Elastic field causing noncommutativity
The study investigates how a uniform torsion background, modeling screw dislocations, induces effective spatial noncommutativity and reshapes the energy spectrum of a free quantum particle. By encoding this geometric background into the metric, the torsion acts as an effective magnetic field. This leads to a Hamiltonian that yields energy eigenvalues described as 'Landau + small corrections,' confirming that geometry can generate noncommutative parameters relevant to condensed matter physics.