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Dynamical Rearrangement in the Two measures Theory and its consequences for Cosmology and Particle Physics

Eduardo Guendelman
Physics Department
Ben Gurion University of the Negev
Beer Sheva, Israel

Abstract

The implications of allowing a measure of integration in the action which is independent of the metric are studied in the context of generally coordinate invariant theories. All possible terms in the action have the possibility to couple to the new measure or to the standard measure containg the square root of the determinant of the metric. Then, when the theory is formulated in the conformal Einstein frame, interactions rearrange themselves and one obtains naturally that:

  1. The vacuum energy density is zero without fine tuning.
  2. In a scale invariant model, ssb of scale symmetry is obtained and then a state with suppressed energy density can be obtained in addition to the zero vacuum energy density state.
  3. A mechanism of fermion triplication, i.e. a new approach to fermion families is suggested.
  4. Appearence of new exotic fermion states at extremely low fermion densities are obtained.
   
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