2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/34605Some physically interesting weak-gravitational effects and phenomena are reviewed and briefly discussed: particle geometric phases due to the time-dependent spin-rotation couplings, non-inertial gravitational wave in rotating reference of frame, hyperbolical geometric quantum phases and topological dual mass as well.6 pages. LatexGeneral Relativity and Quantum Cosmologytext