dorsal/arxiv
View SchemaRelativity principles in 1+1 dimensions and differential aging reversal
| Authors | E. Minguzzi |
|---|---|
| Categories | |
| ArXiv ID | physics/0412010 |
| URL | https://arxiv.org/abs/physics/0412010 |
| DOI | 10.1007/s10702-006-0799-6 |
| Journal | Found.Phys.Lett.19:353-365,2006 |
Abstract
We study the behavior of clocks in 1+1 spacetime assuming the relativity principle, the principle of constancy of the speed of light and the clock hypothesis. These requirements are satisfied by a class of Finslerian theories parametrized by a real coefficient $\beta$, special relativity being recovered for $\beta=0$. The effect of differential aging is studied for the different values of $\beta$. Below the critical values $|\beta| =1/c$ the differential aging has the usual direction - after a round trip the accelerated observer returns younger than the twin at rest in the inertial frame - while above the critical values the differential aging changes sign. The non-relativistic case is treated by introducing a formal analogy with thermodynamics.
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"abstract": "We study the behavior of clocks in 1+1 spacetime assuming the relativity\nprinciple, the principle of constancy of the speed of light and the clock\nhypothesis. These requirements are satisfied by a class of Finslerian theories\nparametrized by a real coefficient $\\beta$, special relativity being recovered\nfor $\\beta=0$. The effect of differential aging is studied for the different\nvalues of $\\beta$. Below the critical values $|\\beta| =1/c$ the differential\naging has the usual direction - after a round trip the accelerated observer\nreturns younger than the twin at rest in the inertial frame - while above the\ncritical values the differential aging changes sign. The non-relativistic case\nis treated by introducing a formal analogy with thermodynamics.",
"arxiv_id": "physics/0412010",
"authors": [
"E. Minguzzi"
],
"categories": [
"physics.class-ph",
"gr-qc",
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],
"doi": "10.1007/s10702-006-0799-6",
"journal_ref": "Found.Phys.Lett.19:353-365,2006",
"title": "Relativity principles in 1+1 dimensions and differential aging reversal",
"url": "https://arxiv.org/abs/physics/0412010"
},
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