维也纳理工大学和法兰克福歌德大学的物理学家首次用数学公式精确描述了一种奇异的时空晶体现象1。研究团队发现,在临界状态下,极微小的能量变化足以决定这种结构的命运——它要么逐渐消散,要么突然坍缩成微观黑洞1。
为了克服传统四维空间计算的困难,研究人员采用了创新的数学方法,通过在无穷维度中分析问题来简化复杂的理论计算1。这项工作为研究原始黑洞和微观黑洞的形成机制提供了新的工具1。虽然计算机模拟早在1993年就首次表明黑洞可能通过临界行为自发形成,但这是物理学家首次严格推导出这一现象的精确公式1。相关研究成果已发表在《物理评论快报》2026年136卷第19期上1。
Physicists from Vienna University of Technology and Goethe University Frankfurt have derived the first precise mathematical formulas describing an exotic spacetime crystal phenomenon, demonstrating how minute energy fluctuations at a critical threshold can determine whether the structure dissipates or collapses into a microscopic black hole 1. The researchers circumvented the computational difficulties inherent in traditional four-dimensional calculations by analyzing the problem in infinite dimensions, thereby providing a new analytical tool for studying primordial and microscopic black holes 1.
The study reveals that at the critical boundary state, even infinitesimal increases in energy can tip the system toward one of two outcomes: dispersal or gravitational collapse 1. This work builds on earlier computer simulations from 1993 that first suggested black holes could spontaneously form through critical behavior, though a rigorous mathematical treatment has remained elusive until now 1. The findings were published in Physical Review Letters, Volume 136, Issue 19 in 2026 1.
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