| AAPPS Bulletin
Vol. 15 No. 5, October 2005 |
Articles
Extended Lorentz
Transformations for Accelerated Frames and the
Solution of the “Two-Spaceship Paradox”
(PDF,
184KB)
Jong-Ping Hsu†
Nobuhiro Suzuki
†National
Center for Theoretical Sciences, Taiwan
‡Department
of Physics, University of Massachusetts
Dartmouth, USA
abstract
We demonstrate a resolution to the “two-spaceship paradox” by
explicit calculation using coordinate transformations with at
least one frame undergoing constant linear acceleration. A
metric such as ds2 = (1 + Kx)2dw2—dx2—dy2—dz2
can lead to a coordinate transformation between an inertial
frame and a frame moving with a constant
linear acceleration. This coordinate transformation reduces to
the Lorentz transformation in the limit
of zero acceleration. |
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