He Dongshan, Li Jinfang, Qiu Qian
College of Physics & Electronic Engineering, Xianyang Normal University, Xianyang 712000, China.
Entropy (Basel). 2025 Aug 16;27(8):870. doi: 10.3390/e27080870.
The key to resolving the black hole information loss paradox lies in clarifying the origin of black hole entropy and the mechanism by which black holes store information. By applying thermodynamic principles, we demonstrate that the entropy of a gravitational field is negative and proportional to the strength of the field, indicating that gravitational fields possess information storage capacity. For Schwarzschild black holes, we further demonstrate that information conventionally attributed to the black hole's interior is in fact encoded within its external gravitational field. During black hole evaporation, the emitted particles transmit this information via gravitational correlations. This study advances our understanding of gravitational field entropy and provides valuable insights toward resolving the black hole information loss problem.
解决黑洞信息丢失悖论的关键在于阐明黑洞熵的起源以及黑洞存储信息的机制。通过应用热力学原理，我们证明引力场的熵为负且与场强成正比，这表明引力场具有信息存储能力。对于史瓦西黑洞，我们进一步证明，传统上归因于黑洞内部的信息实际上编码在其外部引力场中。在黑洞蒸发过程中，发射出的粒子通过引力关联传递这些信息。这项研究推进了我们对引力场熵的理解，并为解决黑洞信息丢失问题提供了有价值的见解。
