最大力猜想的反例
Counterexamples to the maximum force conjecture
摘要：
量纲分析表明，光速和牛顿引力常数可以结合起来定义一个具有力（相当于张力）量纲的量$F_* = {c^4\over G_N}$。那么在任何物理情况下，我们都必须有$F_{physical} = f \; F_*$，其中量$f$是无量纲参数的某个无量纲函数。在许多物理情况下，显式计算产生$f= O(1)$，并且经常产生$f \leq {1\over4}$。这导致多位作者提出了（弱或强）最大力/最大张力猜想。在标准广义相对论的框架内工作，我们将专注于这个猜想的反例，特别注意反例在物理上合理的程度。我们将探讨的各种反例强烈表明，人们不应过于相信任何普遍的最大力/最大张力猜想。具体来说，处于引力坍缩边缘的流体球一般会违反弱（和强）最大力定理。如果一个人希望保留“最大武力”的任何一般概念，那么他就必须非常仔细地精确地规定哪些力量可以被允许出现在话语的范围内。
英文摘要：
Dimensional analysis shows that the speed of light and Newton's constant of gravitation can be combined to define a quantity $F_* = {c^4\over G_N}$ with the dimensions of force (equivalently, tension). Then in any physical situation we must have $F_{physical} = f \; F_*$, where the quantity $f$ is some dimensionless function of dimensionless parameters. In many physical situations explicit calculation yields $f= O(1)$, and quite often $f \leq {1\over4}$. This has lead multiple authors to suggest a (weak or strong) maximum force/maximum tension conjecture. Working within the framework of standard general relativity, we will instead focus on counter-examples to this conjecture, paying particular attention to the extent to which the counter-examples are physically reasonable. The various counter-examples we shall explore strongly suggest that one should not put too much credence into any universal maximum force/maximum tension conjecture. Specifically, fluid spheres on the verge of gravitational collapse will generically violate the weak (and strong) maximum force conjectures. If one wishes to retain any general notion of "maximum force" then one will have to very carefully specify precisely which forces are to be allowed within the domain of discourse.
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。
