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From astronomical observations, we know that dark matter exists, makes up 23% of the mass budget of the Universe, clusters strongly to form the load-bearing frame of structure for galaxy formation, and hardly interacts with ordinary matter except gravitationally.
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See the Dark Matter Working Group DUSEL White paper (2010) for a comprehensive list and review of direct-detection experiments, and references to those experiments: http://dmtools.brown.edu/DMWiki/index.php/File:DMWG_DUSEL_White_Paper_April_2010.pdf
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