TY - JOUR AU - Lobo, F. S. N. AU - Olmo, G. J. AU - Rubiera-Garcia, D. PY - 2015 DA - 2015// TI - Crystal clear lessons on the microstructure of spacetime and modified gravity T2 - Phys. Rev. D JO - Physical Review D SP - 124001 EP - 7pp VL - 91 IS - 12 PB - Amer Physical Soc AB - We argue that a microscopic structure for spacetime such as that expected in a quantum foam scenario, in which microscopic wormholes and other topological structures should play a relevant role, might lead to an effective metric-affine geometry at larger scales. This idea is supported by the role that microscopic defects play in crystalline structures. With an explicit model, we show that wormhole formation is possible in a metric-affine scenario, where the wormhole and the matter fields play a role analogous to that of defects in crystals. Such wormholes also arise in Born-Infeld gravity, which is favored by an analogy with the estimated mass of a point defect in condensed matter systems. We also point out that in metric-affine geometries, Einstein's equations with an effective cosmological constant appear as an attractor in the vacuum limit for a vast family of theories of gravity. This illustrates how lessons from solid state physics can be useful in unveiling the properties of the microcosmos and defining new avenues for modified theories of gravity. SN - 1550-7998 UR - http://arxiv.org/abs/1412.4499 UR - https://doi.org/10.1103/PhysRevD.91.124001 DO - 10.1103/PhysRevD.91.124001 LA - English N1 - WOS:000355413300005 ID - Lobo_etal2015 ER -