2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/206555Based on the analysis of the most natural and general ansatz, we conclude that the concept of twist symmetry, originally obtained for the noncommutative space-time, cannot be extended to include internal gauge symmetry. The case is reminiscent of the Coleman-Mandula theorem. Invoking the supersymmetry may reverse the situation.13 pages, more accurate motivation addedHigh Energy Physics - TheoryMathematical PhysicsTwist as a Symmetry Principle and the Noncommutative Gauge Theory Formulationtext