用德雷克公式对费米佯谬的概率分析：L因子的作用
A probabilistic analysis of the Fermi paradox in terms of the Drake formula: the role of the L factor
摘要：
在用德雷克公式计算银河系科技文明数量N时，人们往往把重点放在描述文明产生的天体物理和生物技术因素上，而较少关注与文明消亡密切相关的寿命。有人认为，这个因素实际上是最重要的德雷克公式的实际影响，因为它决定了任何技术文明的“势力范围”的最大程度。利用德雷克公式的简化形式，通过蒙特卡罗模拟，对银河系中N个文明在其航天寿命L内的扩张过程进行了研究。在这个框架中，“直接接触”的概率被确定为N个文明的“势力范围”所占据的银河体积的分数。分析的结果被用来确定费米悖论的参数空间中的区域。有人认为，在一个大的区域的图表，相应的参数建议，而“弱”费米悖论。未来的研究可能会揭示一个“强”悖论是否在参数空间的某个部分。最后，有人认为，N的值不受N=1的约束，从下面，与通常假设相反，但它可能有一个统计解释。
英文摘要：
In evaluating the number of technological civilizations N in the Galaxy through the Drake formula, emphasis is mostly put on the astrophysical and biotechnological factors describing the emergence of a civilization and much less on its the lifetime, which is intimately related to its demise. It is argued here that this factor is in fact the most important regarding the practical implications of the Drake formula, because it determines the maximal extent of the "sphere of influence" of any technological civilization. The Fermi paradox is studied in the terms of a simplified version of the Drake formula, through Monte Carlo simulations of N civilizations expanding in the Galaxy during their space faring lifetime L. In the framework of that scheme, the probability of "direct contact" is determined as the fraction of the Galactic volume occupied collectively by the "spheres of influence" of N civilizations. The results of the analysis are used to determine regions in the parameter space where the Fermi paradox holds. It is argued that in a large region of the diagram the corresponding parameters suggest rather a "weak" Fermi paradox. Future research may reveal whether a "strong" paradox holds in some part of the parameter space. Finally, it is argued that the value of N is not bound by N=1 from below, contrary to what is usually assumed, but it may have a statistical interpretation.
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。
