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The Emergence of Spacetime from the Quantum in Three Steps

机译:三步法从量子到时空的出现

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The paper presents a very simple and straight forward yet pure mathematical derivation of the structure of actual spacetime from quantum set theory. This is achieved by utilizing elements of the topological theory of cobordism and the Menger-Urysohn dimensional theory in conjunction with von Neumann-Connes dimensional function of Klein-Penrose modular holographic boundary of the E8E8 exceptional Lie group bulk of our universe. The final result is a lucid sharp mental picture, namely that the quantum wave is an empty set representing the surface, i.e. boundary of the zero set quantum particle and in turn quantum spacetime is simply the boundary or the surface of the quantum wave empty set. The essential difference of the quantum wave and quantum spacetime is that the wave is a simple empty set while spacetime is a multi-fractal type of infinitely many empty sets with increasing degrees of emptiness.
机译:本文从量子集理论提出了一个非常简单而又直接的纯数学推导方法,即对实际时空结构的推导。这是通过利用cobordism拓扑理论的元素和Menger-Urysohn维数理论以及我们宇宙中E8E8特殊Lie群的Klein-Penrose模块化全息边界的von Neumann-Connes维函数来实现的。最终的结果是清晰的头脑清晰的图像,即量子波是代表表面的空集,即零集量子粒子的边界,而量子时空又仅仅是量子波空集的边界或表面。量子波与量子时空的本质区别在于,波是一个简单的空集,而时空是一个无数个空集的多重分形类型,其空度增加。

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