量子隧穿模型与黑洞寿命研究

Discuss the energy flux density near the event horizon of the black hole through using the radiation spectrum of the quantum tunneling model, then derive the black hole life span formula with the corrected energy flux density formula; calculate the time between the two events of "entering into the potential barrier" and "exiting from the potential barrier" of the radiation particles, and discuss the black hole life span through further analysis of this time; derive the corrected temperature formula of the black hole in the case of the higher order correction of the black hole entropy, then use the Stefan-Boltzmann law to re-calculate the black hole life span. The discussions about the black hole life span are conducive to developing and improving the quantum tunneling model, and then to becoming a more complete theoretical system, so that to giving people a more in-depth understanding of black hole radiation and to discussing the issues such as black hole distribution in the entire universe at the present stage.

利用Parikh-Wilczek量子隧穿模型的辐射能谱讨论黑洞视界附近能流密度，并通过修正后的能流密度公式推导黑洞寿命公式；根据广义相对论和朗道对钟原理，计算辐射粒子"穿进势垒"和"穿出势垒"两事件之间的时间，并通过对这一时间的进一步分析讨论黑洞寿命问题；通过求黑洞熵高阶修正情况下的黑洞温度的修正，并利用斯特潘-玻尔兹曼定律重新计算黑洞寿命。通过对黑洞寿命问题的讨论来发展和完善Parikh-Wilczek量子隧穿模型，使之成为一个比较完整的理论体系，使人们对黑洞辐射的认识更加深入，同时也有利于讨论现阶段在整个宇宙中黑洞分布等问题。

黑洞霍金辐射的发现使得黑洞寿命成为国际理论物理学界和天文学界所关注的热点问题。本项目通过利用量子隧穿模型的辐射能谱讨论了广义不确定原理下黑洞视界附近的能流密度，并通过修正后的能流密度公式推导黑洞寿命公式；通过利用统计物理学的系综模型来研究黑洞量子隧穿辐射能谱的具体表达式，并讨论黑洞的寿命问题；通过求黑洞熵高阶修正情况下的黑洞温度的修正，并利用斯特潘-玻尔兹曼定律重新计算黑洞寿命。通过对黑洞寿命问题的讨论来发展和完善量子隧穿模型，使之成为一个比较完整的理论体系，使人们对黑洞辐射的认识更加深入，同时也有利于讨论现阶段在整个宇宙中黑洞分布等问题。