From Twistor Generations to Torsional Hadrons: A Complete Geometric-Algebraic Unification

We present a complete geometric-algebraic framework that simultaneously explains three fundamental mysteries of the Standard Model: the origin of exactly three fermion generations, the spin structure of the proton, and the mechanismof quark confinement. The theory is built upon twistor space T C4 endowed with three orthogonal complex structures 𝐼, 𝐽, 𝐾 and an additional operator 𝐿. Geometric quantization of this structure yields precisely 48 fermionic degrees of freedom (3 generations × 16), with quantum numbers arising as eigenvalues of the algebraic operators. The sameoperators appear in the gravitational sector as 𝑇 𝑎 = Í𝛼 𝛽𝛼𝑂 𝛼 𝐹 ( 𝛼) ∧ 𝑒𝑎, identifying gauge field strengths with spacetime torsion. This identity leads to confining torsion flux tubes, naturally reproducing the Nambu-Goto string action and linear potentials. Explicit construction of baryons as torsional knots yields accurate masses, radii, and – crucially – predicts that torsion carries Δ𝑇 ≈ 0.25 of the proton’s spin, resolving the "spin crisis". The framework is renormalizable via an ultraviolet fixed point and makes testable predictions for the Electron-Ion Collider and LHC.