罗-费舍尔信息几何和动态的事件宇宙观点分布的分布
Oded Shor1,2, Felix Benninger1,2,3, Andrei Khrennikov4
1Felsenstein Medical Research Center, Beilinson Hospital, Petach Tikva, Israel.
Heliyon
|October 9, 2023
概括
我们介绍 Dendrogramic Holographic theory (DHT),这是一个使用 p-adic 数和树结构的事件宇宙的新数学模型. DHT统一了广义相对论和量子力学,将宇宙嵌入到一个四维空间中,并提供了一个新的适当时间概念.
科学领域:
- 理论物理 理论物理
- 数学物理 数学物理
- 宇宙学的宇宙学是什么?
背景情况:
- 目前的物理模型 (GR和QM) 缺乏统一的框架.
- 事件宇宙概念需要一个强大的数学模型.
- 信息几何学和形状动力学为物理理论提供了新的视角.
研究的目的:
- 为事件宇宙开发一种新的数学模型,称为树状图全息理论 (DHT).
- 将信息几何和随机几何集成到DHT中.
- 在这个新的理论框架内探索时间和空间的基本性质.
主要方法:
- 将事件表示为树木图 (有限和无限树) 的分支.
- 使用p-adic数用于数学结构的代数表示.
- 应用Rao-Cramer的信息几何和来自事件视图的随机几何.
- 将巴伯的形状复杂度度量适应DHT.
主要成果:
- DHT提供了一个基本理论,有可能产生广义相对论 (GR) 和量子力学 (QM).
- 事件宇宙结构可以嵌入四维实体空间.
- 引入了一种新的"适当时间"概念,这取决于观察者分布的变化.
- 该理论将时间与变化联系起来,与形状动态原理保持一致.
结论:
- DHT为物理学提供了一个统一的数学框架,连接不同的概念,如p-adic数,dendrograms和信息几何学.
- 该模型为现实结构和时间的性质提供了新的视角.
- DHT有可能调和GR和QM,为未来的理论进步铺平道路.
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