2004/11/25 by E. Minguzzi · 2 citations
Physics and Astronomy · #Noncommutative and Quantum Gravity Theories #Pulsars and Gravitational Waves Research #Relativity and Gravitational Theory #gr-qc #physics.class-ph #physics.gen-ph
paper · pdf · doi:10.1119/1.1924490
published as Am.J.Phys. 73 (2005) 876-880 · Revtex4, 5 pages, 1 fugure
arxiv created 2004/11/25 · openalex publication_date 2005/08/16 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We consider a clock paradox where an observer leaves an inertial frame, is accelerated, and after an arbitrary trip returns. We discuss a simple equation that gives an explicit relation in 1+1 dimensions between the time elapsed in the inertial frame and the acceleration measured by the accelerating observer during the trip. A non-closed trip with respect to an inertial frame appears closed with respect to another suitable inertial frame. We use this observation to define the differential aging as a function of proper time. The reconstruction problem of special relativity is discussed and it is shown that its solution would allow the construction of an inertial clock.