What if the Vacuum Energy Density Depends on the Curvature of Space within the Horizon?

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I describe and explore the implications of a simple hypothesis that the present vacuum energy density depends directly on the ratio of the Hubble length to the universe-wide radius of curvature. If this were true, then the vacuum energy density would have increased steadily from the end of cosmic inflation until shortly before the present epoch, but it would have begun to decrease after it recently became dominant and triggered the present accelerating expansion. The most pertinent predictions of this hypothesis are that the vacuum energy is greater in the present era than at any other time from the end of inflation to infinitely far in the future, and that the total density parameter presently may differ from unity by a significant amount.

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