Cosmological Constant and Fundamental Length

Physics

Scientific paper

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Scientific paper

In usual formulations of general relativity, the cosmological constant λ appears as an inelegant ambiguity in the fundamental action principle. With a slight reformulation, λ appears as an unavoidable Lagrange multiplier, belonging to a constraint. The constraint expresses the existence of a fundamental element of space-time hypervolume at every point. The fundamental scale of length in atomic physics provides such a hypervolume element. In this sense, the presence in relativity of an undetermined cosmological length is a direct consequence of the existence of a fundamental atomic length.

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