Current Research in Next Generation Materials Engineering
Generalized Uncertainty Relations in SU(3) Confinement Systems
Abstract
Chur Chin
We propose a novel generalization of the Heisenberg uncertainty principle in SU(3) confinement systems, where the position of a confined particle (e.g., quark or electron) is conjugate to the collective motion of the system, including gauge fields and angular momentum. Using Dirac quantization, Wilson loops, and lattice QCD, we demonstrate that non- Abelian gauge symmetries and topological effects (e.g., Chern-Simons terms, instantons) lead to modified uncertainty relations. Holographic AdS/QCD perspectives further support these findings. Numerical simulations confirm confinement via Wilson loop area laws and non-zero topological entanglement entropy, suggesting potential violations of standard uncertainty principles in strongly coupled systems.
