Tamburini Fabrizio, Licata Ignazio
Rotonium, Le Village by CA, Pz. G. Zanellato, 23, 35131 Padua, Italy.
Institute for Scientific Methodology (ISEM), 90156 Palermo, Italy.
Entropy (Basel). 2024 Dec 9;26(12):1068. doi: 10.3390/e26121068.
The mathematical representation of the universe consists of sequences of symbols, rules and operators containing Gödel's undecidable propositions: information and its manipulation, also with Turing Machines. Classical information theory and mathematics, ideally independent from the medium used, can be interpreted realistically and objectively from their correspondence with quantum information, which is physical. Each representation of the universe and its evolution are, in any case, physical subsets of the universe, structured sets of observers and their complements in the universe made with spacetime events generated by local quantum measurements. Their description becomes a semantically closed structure without a global object-environment loss of decoherence as a von Neumann's universal constructor with a semantical abstract whose structure cannot be decided deterministically a priori from an internal observer. In a semantically closed structure, the realization of a specific event that writes the semantical abstract of the constructor is a problem of finding "which way" for the evolution of the universe as a choice of the constructor's state in a metastructure, like the many-world Everett scenario, from a specific result of any quantum measurement, corresponding to a Gödel undecidable proposition for an internal observer.
宇宙的数学表示由符号序列、规则和运算符组成,其中包含哥德尔不可判定命题:信息及其操作,这也与图灵机有关。经典信息论和数学,理想情况下独立于所使用的媒介,可以根据它们与量子信息的对应关系进行现实和客观的解释,而量子信息是物理的。宇宙及其演化的每一种表示在任何情况下都是宇宙的物理子集,是由局部量子测量产生的时空事件构成的观察者及其在宇宙中的补集的结构化集合。它们的描述成为一种语义封闭结构,不会像冯·诺依曼通用构造器那样出现全局对象 - 环境退相干损失,该构造器具有一个语义抽象,其结构不能从内部观察者的角度先验地确定性判定。在语义封闭结构中,实现写入构造器语义抽象的特定事件是一个问题,即从任何量子测量的特定结果中,为宇宙的演化找到“哪条路”,这如同在多世界埃弗雷特场景的元结构中选择构造器的状态,对应于内部观察者的哥德尔不可判定命题。