数学宇宙
The Mathematical Universe
摘要：
我探讨了外部现实假说（ERH）的物理含义，即存在一个完全独立于我们人类的外部物理现实。我认为，一个足够广泛的数学定义，它意味着数学宇宙假说（MUH），我们的物理世界是一个抽象的数学结构。我讨论了ERH和MUH的各种含义，从标准的物理学主题，如对称性，不可约表示，单位，自由参数，随机性和初始条件到更广泛的问题，如意识，平行宇宙和哥德尔不完全性。我假设只存在可计算和可判定（在哥德尔的意义上）的结构，这缓解了宇宙学测量问题，并有助于解释为什么我们的物理定律看起来如此简单。我还评论了数学结构，计算，模拟和物理系统之间的密切关系。
英文摘要：
I explore physics implications of the External Reality Hypothesis (ERH) that there exists an external physical reality completely independent of us humans. I argue that with a sufficiently broad definition of mathematics, it implies the Mathematical Universe Hypothesis (MUH) that our physical world is an abstract mathematical structure. I discuss various implications of the ERH and MUH, ranging from standard physics topics like symmetries, irreducible representations, units, free parameters, randomness and initial conditions to broader issues like consciousness, parallel universes and Godel incompleteness. I hypothesize that only computable and decidable (in Godel's sense) structures exist, which alleviates the cosmological measure problem and help explain why our physical laws appear so simple. I also comment on the intimate relation between mathematical structures, computations, simulations and physical systems.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
