论文标题
全息时空,牛顿的定律和地平线的动态
Holographic Space-time, Newton`s Law, and the Dynamics of Horizons
论文作者
论文摘要
我们通过随机张量模型来重新审视D维Minkowski空间中量子重力模型的构建,并在我们先前对该受试者的治疗方法中纠正了一些错误。我们找到了一大批模型,其中大型冲击参数散射量表具有牛顿定律等能量和影响参数。这些模型中的散射幅度描述了颗粒喷头的散射,还包括生产具有黑洞所有参数特性的高度元稳定状态的幅度。尽管基于时间依赖的哈密顿人,但这些模型仍具有新兴的能量,动量和角度保护法。未产生中间黑洞的散射幅度具有时间订购的FEYNMAN图时空结构:通过自由颗粒传播连接的局部相互作用顶点(真正的Sterman-Weinberg颗粒射流)。但是,在某些幅度上,喷气机碰撞形成大型元稳定物体,具有黑洞的所有缩放特性:能量,熵和温度,以及扰动衰减的特征时间尺度。我们概括了Sekino和Susskind的猜想,以声称所有这些模型都是快速的扰动者。这一说法的理由是,在保留差异性的量的模糊子组下,相互作用是不变的,因此它们在全息屏幕上是高度非本地的。我们回顾这种形式主义如何解决防火墙悖论。
We revisit the construction of models of quantum gravity in d dimensional Minkowski space in terms of random tensor models, and correct some mistakes in our previous treatment of the subject. We find a large class of models in which the large impact parameter scattering scales with energy and impact parameter like Newton`s law. The scattering amplitudes in these models describe scattering of jets of particles, and also include amplitudes for the production of highly meta-stable states with all the parametric properties of black holes. These models have emergent energy, momentum and angular conservation laws, despite being based on time dependent Hamiltonians. The scattering amplitudes in which no intermediate black holes are produced have a time-ordered Feynman diagram space-time structure: local interaction vertices connected by propagation of free particles (really Sterman-Weinberg jets of particles). However, there are also amplitudes where jets collide to form large meta-stable objects, with all the scaling properties of black holes: energy, entropy and temperature, as well as the characteristic time scale for the decay of perturbations. We generalize the conjecture of Sekino and Susskind, to claim that all of these models are fast scramblers. The rationale for this claim is that the interactions are invariant under fuzzy subgroups of the group of volume preserving diffeomorphisms, so that they are highly non-local on the holographic screen. We review how this formalism resolves the Firewall Paradox.