Geometric Confinement from Torsion Flux Tubes: An Algebraic Unification of QCD and Gravity

This paper presents a novel geometric interpretation of quark confinement within an algebraic framework unifying gravity and gauge interactions. We demonstrate that the QCD flux tube, responsible for quark confinement, is fundamentally identical to a torsion tube in spacetime geometry. The theory is built upon an extended Clifford algebra structure with orthogonal imaginary units separating gauge sectors. The key result shows that the torsion 2-form 𝑇 𝑎 is proportional to the gluon field strength 𝐺𝑏𝜇𝜈 via 𝑇 𝑎 = 𝛽3 𝑘𝐺𝑏𝜇𝜈𝜆𝑏 ∧ 𝑒𝑎 ∧ 𝑑𝑥𝜇 ∧ 𝑑𝑥𝜈 , establishing a direct geometric basis for confinement. The model predicts a string tension 𝜎 ≈ (440 MeV)2, linear potentials, and Regge trajectories while naturallyincorporating the Higgs mechanism and fermion masses through the same algebraic structure. We further demonstrate how the Nambu-Goto string action emerges from the geometric description of torsion flux tubes and reveal the topological nature of confinement through Stokes’ theorem applied to color flux quantization.