Groups of Coordinate Transformations between Accelerated Frames

نویسندگان

چکیده

The analysis of the present paper reveals that, besides relativistic symmetry expressed by Lorentz group coordinate transformations which leave invariant Minkowski metric space-time inertial frames, there exists one more a leaving frames with constant proper-acceleration. It is remarkable in flat space-time, only those two symmetries, corresponding to groups continuous extended rigid reference exist. Therefore, new should be considered on an equal footing symmetry. proper-acceleration are determined using Lie analysis, supplemented requirement that include or from accelerated frame. Two-parameter two-dimensional (1 + 1), three-dimensional (2 and four-dimensional (3 1) transformations, parameters related ratio accelerations relative velocity frame space origins at initial moment, can as counterparts dimensions. Defining form interval satisfying relativity principle paves way defining forms laws dynamics electrodynamics frames. Thus, problem extending uniformly has been resolved without use equivalence and/or general equations. As application purely kinematic phenomena, differential aging between twins treated.

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ژورنال

عنوان ژورنال: Symmetry

سال: 2023

ISSN: ['0865-4824', '2226-1877']

DOI: https://doi.org/10.3390/sym15061226