26 citations · 65 across the 7 of their papers we have counts for
7 papers
Relativity from the Geometrization of Newtonian Dynamics
Yaakov Friedman, Tzvi Scarr
Based on the Generalized Principle of Inertia, which states that: \emph{An inanimate object moves freely, that is, with zero acceleration, in its own spacetime, whose geometry is d…
A geometric relativistic dynamics under any conservative force
Y. Friedman, T. Scarr, J. Steiner
Riemann's principle "force equals geometry" provided the basis for Einstein's General Relativity - the geometric theory of gravitation. In this paper, we follow this principle to d…
Synchronization in Uniformly Accelerated Frames
Tzvi Scarr
We show that a system is uniformly accelerated if and only if all of the clocks in the system can be synchronized to each other, and the clocks will remain synchronized as long as…
Uniform Acceleration in General Relativity
Yaakov Friedman, Tzvi Scarr
We extend de la Fuente and Romero's defining equation for uniform acceleration in a general curved spacetime from linear acceleration to the full Lorentz covariant uniform accelera…
Spacetime Transformations from a Uniformly Accelerated Frame
Yaakov Friedman, Tzvi Scarr
We use Generalized Fermi-Walker transport to construct a one-parameter family of inertial frames which are instantaneously comoving to a uniformly accelerated observer. We explain…
Making the Relativistic Dynamics Equation Covariant: Explicit Solutions for Motion under a Constant Force
Yaakov Friedman, Tzvi Scarr
We derive a 4D covariant Relativistic Dynamics Equation. This equation canonically extends the 3D relativistic dynamics equation , where $\mathbf…
Covariant Uniform Acceleration
Yaakov Friedman, Tzvi Scarr
We show that standard Relativistic Dynamics Equation F=dp/dτis only partially covariant. To achieve full Lorentz covariance, we replace the four-force F by a rank 2 antisymmetric t…