AdS/CFT correspondence is adopted and fermion masses are modeled as analogues of Weyl curvature states, which occur by hypothesis when closed spin-2 strings sweep out closed world tubes. Admissible curvature states are established by gauge invariance and fundamental mass is attributed to admissible curvature. A consequent spectrum of masses forms an SU(3) symmetry that is invariant under appropriate realizations of the SUGRA GUT interaction. Finally the spin-h/2 nature of the masses that are attributed to curvature emerges as a necessary condition for the relevant SUGRA GUT realizations. Calibration of the proposed model reveals a spectrum of fermion masses that corresponds approximately to observation. Moreover, the proposed model predicts a new quark that is characterized by I3 = -1/2 and by a mass of about 30 GeV/c2.
Cite this paper
J. Towe, "On Approximating Fermion Masses in Terms of Stationary Super-String States," Journal of Modern Physics, Vol. 4 No. 4, 2013, pp. 551-554. doi: 10.4236/jmp.2013.44076.
 H. Weyl, “Space, Time and Matter,” Metheun and Co. Ltd., London, 1922.
 F. London, “Quantenmechanische Deutung der Theorie von Weyl,” Zeitschrift fur Physik, Vol. 42, No. 5-6, 1927, pp. 375-389. doi:10.1007/BF01397316
 J. Towe, “Stationary String States as Theoretical Fermions,” Advanced Studies in Theoretical Physics, Vol. 6, No. 8, 2012, pp. 369-377.
 O. Aharony, S. Gubser, J. Maldacina, H. Ooguri and Y. Oz, “Large N-Theories, String Theory and Gravity,” 1999, in press.
 E. D’Hoker and D. Freedman, “Super-Symmetric Gauge Theories and the AdS/CFT Correspon-Dance,” 2002, in press.
 J. A. Wheeler, “Curved, Empty Space as the Building Material of the Physical World,” In: E. Nagel, Ed., Logic, Methodology and the Philosophy of Science, Stanford University Press, Palo Alto, 1962.
 R. Bock and A. Vasilesca, “Particle Detector Brief Book,” 1999.
 SLAC Virtual Visitor Center, “SLAC National Accelerator Laboratory,” Menlo Park, 2009.