Authors: Alberto Coe
This paper presents a purely illustrative exploration of some numerical hierarchies that emerge when comparing different energy and time scales in the present-day Universe. A dimensionless parameter is introduced, constructed from the ratio between the energy density associated with the nonlinear gravitational structure and that of the cosmic microwave background, weighted by the ratio between the so-called Planck’s time and atomic unit of time. The resulting extremely small value reflects the enormous separation of scales between the physics of the early Universe, the relict background radiation, and the late cosmological structure. This analysis does not aim to establish new dynamic relationships or fundamental magnitudes, but rather to offer a numerical curiosity in the spirit of traditional discussions about large numbers in cosmology.
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[v1] 2026-01-27 13:17:28
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