The Clock Paradox in a Static Homogeneous Gravitational Field1
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.
 Publication:

Foundations of Physics Letters
 Pub Date:
 February 2006
 DOI:
 10.1007/s1070200618503
 arXiv:
 arXiv:physics/0604025
 Bibcode:
 2006FoPhL..19...75J
 Keywords:

 Physics  Classical Physics;
 Physics  General Physics
 EPrint:
 Revision: Posted with the caption included with the figures