A bstract large class of flat big bang-big crunch cosmologies with negative cosmological constant are related by analytic continuation to asymptotically AdS traversable wormholes planar cross section. In recent works ( arXiv:2102.05057 , arXiv:2203.11220 ) it was suggested that such wormhole geometries may be dual a pair 3D holographic CFTs coupled via auxiliary degrees freedom give theory conf...

We establish a close relationship between, on the one hand, expanding, codimension one attractors of diffeomorphisms on closed manifolds (examples of so-called strange attractors), and, on the other, spaces which arise in the study of aperiodic tilings. We show that every such orientable attractor is homeomorphic to a tiling space of either a substitution or a projection tiling, depending on it...

Ways in which physical objects interact are explored, and in particular the concept of freedom is analysed. Intuitively, the fit between two shapes in a given spatial configuration is a statement about how much one shape needs to mutilated in order to be made identical to the other. The freedom of one object with respect to another specifies what motions the First object can go through without ...