On Radar Time and the Twin `Paradox'

Details On Radar Time and the Twin `Paradox' On Radar Time and the Twin `Paradox'

2001-04-24

arxiv.org/abs/gr-qc/0104077v2

Am.J.Phys. 69 (2001) 1257-1261

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, 10 figures. Minor changes (includes minor corrections not in published version)

Scientific paper

10.1119/1.1407254

In this paper we apply the concept of radar time (popularised by Bondi in his work on k-calculus) to the well-known relativistic twin `paradox'. Radar time is used to define hypersurfaces of simultaneity for a class of travelling twins, from the `Immediate Turn-around' case, through the `Gradual Turn-around' case, to the `Uniformly Accelerating' case. We show that this definition of simultaneity is independent of choice of coordinates, and assigns a unique time to any event (with which the travelling twin can send and receive signals), resolving some common misconceptions.

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