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A Search for a Mathematical Expression for Mass Ratios Using a Large Database

Using a database of 610 millions mathematical constants and expressions a search was conducted in order to find a reasonable expression based on simplicity and length for the mass ratios of fundamental particles. The mass ratios are the dimensionless values of the NIST‐CODATA 2002 values. The search was restricted to 8 of the fundamental particles: the electron, proton, neutron, helion, tau, deuteron, alpha and the muon since their mass is known to enough precision.