dorsal/arxiv
View SchemaDifferential aging from acceleration, an explicit formula
| Authors | E. Minguzzi |
|---|---|
| Categories | |
| ArXiv ID | physics/0411233 |
| URL | https://arxiv.org/abs/physics/0411233 |
| DOI | 10.1119/1.1924490 |
| Journal | Am.J.Phys. 73 (2005) 876-880 |
Abstract
We consider a clock 'paradox' framework where an observer leaves an inertial frame, is accelerated and after an arbitrary trip comes back. We discuss a simple equation that gives, in the 1+1 dimensional case, an explicit relation between the time elapsed on 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. Using this observation we define the differential aging as a function of proper time and show that it is non-decreasing. The reconstruction problem of special relativity is also discussed showing that its, at least numerical, solution would allow the construction of an 'inertial clock'.
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"abstract": "We consider a clock \u0027paradox\u0027 framework where an observer leaves an inertial\nframe, is accelerated and after an arbitrary trip comes back. We discuss a\nsimple equation that gives, in the 1+1 dimensional case, an explicit relation\nbetween the time elapsed on the inertial frame and the acceleration measured by\nthe accelerating observer during the trip.\n A non-closed trip with respect to an inertial frame appears closed with\nrespect to another suitable inertial frame. Using this observation we define\nthe differential aging as a function of proper time and show that it is\nnon-decreasing. The reconstruction problem of special relativity is also\ndiscussed showing that its, at least numerical, solution would allow the\nconstruction of an \u0027inertial clock\u0027.",
"arxiv_id": "physics/0411233",
"authors": [
"E. Minguzzi"
],
"categories": [
"physics.class-ph",
"gr-qc",
"physics.gen-ph"
],
"doi": "10.1119/1.1924490",
"journal_ref": "Am.J.Phys. 73 (2005) 876-880",
"title": "Differential aging from acceleration, an explicit formula",
"url": "https://arxiv.org/abs/physics/0411233"
},
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