Abstract

The author has recently proposed that the cosmological constant problem could be resolved by assuming that the space-time itself behaves as the phase of Higgs condensate and is discrete in nature with the fundamental unit, say “the atom”, of the condensate in Planck size 1 . Based on such hypotheses, the vacuum energy could be extremely large in microscopic scale but comparatively very small in macroscopic scale. It is analogous to the situation that the mass density inside the atomic nucleus (~10 18 kg/m 3 ) is extremely larger than the mass density of common materials (~10 3 kg/m 3 ). The theoretically calculated macroscopic vacuum energy density macro ρ , which corresponds to the cosmological constant λ, can be found by the microscopic vacuum energy density m (that behaves as the binding energy density of the condensate) averaged, or say projected, over the condensate in macroscopic scale as

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