derivation of Standard Model Parameters, Cosmology, and Planck-Scale Gravity from Torus Knot Topology on T³

The Standard Model of particle physics contains twenty-five empirical parameters (three gauge couplings, six quark masses, three charged lepton masses, three neutrino masses, four CKM mixing parameters, four PMNS mixing parameters, the Higgs mass, and the Higgs vacuum expectation...

Structural Completeness of the Torus-Knot Framework: The Standard Model and Gravity from T3 Topology

We present the consolidated programme of the Unified Quantum Gravity Architectural Framework (UQGAF), in which fundamental particles are modelled as coprime torus knots T(P, Q) on a three-torus vacuum manifold T³ = S¹ × S¹ × S¹ embedded in S³ ≅ SU(2). From this single geometric p...