Gauge Hierarchy from AdS 5 Universe with 3

If the universe is ( or a slice of ) AdS5 space with 3-branes, the 5-dimensional GUT scale in each brane can be indetified as the 5-dimensional Planck scale, but, the 4-dimensional Planck scale is generated from the low 4-dimensional GUT scale exponentially in our world. The 4-dimensional GUT scales and Planck scale are related to the 5-dimensional GUT scales and Planck scale by exponential factors. One of such scenarios was suggested by Randall and Sundrum recently. We give another scenario that the 4-dimensional Planck scale is generated from the low five-dimensional Planck scale by an exponential hierarchy, and the mass scale in the Standard Model is not rescaled from the 5-dimension metric to the 4-dimension metric. We also argue that the additional constant in the solution might exist, which will rescale the 5-dimensional Planck scale and affect the physical picture. Finally, we embed those compactifications to the general compactification on AdS5 space and discuss the origin of additional constant.