Geometries with the second Poincar\'e symmetry
Chao-Guang Huang, Yu Tian, Xiao-Ning Wu, Zhan Xu, Bin Zhou
TL;DR
This paper introduces geometries with the second Poincaré symmetry, exploring their properties and proposing a new mechanics framework based on two universal constants, expanding the landscape of kinematical models.
Contribution
It presents the geometries associated with the second Poincaré symmetry and develops a new mechanics principle incorporating constants c and l.
Findings
New geometries with second Poincaré symmetry are characterized.
A novel mechanics framework based on two universal constants is established.
Properties of these geometries are systematically analyzed.
Abstract
The second Poincar\'e kinematical group serves as one of new ones in addition to the known possible kinematics. The geometries with the second Poincar\'e symmetry is presented and their properties are analyzed. On the geometries, the new mechanics based on the principle of relativity with two universal constants can be established.
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