LAUSR

We present a theory of weak gravity parametrized by a fundamental frequency ω0 = 1 − qH of the cosmological horizon, where H and q denote the Hubble and, respectively, deceleration parameter. It predicts (i) a C0 onset to weak gravity across accelerations α = adS in galaxy rotation curves, where adS = cH denotes the de Sitter acceleration with velocity of light c, and (ii) fast evolution Q(z) = dq(z)/dz of the deceleration parameter by Λ = ω02 satisfying Q0 > 2.5, Q0 = Q(0), distinct from Q0 ≲ 1 in ΛCDM. The first is identified in the high resolution data of Lelli et al. (2017), the second in the heterogeneous data on H(z) over 0 < z < 2. A model-independent cubic fit in the second rules out ΛCDM by 4.35σ and obtains H0 = 74.0 ± 2.2km s−1Mpc−1 consistent with Riess et al. [Astrophys. J. 826, 56 (2016)]. Comments on possible experimental tests by the LISA Pathfinder are included.