Euclidean Special Relativity |
| |
Authors: | Alexander Gersten |
| |
Institution: | (1) Department of Physics, Ben-Gurion University of the Negev, 84105 Beer-Sheva, Israel |
| |
Abstract: | New four coordinates are introduced which are related to the usual space-time coordinates. For these coordinates, the Euclidean four-dimensional length squared is equal to the interval squared of the Minkowski space. The Lorentz transformation, for the new coordinates, becomes an SO(4) rotation. New scalars (invariants) are derived. A second approach to the Lorentz transformation is presented. A mixed space is generated by interchanging the notion of time and proper time in inertial frames. Within this approach the Lorentz transformation is a 4-dimensional rotation in an Euclidean space, leading to new possibilities and applications. |
| |
Keywords: | special relativity Euclidean 4-space-time mixed space Lorentz transformation |
本文献已被 SpringerLink 等数据库收录! |
|