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We review recent theoretical progress and observational constraints on multifractional spacetimes, geometries that change with the probed scale. On the theoretical side, the basic structure of the Standard Model and of the gravitational action is discussed. On the experimental side, we recall the bounds on the scales of the geometry coming from particle physics, astrophysics and the cosmic microwave background.
High Energy Physics - Theory, phenomenology beyond the standard model, Quantum gravity, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), Research exposition (monographs, survey articles) pertaining to relativity and gravitational theory, Relativistic gravitational theories other than Einstein's, including asymmetric field theories, alternative gravity theories, General Relativity and Quantum Cosmology, Multifractional spacetimes, Alternative gravity theories, Phenomenology beyond the Standard Model., Fractal geometry, High Energy Physics - Theory (hep-th), multifractional spacetimes, quantum gravity, Unified quantum theories, spacetime symmetries, Spacetime symmetries, fractal geometry, Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices, Gravitational interaction in quantum theory, Relativistic cosmology
High Energy Physics - Theory, phenomenology beyond the standard model, Quantum gravity, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), Research exposition (monographs, survey articles) pertaining to relativity and gravitational theory, Relativistic gravitational theories other than Einstein's, including asymmetric field theories, alternative gravity theories, General Relativity and Quantum Cosmology, Multifractional spacetimes, Alternative gravity theories, Phenomenology beyond the Standard Model., Fractal geometry, High Energy Physics - Theory (hep-th), multifractional spacetimes, quantum gravity, Unified quantum theories, spacetime symmetries, Spacetime symmetries, fractal geometry, Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices, Gravitational interaction in quantum theory, Relativistic cosmology
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