普朗克尺度相对论的某些物理问题：一种简化的方法
On Some Physical Aspects of Planck-Scale Relativity:A Simplified Approach
摘要：
使用简化的方法重新审视双尺度相对论（新相对论）的运动学。这种方法不仅使我们能够推导出前面由Kowalski-Glikman介绍的色散方程，而且还可以找到一个额外的色散关系，更重要的是，为这种关系提供了物理基础。它们被解释为这样一个事实，即在观测者不变的双尺度相对论（新相对论）中，普朗克常量不再保持恒定，而是依赖于普适的长度尺度。这导致在任何尺度下能量和频率之间的正确关系。
英文摘要：
The kinematics of the two-scale relativity theory (new relativity) is revisited using a simplified approach. This approach allows us not only to derive the dispersion equation introduced earlier by Kowalski-Glikman, but to find an additional dispersion relation, and, even more important, to provide a physical basis for such relations. They are explained by the fact that in the observer invariant two-scale relativity (new relativity) the Planck constant does nor remain constant anymore, but depends on the universal length scale. This leads to the correct relation between energy and frequency at any scale.
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