由宇宙学常数导出黑洞质量的基本尺度
A fundamental scale of mass for black holes from the cosmological constant
摘要：
正的宇宙学常数的存在自然地导致两个基本尺度的长度，即德西特视界和与全息自由度相关的细胞半径。与每一个尺度相关的是宏观的引力质量和微观的量子力学质量。这四个基本质量中的三个已经在文献中讨论过了，本工作确定了剩余质量的物理意义，即与全息长度相关的引力质量。该质量约为10^{12}kg，与宇宙学常数的六次方根成正比，代表了黑洞的质量，其蒸发时间等于基本宇宙时间，即宇宙的基本时间。宇宙的当前年龄。它也代表了一个黑洞的最小质量，该黑洞能够吸积一个康普顿波长等于基本全息长度的粒子，基本全息长度是核子的康普顿波长的数量级。
英文摘要：
The existence of a positive cosmological constant leads naturally to two fundamental scales of length, being the De Sitter horizon and the radius of the cell associated with a holographic degree of freedom. Associated with each of those scales of length are a macroscopic gravitational mass and a microscopic quantum mechanical mass. Three of those four fundamental masses have been discussed in the literature, and this present work identifies the physical significance of the remaining mass, being the gravitational mass associated with the holographic length. That mass, which is of the order 10^{12}kg and inversely proportional to the sixth root of the cosmological constant, represents the mass of the black hole whose evaporation time is equal to the fundamental cosmic time, which is of the order the current age of the universe. It also represents the minimum mass of a black hole that is capable of accreting a particle whose Compton wavelength is equal to the fundamental holographic length, which is of the order the Compton wavelength of the nucleon.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
