Betzios Panos, Papadoulaki Olga
Department of Physics and Astronomy, <a href="https://ror.org/03rmrcq20">University of British Columbia</a>, 6224 Agricultural Road, Vancouver, British Columbia V6T 1Z1, Canada.
CPHT, CNRS, <a href="https://ror.org/05hy3tk52">École polytechnique</a>, <a href="https://ror.org/042tfbd02">Institut Polytechnique de Paris</a>, 91120 Palaiseau, France.
Phys Rev Lett. 2024 Jul 12;133(2):021501. doi: 10.1103/PhysRevLett.133.021501.
We propose a new type of wave function for the Universe computed from the Euclidean path integral, with asymptotically anti-de Sitter (AdS) boundary conditions. In the semiclassical limit, it describes a Euclidean (half-)wormhole geometry, exhibiting a local maximum of the scale factor at the surface of reflection symmetry, giving rise to an expanding Universe upon analytic continuation to Lorentzian signature. We find that these Euclidean wormholes set natural initial conditions for inflation and that the semiclassical Wheeler-DeWitt wave function can favor a long-lasting inflationary epoch, resolving a well-known issue of the no-boundary proposal. Because of the asymptotic AdS conditions in the Euclidean past, they raise the possibility of describing the physics of inflating cosmologies and their perturbations within the context of holography.
我们提出了一种从欧几里得路径积分计算得到的新型宇宙波函数，其具有渐近反德西特（AdS）边界条件。在半经典极限下，它描述了一种欧几里得（半）虫洞几何结构，在反射对称面处展现出尺度因子的局部最大值，通过解析延拓到洛伦兹度规时会产生一个膨胀的宇宙。我们发现这些欧几里得虫洞为暴胀设定了自然的初始条件，并且半经典的惠勒 - 德维特波函数有利于一个持久的暴胀时期，解决了无边界提议中一个著名的问题。由于欧几里得过去的渐近 AdS 条件，它们增加了在全息术背景下描述暴胀宇宙学及其微扰物理的可能性。
