Consequences of Godel Theorems on Third Quantized Theories Like String Field Theory and Group Field Theory
| Autor: | Faizal, Mir, Shabir, Arshid, Khan, Aatif Kaisar |
|---|---|
| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | The observation that spacetime and quantum fields on it have to be dynamically produced in any theory of quantum gravity implies that quantum gravity should be defined on configuration space of fields rather than spacetime. Such a theory that is defined on the configuration space of fields rather than spacetime is a third quantized theory. So, both string theory and group field theory are third-quantized theories. Thus, using axioms of string field theory, we motivate similar axioms for group field theory. Then using the structure of these axioms for string field theory and group field theory, we identify general features of axioms for any such third quantized theory of quantum gravity. Thus, we show that such third-quantized theories of quantum gravity can be formulated as formal axiomatic systems. We then analyze the consequences of Godel theorems on such third quantized theories. We thus address problems of consistency and completeness of any third quantized theories of quantum gravity. Comment: 14 PAGES |
| Databáze: | arXiv |
| Externí odkaz: |
|