Abstract

We present a theory of weak gravity parametrized by a fundamental frequency [Formula: see text] of the cosmological horizon, where [Formula: see text] and [Formula: see text] denote the Hubble and, respectively, deceleration parameter. It predicts (i) a [Formula: see text] onset to weak gravity across accelerations [Formula: see text] in galaxy rotation curves, where [Formula: see text] denotes the de Sitter acceleration with velocity of light [Formula: see text], and (ii) fast evolution [Formula: see text] of the deceleration parameter by [Formula: see text] satisfying [Formula: see text], [Formula: see text], distinct from [Formula: see text] in [Formula: see text]CDM. The first is identified in the high resolution data of Lelli et al. (2017), the second in the heterogeneous data on [Formula: see text] over [Formula: see text]. A model-independent cubic fit in the second rules out [Formula: see text]CDM by [Formula: see text] and obtains [Formula: see text] consistent with Riess et al. [Astrophys. J. 826, 56 (2016)]. Comments on possible experimental tests by the LISA Pathfinder are included.

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