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    Solving the cosmic coincidence problem: The locally pumped dark energy model

    Carlo R. Contaldi*

    Mauro Pieroni†

    • *Contact author: c.contaldi@imperial.ac.uk
    • †Contact author: mauro.pieroni@csic.es

    Phys. Rev. D 114, 063546 – Published 25 September, 2026

    DOI: https://doi.org/10.1103/r31l-ck9x

    Abstract

    We propose the locally pumped dark energy (LPDE) mechanism in which cosmic acceleration is triggered by the emergence of nonlinear dark matter structure. In an effective-field-theory description, coarse-graining over the density contrast profile, whose short-wavelength modes grow during halo formation, induces a shift in the local equilibrium point of a second, sufficiently heavy scalar field χ. At early times, the pump mechanism is negligible and χ remains fixed at the origin, contributing no DE. As structures form, the equilibrium value of χ is locally displaced within halos, generating a vacuum energy whose global contribution, in a mean-field picture, is controlled by the halo volume filling factor. If the χ field is sufficiently heavy, with a Compton wavelength limited by halo scales, its response is localized, and spatial gradients are exponentially suppressed on large scales. After volume-averaging over the halo population, the resulting contribution on large scales behaves as a homogeneous DE component. Using the halo mass function of a fiducial ΛCDM cosmology, we show that vacuum-energy domination generically emerges at z∼O(1), naturally correlating cosmic acceleration with structure formation. For reference, we present an explicit realization of such a mechanism and show that, by naturally featuring a transient acceleration epoch, it can be in excellent agreement with the most recent cosmological data, including the Dark Energy Spectroscopic Instrument (DESI).

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