Modified clock inequalities and modified black hole lifetime

Impacts of Generalized Uncertainty Principle on Black Hole Thermodynamics and Salecker-Wigner Inequalities

We investigate the impacts of Generalized Uncertainty Principle (GUP) proposed by some approaches to quantum gravity such as String Theory and Doubly Special Relativity on black hole thermodynamics and Salecker-Wigner inequalities. Utilizing Heisenberg uncertainty principle, the Hawking temperature, Bekenstein entropy, specific heat, emission rate and decay time are calculated. As the evaporation entirely eats up the black hole mass, the specific heat vanishes and the temperature approaches infinity with an infinite radiation rate. It is found that the GUP approach prevents the black hole from…

修正的粒子寿命作为形变相对论的特征信号

Modified particle lifetimes as a signature of deformed relativity

该研究通过确定位置空间中的形变洛伦兹变换，证明形变狭义相对论中相对性原理与时钟假设相容，推导基本粒子寿命的第一性修正，提出可利用修正的时间膨胀高精度检验洛伦兹不变性。

Cosmological equivalence principle and the weak-field limit

The strong equivalence principle is extended in application to averaged dynamical fields in cosmology to include the role of the average density in the determination of inertial frames. The resulting cosmological equivalence principle is applied to the problem of synchronisation of clocks in the observed universe. Once density perturbations grow to give density contrasts of order one on scales of tens of megaparsecs, the integrated deceleration of the local background regions of voids relative to galaxies must be accounted for in the relative synchronisation of clocks of ideal observers who me…

From computation to black holes and space-time foam

We show that quantum mechanics and general relativity limit the speed $\tildeν$ of a simple computer (such as a black hole) and its memory space $I$ to $\tildeν^2 I^{-1} \lsim t_P^{-2}$, where $t_P$ is the Planck time. We also show that the life-time of a simple clock and its precision are similarly limited. These bounds and the holographic bound originate from the same physics that governs the quantum fluctuations of space-time. We further show that these physical bounds are realized for black holes, yielding the correct Hawking black hole lifetime, and that space-time undergoes much larger q…