发表机构
Dr. Babasaheb Ambedkar Marathwada University（巴巴萨海布·安贝德卡尔马拉特瓦达大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究在洛伦兹几何中构建引力聚焦的熵基表述，将Raychaudhuri方程重写为熵产生定律，证明积分熵超初始膨胀临界阈值时必然出现测地不完备性，定量改进经典奇点定理，为引力坍缩提供热力学解释。
AI 中文摘要
我们通过将标量熵泛函与类时测地汇关联，在洛伦兹几何中构建了引力聚焦的基于熵的表述。将Raychaudhuri方程重写为熵产生定律后，我们证明熵积累控制膨胀标量的演化并驱动有限时间聚焦。我们证明，当积分熵超过初始膨胀设定的临界阈值时，必然会出现测地不完备性。该结果对经典奇点定理进行了定量改进，用显式熵判据替代了定性几何条件。我们的方法为引力坍缩提供了热力学解释，并表明奇点作为时空中不可逆熵增长的终点出现。
英文摘要
We develop an entropy-based formulation of gravitational focusing in Lorentzian geometry by associating a scalar entropy functional to timelike geodesic congruences. Rewriting the Raychaudhuri equation as an entropy production law, we show that entropy accumulation governs the evolution of the expansion scalar and drives finite-time focusing. We prove that when the integrated entropy exceeds a critical threshold set by the initial expansion, geodesic incompleteness necessarily follows. This result provides a quantitative refinement of the classical singularity theorems, replacing qualitative geometric conditions with an explicit entropy criterion. Our approach offers a thermodynamic interpretation of gravitational collapse and suggests that singularities arise as endpoints of irreversible entropy growth in spacetime.
CommentsLATEX;
Journal refPhysics Letters B Date: July 2026 Article: 140508 Volume: Volume 878
DOI：10.1016/j.physletb.2026.140508
