标题： 修正海森堡代数的 emergent 宇宙模型 显示英文标题

标题： Emergent Universe Model from Modified Heisenberg Algebra

摘要： 我们提出了一个发端宇宙的图像，在其中初始条件的精细调节被截断物理所取代。当涉及宇宙动力学时，这种截断物理在半经典层面上实现；而对于暴胀场的量子涨落，则是在纯粹量子层面上实现。 所采用的截断物理受到聚合物量子力学的启发，但在小晶格步长的极限下进行了扩展。 在准经典层面上，这导致了哈密顿宇宙动力学的修正泊松括号，类似于广义不确定性原理代数。 由此产生的宇宙确实渐近地为爱因斯坦静态宇宙，它从遥远过去的有限体积构型中出现，然后与宇宙最重要的阶段适当连接。 随后通过将新物理视为场每个傅里叶模式的标准哈密顿量的小修正来计算原始暴胀谱的修改。 这项研究的优点在于提供了一个新的非奇异发端宇宙的范式，它与微波背景温度分布的具体指纹相关联，原则上可以通过未来的实验观测到。 显示英文摘要

摘要： We provide an Emergent Universe picture in which the fine-tuning on the initial conditions is replaced by cut-off physics, implemented on a semiclassical level when referred to the Universe dynamics and on a purely quantum level for the quantum fluctuations of the inflaton field. The adopted cut-off physics is inspired by Polymer Quantum Mechanics but expanded in the limit of a small lattice step. On a quasi-classical level, this results in modified Poisson Brackets for the Hamiltonian Universe dynamics similar to a Generalized Uncertainty Principle algebra. The resulting Universe is indeed asymptotically Einstein-static, emerging from a finite volume configuration in the distant past and then properly reconnecting with the most relevant Universe phases. The calculation of the modifications of the primordial inflaton spectrum is then performed by treating new physics as a small correction on the standard Hamiltonian of each Fourier mode of the field. The merit of this study is to provide a new paradigm for a non-singular Emergent Universe, which is associated with a precise fingerprint on the temperature distribution of the microwave background, in principle observable by future experiments.