2013/07/06 by S. Habib Mazharimousavi, M. Halilsoy, Mazharimousavi, S. Habib +1 · 1 citation
Physics and Astronomy · #Experimental and Theoretical Physics Studies #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Quantum and Classical Electrodynamics #Relativity and Gravitational Theory #gr-qc
paper · pdf · doi:10.48550/arxiv.1308.2981
6 pages, no figure
arxiv created 2013/07/06 · openalex publication_date 2013/07/06 · arxiv updated 2013/08/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We revisit Newton's equation of motion in one dimension when the moving particle has a variable mass m(x,t) depending both on position (x) and time (t). Geometrically the mass function is identified with one of the metric function in a 1+1-dimensional spacetime. As a reflection of the equivalence principle geodesics equation gives the Newton's law of motion leaving the right hand side to be supplemented by the external forces. The resulting equation involves the speed of light so that our equation of motion addresses a wider scope than the customary classical mechanics. In the limit of infinite light speed which amounts to instantaneous interaction we recover the classical results.