EQUIVALENT FORCES IN NEWTON EQUATION FROM TWIST DEFORMATIONS AND NON-INERTIAL COORDINATE FRAMES

We compare two ways of forces generated in the model of nonrelativistic particle moving in the presence of constant field force F. One of them uses the twist-deformed N-enlarged Newton–Hooke quantum spacetimes while the other incorporates the Coriolis transformations of classical space. In particular, we find the conditions for which both treatments provide the same forces. The presented investigations are performed by analogy to the schemes and ideas proposed in Ref. 1.

GENERATING OF ADDITIONAL FORCE TERMS IN NEWTON EQUATION BY TWIST-DEFORMED HOPF ALGEBRAS AND CLASSICAL SYMMETRIES

We compare two ways of force terms generating in the model of nonrelativistic particle moving in the presence of constant field force [Formula: see text]. First of them uses the twist-deformed acceleration-enlarged Newton–Hooke quantum space-times while the second one incorporates the doubly enlarged Newton–Hooke transformations of classical space. Particularly, we find the conditions for which both the treatments provide the same force terms.