Fitting of hadron spectrum in 5-dimensional conformal relativity

There is no well known kinematic theory of masses which can be used to compute masses of observed particles. The theory of mass of Conformal Relativity in 5-dimensions does promise to fulfill this need. Here we apply its theoretical results to hadrons and successfully fit their masses with a universal length l (the size of the 5th dimension) of 1.36 Fermi. Our fitting scheme shows a trend from which we can predict the observed masses. We conjecture about reasons our fitting distinguishes between hadrons in terms of their quark composition. The value of l suggests physical interpretations and possible means of detection. (author)