dorsal/arxiv
View SchemaThe clock paradox in a static homogeneous gravitational field
| Authors | Preston Jones, Lucas F. Wanex |
|---|---|
| Categories | |
| ArXiv ID | physics/0604025 |
| URL | https://arxiv.org/abs/physics/0604025 |
| DOI | 10.1007/s10702-006-1850-3 |
| Journal | Foundations of Physics Letters, Vol. 19, No. 1, February 2006, pp. 75-85 |
Abstract
The gedanken experiment of the clock paradox is solved exactly using the general relativistic equations for a static homogeneous gravitational field. We demonstrate that the general and special relativistic clock paradox solutions are identical and in particular that they are identical for finite acceleration. Practical expressions are obtained for proper time and coordinate time by using the destination distance as the key observable parameter. This solution provides a formal demonstration of the identity between the special and general relativistic clock paradox with finite acceleration and where proper time is assumed to be the same in both formalisms. By solving the equations of motion for a freely falling clock in a static homogeneous field elapsed times are calculated for realistic journeys to the stars.
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"abstract": "The gedanken experiment of the clock paradox is solved exactly using the\ngeneral relativistic equations for a static homogeneous gravitational field. We\ndemonstrate that the general and special relativistic clock paradox solutions\nare identical and in particular that they are identical for finite\nacceleration. Practical expressions are obtained for proper time and coordinate\ntime by using the destination distance as the key observable parameter. This\nsolution provides a formal demonstration of the identity between the special\nand general relativistic clock paradox with finite acceleration and where\nproper time is assumed to be the same in both formalisms. By solving the\nequations of motion for a freely falling clock in a static homogeneous field\nelapsed times are calculated for realistic journeys to the stars.",
"arxiv_id": "physics/0604025",
"authors": [
"Preston Jones",
"Lucas F. Wanex"
],
"categories": [
"physics.class-ph",
"physics.gen-ph"
],
"doi": "10.1007/s10702-006-1850-3",
"journal_ref": "Foundations of Physics Letters, Vol. 19, No. 1, February 2006, pp.\n 75-85",
"title": "The clock paradox in a static homogeneous gravitational field",
"url": "https://arxiv.org/abs/physics/0604025"
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