期刊
ASTRONOMISCHE NACHRICHTEN
卷 -, 期 -, 页码 -出版社
WILEY-V C H VERLAG GMBH
DOI: 10.1002/asna.20230148
关键词
branch cut cosmology; scalar field; inflation
This paper focuses on the implications of a commutative formulation that integrates branch-cutting cosmology, the Wheeler-DeWitt equation, and Horava-Lifshitz quantum gravity. It explores the impact of branch-cut gravity and scalar fields on the wave function of the Universe, revealing a unique spacetime structure.
This paper focuses on the implications of a commutative formulation that integrates branch-cutting cosmology, the Wheeler-DeWitt equation, and Horava-Lifshitz quantum gravity. Building on a mini-superspace structure, we explore the impact of an inflaton-type scalar field on the wave function of the Universe. Specifically analyzing the dynamical solutions of branch-cut gravity within a mini-superspace framework, we emphasize the scalar field's influence on the evolution of the evolution of the wave function of the Universe. Our research unveils a helix-like function that characterizes a topologically foliated spacetime structure. The starting point is the Horava-Lifshitz action, which depends on the scalar curvature of the branched Universe and its derivatives, with running coupling constants denoted as gi$$ {g}_i $$. The corresponding wave equations are derived and are resolved. The commutative quantum gravity approach preserves the diffeomorphism property of General Relativity, maintaining compatibility with the Arnowitt-Deser-Misner formalism. Additionally, we delve into a mini-superspace of variables, incorporating scalar-inflaton fields and exploring inflationary models, particularly chaotic and nonchaotic scenarios. We obtained solutions for the wave equations without recurring to numerical approximations.
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