论文标题
探索cotangent束几何形状中的黑洞力学
Exploring black hole mechanics in cotangent bundle geometries
论文作者
论文摘要
量子引力环境的经典和连续性极限可能会导致介观的几何学概念W.R.T.伪里曼尼亚人是特殊和一般相对论之一。表征这种修改的时空概念的一种可能的方法是通过动量依赖度量，以使能量不同的粒子可以探测不同的空位。实际上，通过考虑弯曲的动量空间，在几何环境中理解了双重相对论的理论，在保持相对原理的同时将特殊的相对论运动学变形。最近研究了这些动量空间延伸到弯曲的空间及其可能的现象学意义。在这一研究之后，我们在这里解决了黑洞热力学的前两个定律，在cotangent束指标的背景下，取决于动量和时空坐标，这与相对论变形的动力学兼容。
The classical and continuum limit of a quantum gravitational setting could lead, at mesoscopic regimes, to a very different notion of geometry w.r.t. the pseudo-Riemannian one of special and general relativity. A possible way to characterize this modified space-time notion is by a momentum dependent metric, in such a way that particles with different energies could probe different spacetimes. Indeed, doubly special relativity theories, deforming the special relativistic kinematics while maintaining a relativity principle, have been understood within a geometrical context, by considering a curved momentum space. The extension of these momentum spaces to curved spacetimes and its possible phenomenological implications have been recently investigated. Following this line of research, we address here the first two laws of black holes thermodynamics in the context of a cotangent bundle metric, depending on both momentum and space-time coordinates, compatible with the relativistic deformed kinematics of doubly special relativity.
