用微观黑洞温度确定最小长度
Determination of the Minimal Length by Microscopic Black Hole Temperature
摘要:
我们以前的工作(其中经典动能已被使用)在这项工作(其中超相对论动能被使用)的推广结果,我们提出了一个原始的变种的最小长度(对应于普朗克长度)的确定形成一个微观(微小)黑洞。像以前的一些作者,我们使用海森堡坐标动量不确定性关系,一方面。但是,而不是度规涨落(由爱因斯坦方程的二阶导数获得),推广的不确定性关系的一个附加项,由以前的作者,我们使用霍金温度的黑洞和标准的海森堡坐标动量不确定性关系。
英文摘要:
Generalizing results of our previous work (where classical kinetic energy has been used) in this work (where ultra-relativistic kinetic energy is used) we suggest an original variant of the determination of minimal length (corresponding to Plank length) by formation of a microscopic (tiny) black hole. Like to some previous authors we use Heisenberg coordinate-momentum uncertainty relation, on the one hand. But, instead of metric fluctuation (obtained by second derivative in Einstein equations) that generalizes uncertainty relation by an additional term, used by previous authors, we use Hawking temperature of the black hole and standard Heisenberg coordinate-momentum uncertainty relation.
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