物理学从零开始信M。Tegmark的“数学宇宙”
Physics from scratch. Letter on M. Tegmark's ``The Mathematical Universe''
摘要：
在最近的一篇文章中，M。泰格马克提出了一个假设，即我们已知的宇宙是一个“无行李”的数学结构，在许多其他可能的结构中，它也对应于其他物理宇宙-数学宇宙假设，MUH。自然地，问题出现了，比如如何从数学结构中获得我们世界的物理特性，或者存在多少可能性使宇宙与我们的宇宙最小相似。在这封信中，我们提出了一些结果，可以被视为加强MUH，因为他们给了一些提示，推导时空在当前物理学从一个行李免费的数学结构。具体地说，我们认为，一套数学结构，可以解释为一个时空的描述是急剧减少，如果承认一些自然的最小对称性假设。此外，经典伽利略-牛顿时空和相对论时空的显然非常特殊的形式不是任意的，不能被视为"任意许多其他可能性中的两种可能性“。事实上，这样的理论是由一个单一的数学结构决定的，它只允许四种可能的时空类型。最后，我们展示了对称性的最小假设如何被赋予一个简单的物理解释，即，他们以自然的方式获得“行李”。
英文摘要：
In a recent article, M. Tegmark poses the hypothesis that our known universe is a ``baggage free'' mathematical structure among many other possible ones, which also correspond to other physical universes --Mathematical Universe Hypothesis, MUH. Naturally, questions arise, such as how to obtain the physical properties of our world from the mathematical structure, or how many possibilities exist for a Universe minimally similar to ours. In this letter we present some results which can be regarded as a strengthening of MUH, as they give some hints on the derivation of spacetime in current physics from a baggage free mathematical structure. Concretely, we argue that the set of mathematical structures which can be interpreted as a description of a spacetime is drastically reduced, if one admits some natural postulates on minimal symmetry. Furthermore, the apparently very particular form of classical Galilei-Newton and relativistic spacetimes, is not arbitrary and cannot be regarded as ``two possibilities among arbitrarily many others''. In fact, such theories are determined by a single mathematical structure which only permits four possible types of spacetimes. Finally, we show how the minimal postulates on symmetry can be endowed with a simple physical interpretation, i.e., they acquire ``baggage'' in a natural way.
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。
