A New Large-Number Coincidence and a Scaling Law for the Cosmological Constant
Abstract
An ensemble of pure numbers of order near 10122 is produced naturally from the fundamental parameters of modern cosmology. This new large-number coincidence problem is resolved by demonstrating implicit physical connections that follow from the standard cosmological model. However, the occurrence of the new large-number coincidence combined with the known coincidence among pure numbers of order near 1040 poses a distinct problem that is resolved with a scaling law for the cosmological constant that was originally proposed by Zel'dovich.
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