Shor Oded, Benninger Felix, Khrennikov Andrei
Felsenstein Medical Research Center, Beilinson Hospital, Petach Tikva 4941492, Israel.
Sackler Faculty of Medicine, Tel Aviv University, Tel Aviv 6934206, Israel.
Entropy (Basel). 2022 Jan 25;24(2):181. doi: 10.3390/e24020181.
Following Smolin, we proceed to unification of general relativity and quantum theory by operating solely with events, i.e., without appealing to physical systems and space-time. The universe is modelled as a dendrogram (finite tree) expressing the hierarchic relations between events. This is the observational (epistemic) model; the ontic model is based on p-adic numbers (infinite trees). Hence, we use novel mathematics: not only space-time but even real numbers are not in use. Here, the p-adic space (which is zero-dimensional) serves as the base for the holographic image of the universe. In this way our theory is connected with p-adic physics; in particular, p-adic string theory and complex disordered systems (p-adic representation of the Parisi matrix for spin glasses). Our Dendrogramic-Holographic (DH) theory matches perfectly with the Mach's principle and Brans-Dicke theory. We found a surprising informational interrelation between the fundamental constants, , , , and their DH analogues, (), (), (). DH theory is part of Wheeler's project on the information restructuring of physics. It is also a step towards the Unified Field theory. The universal potential is nonlocal, but this is relational DH nonlocality. can be coupled to the Bohm quantum potential by moving to the real representation. This coupling enhances the role of the Bohm potential.
遵循斯莫林的思路，我们通过仅对事件进行操作来推进广义相对论和量子理论的统一，即不诉诸物理系统和时空。宇宙被建模为一个表达事件之间层次关系的树状图（有限树）。这是观测（认知）模型；本体模型基于p进数（无限树）。因此，我们使用了新颖的数学：不仅不使用时空，甚至实数也不使用。在这里，零维的p进空间作为宇宙全息图像的基础。通过这种方式，我们的理论与p进物理学相关联；特别是与p进弦理论和复杂无序系统（自旋玻璃的帕里西矩阵的p进表示）相关。我们的树状图 - 全息（DH）理论与马赫原理和布兰斯 - 迪克理论完美匹配。我们发现了基本常数、、、与其DH类似物（）、（）、（）之间惊人的信息相互关系。DH理论是惠勒物理学信息重构项目的一部分。它也是迈向统一场论的一步。通用势是非局部的，但这是关系性DH非局部性。通过转换到实表示，可与玻姆量子势耦合。这种耦合增强了玻姆势的作用。
