2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/34496We determine transformations between coordinate systems which are mutually in linear accelerated motion. In case of the symmetrical linear mutual acceleration, we immediately get the maximal acceleration limit which was derived by Caianiello from quantum mechanics. The derived results can play crucial role in modern particle physics.12 pagesGeneral Relativity and Quantum CosmologyThe Space-time Transformations Between Accelerated Systemstext