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Journal of Dynamical Systems and Geometric Theories cover
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Open Access Original Articles

Algebraic Geometry of the Quark

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pp. 77–85Vol. 3Issue 1January 2005DOI: 10.1080/1726037X.2005.10698490XML
Received:
25 May 2004
Published Online:
03 Jun 2013
Article type:
Original Articles
Language:
EN
Article no.:
1726037X.2005.10698490
Pages:
77–85

Abstract

Using only the algebraic geometry defined by an irreducible representation of the Dirac ring we find an invariant tetrahedron that specifies the quadrupole shape occupied by nucleons with overwhelming probability, A simpler case is given by the cones occupied by spinning electrons. The Cayley cubic, which is invariant under the tetrahedral group, appears in Figure 2 and has 3 tangent cones representing quarks held together by an amorphous gluon condensate. This cubic is characterized by 9 lines emanating from the quarks and coincident with the edges of the tetrahedron. These quarks are short-lived because the representation is not time-invariant.

Keywords

References

  1. Ajzenberg-Selove, F.1968 . Energy levels of light nuclei . , A114 : 1 – 142 . Nucl. Phys., A268 (1974), 1–204. Nucl. Phys., A320 (1979) 1–224
  2. Atkins, P. and de Paula, J.2002 . , 7th , Oxford: Oxford Univ. Press .
  3. Barth, W. and Nieto, I.1994 . Abelian surfaces of type (1,3) and quartic surfaces with 16 skew lines . , 3 : 173 – 222 .
  4. de Wet, J.A.1971 . A group theoretical approach to the many nucleon problem . , 70 : 485 – 496 .
  5. de Wet, J.A.1972 . The many electron problem . , 72 : 123 – 134 .
  6. de Wet, J.A.2002 . Nuclear algebraic surfaces and SO(10) . , 1 : 82 – 94 .
  7. de Wet, J.A.2004 . Nuclear deuteron structure and nucleon entanglement . , 5 : 49 – 60 .
  8. Dirac, P.AM.1949 . , 21 : 284
  9. Eddington, A.S.1953 . , Cambridge: Cambridge Univ. Press .
  10. Green, M.B., Schwarz, J.H. and Witten, E.1993 . , Cambridge Univ. Press .
  11. Heyde, K.1992 . , Edited by: Vergenes, M.London: Plenum .
  12. Hudson, R.W.H.T.1990 . , Cambridge: Cambridge Univ. Press . Reissued by
  13. Hunt, B.1996 . , Lecture Notes in Mathematics Vol. 1637 , Berlin, Heidelberg: Springer-Verlag .
  14. Xiangdong, Ji. 2002 . Gluon condensate from lattice QCD, , (1995), Ph.Boucard, J.P.Leroy et.al. Instantons and condensate . , 66 : 034504
  15. Kim, Y.S. and Noz, M.E.1986 . , Dordrecht: Reidel .
  16. Morris R. (2001).
  17. Slansky, R.1981 . Group theory for unified model building . , 79 : 1 Reprinted in (1982)
  18. Wigner, E.P.1939 . On unitary representations of the inhomogenous Lorentz group . , 40 : 149 – 204 .
  19. Wigner, E.P.1937 . , 51 : 106
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