Asymptotic Freedom and Quark Confinement as Geometric Theorems from Foam Torsion Topology

Key Points

• The research aims to demonstrate two key properties of Quantum Chromodynamics (QCD) as geometric theorems derived from foam topology.
• Proved asymptotic freedom and quark confinement as theorems using geometric inequalities.
• Analyzed the dimensional properties of T₂g within the context of quark behavior.
• Examined fractional torsion winding numbers to establish confinement.
• Asymptotic freedom is shown to result from a geometric inequality involving dimensionality and the number of flavors.
• Quark confinement identified as a consequence of topological invariants related to torsion.
• String tension determined as a constant derived from the geometric properties of the model.