Concept of semi-velocity and related wave equation
Robert M.Yamaleev
TL;DR
This paper introduces the semi-velocity as a relativistic analogue of phase velocity, providing a geometric interpretation and deriving a related wave equation based on the Fermat principle.
Contribution
It defines the semi-velocity as an exponential of rapidity and develops a new wave equation linked to relativistic kinematics and geometry.
Findings
Semi-velocity is an exponential function of rapidity.
A new wave equation related to semi-velocity is derived.
Geometric interpretation within Beltrami-Klein and Poincaré models.
Abstract
The semi-velocity is defined as an exponential function of the rapidity. Physically the semi-velocity is interpreted as the relativistic analogue of the phase velocity, a geometrical interpretation done within the framework of Beltrami-Klein and Poincar\'e models. A kinematical wave equation related with the Fermat principle and the concept of the semi-velocity is derived.
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Taxonomy
TopicsExperimental and Theoretical Physics Studies · Computational Physics and Python Applications