Possible solution to the cosmological-constant problem

Mathematics

Scientific paper

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Cosmology, Gravitation Theory, Relativistic Theory, Singularity (Mathematics)

Scientific paper

Classically the unimodular theory of gravity with a constrained determinant is equivalent to general relativity augmented by an arbitrary cosmological constant Lambda which arises as an integration constant. At the quantum level it is argued that an integration over Lambda should be included in the Euclidean path integral for the vacuum functional. The fully renormalized Lambda = 0 overwhelmingly dominates all other contributions yielding a zero observed cosmological constant. While the technical part of the argument is similar to that of the wormhole argument, the two approaches are logically different.

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