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arXiv · 2501.04045

A new type of Multiverse, G\"odel theorems and the nonstandard logic of classical, quantum mechanics and quantum gravity

Massimo Tessarotto·Claudio Asci·Alessandro Soranzo·Marco Tessarotto·Gino Tironi
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Abstract

The problem is posed of establishing a possible relationship between a new type of Multi-verse representation, G\"odel 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 G\"odel 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.

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Massimo Tessarotto, Claudio Asci, Alessandro Soranzo, Marco Tessarotto, Gino Tironi. 2025-01-05. A new type of Multiverse, G\"odel theorems and the nonstandard logic of classical, quantum mechanics and quantum gravity. https://arxiv.org/abs/2501.04045

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