On the creation of an inflationary universe from nothing in a higher-dimensional theory of gravity with higher-derivative terms

Mathematics – Probability

Scientific paper

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Expansion, Gravitational Constant, Space-Time Functions, Universe, Cosmology, Galactic Evolution, Quantum Theory, Scalars

Scientific paper

The Universe may have been created from nothing as a quasi-de Sitter space-time, by a process of quantum tunnelling. The probability P for such a tunnelling process to occur in proportional to exp(-chemical bond Ssub(E)chemical bond), where Ssub(E) is the Euclidean action. The maximum probability corresponds to a confiugration with Ssub(E)=O. This idea can be realized in a higher-dimensional theory of gravity with higher derivative terms, in which a scalar field phi arises as the inverse radius function of the internal space. Subsequent evolution of the field phi may permit inflation.

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