Relativistic relative velocities and relativistic acceleration

Abstract

It turns out that the standard application of the four-vector SR formalism does not include the concept of relative velocity. Only the absolute velocity is described by the four-vector, and even the Lorentz transformation parameters is described by the three-dimensional velocity. This gap in the development of the SR formalism reflects the lack of some significant velocity subtraction operations. The differential application of these operations leads to a relativistic acceleration.

arXiv comment6 pages, 1 figure, 23 references, 66 equations

References in corpus (7)

• Intrinsic definitions of "relative velocity" in general relativity
• Lorentz invariant relative velocity and relativistic binary collisions
• Relativity grupoid insted of relativity group
• Defining of three-dimensional acceleration and inertial mass leading to the simple form F=MA of relativistic motion equation
• Lorentz-invariant three-vectors and alternative formulation of relativistic dynamics
• Making sense of relativistic composition of velocities
• Derivation of the relativistic momentum and relativistic equation of motion from Newton's second law and Minkowskian space-time geometry