2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/203889Following our earlier work \cite{sunandan1, sunandan2}, we derive noncommuting phase-space structures which are combinations of both the $κ$-Minkowski and Snyder algebra by exploiting the reparametrisation symmetry of the recently proposed Lagrangian for a point particle \cite{subir} satisfying the exact Doubly Special Relativity dispersion relation in the Magueijo-Smolin framework.Accepted in Euro Physics LettersHigh Energy Physics - Theorytext