一种新型多元宇宙、哥德尔定理以及经典力学、量子力学和量子引力的非标准逻辑
A new type of Multiverse, Gödel theorems and the nonstandard logic of classical, quantum mechanics and quantum gravity
AI总结：
本文探讨新型多元宇宙表示与哥德尔不完备性的联系，证明经典力学、量子力学和量子引力均不完备，因而包含不可判定命题并遵循三值逻辑。
摘要：
本文提出了在一种新型多元宇宙表示、哥德尔不可判定性定理与经典力学、量子力学和量子引力的逻辑之间建立可能联系的问题。为此，首先在非相对论经典力学、量子力学和量子引力的语境中讨论了多元宇宙的示例情形。结果证实，得益于哥德尔定理，非相对论经典力学、量子力学以及量子引力理论都是不完备的。因此，它们必然承认可不可判定的逻辑命题，并服从一种三值布尔逻辑，即具有真、假和不可判定三种不同逻辑真值的命题逻辑。
英文摘要：
The problem is posed of establishing a possible relationship between a new type of Multi-verse representation, Gödel undecidability theorems and the logic of classical, quantum mechanics and quantum gravity. For this purpose example cases of multi-verses are first discussed in the context of non-relativistic classical, quantum mechanics and quantum gravity. As a result, it is confirmed that thanks to Gödel theorems non-relativistic classical and quantum mechanics, as well as quantum gravity theory are incomplete. As a consequence, they necessarily admit undecidable logical propositions and therefore obey a three-way boolean logical, i.e., a propositional logic with the three different logical truth values true, false and undecidable.
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。
