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A New View on Relativity: Part 2. Relativistic Dynamics

2007
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Old and New Concepts of Physics
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The Lorentz transformations are represented on the ball of relativistically admissible velocities by Einstein velocity addition and rotations. This representation is by projective maps. The relativistic dynamic equation can be derived by introducing a new principle which is analogous to the Einstein's Equivalence Principle, but can be applied for any force. By this principle, the relativistic dynamic equation is defined by an element of the Lie algebra of the above representation. If we

doi:10.2478/v10005-007-0013-z
fatcat:kv3ejxvvhfarjk3asxmihtrkli