AI 中文总结
研究黑洞熵中1/4因子的来源，通过基于余切丛规范辛结构和零光线空间因果分裂的纯几何推导，揭示该因子源于四维洛伦兹时空零边界的因果几何，无需引力场方程。
AI 中文摘要
贝肯斯坦 - 霍金熵\(S = k_B A/4\lp^2\)包含一个\(1/4\)系数，许多量子引力方法都对其进行过计算。我们表明这个因子源于四维洛伦兹时空任意零边界的因果几何。一个启发式可达性论证得到了基于余切丛上规范辛结构和零光线空间因果分裂的纯几何推导的支持，且未调用引力场方程。
英文摘要
The Bekenstein--Hawking entropy $S = k_B A/4\lp^2$ contains a coefficient $1/4$ that has been calculated by many approaches to quantum gravity. We show that this factor arises from the causal geometry of any null boundary in a four-dimensional Lorentzian spacetime. A heuristic accessibility argument is supported by a purely geometric derivation using the canonical symplectic structure on the cotangent bundle and the causal splitting of the space of null rays. No gravitational field equations are invoked.
CommentsAccepted for publication in CQG. 11 pages. 1 figure
