Euclidean action, nucleation energy and the dimensionality of space-time

Mathematics – Logic

Scientific paper

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Scientific paper

When assigning relative nucleation probabilitiesP˜e -I for real tunneling configurations in Euclidean quantum cosmology, it is proposed to compare differentP's at equal values of the nucleation energy, instead of the cosmological constant. This approach is more likely to predict the space-time dimension to be four than the standard procedure. We summarize previous work and include some arguments that do not rely on the value of the gravitational constant in higher dimensions.

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