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We argue that the cosmological constant problem can be solved in a braneworld with infinite-volume extra dimensions, avoiding no-go arguments to theories that are four-dimensional in the infrared. Gravity on brane becomes higher-dimensional at super-Hubble distances, which entails the relation between the acceleration rate and vacuum energy density flips down compared to the conventional one. The acceleration rate decreases increasing the energy density. The experimentally acceptable rate is for the energy density larger than (1 TeV) ⁴. The results are stable quantum corrections because supersymmetry is broken only on the brane and exact in the bulk of infinite volume extra space. Consistency of 4D and cosmology on the brane requires the quantum gravity scale to be 10^-3 eV. Testable predictions emerging within this approach are: (i) simultaneous modifications of gravity at sub-millimeter and the Hubble; (ii) Hagedorn-type saturation in TeV energy collisions due to the Regge with the spacing equal to 10^-3 eV.
Dvali et al. (Fri,) studied this question.
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