Parameters
Kaluza-Klein:
Compact dimension of radius R → KK tower with masses m_n = n/R
Gravity at short range:
G_N(r) ~ G_N^{4D} for r >> R
G_N(r) ~ G_N^{(4+n)D} r^{-n} for r << R
ADD model:
n=2 large extra dims: R ~ 0.1 mm solves hierarchy (Arkani-Hamed, Dimopoulos, Dvali 1998)
Kaluza miracle:
5D gravity = 4D gravity + electromagnetism + scalar (dilaton)!
Compact dimension of radius R → KK tower with masses m_n = n/R
Gravity at short range:
G_N(r) ~ G_N^{4D} for r >> R
G_N(r) ~ G_N^{(4+n)D} r^{-n} for r << R
ADD model:
n=2 large extra dims: R ~ 0.1 mm solves hierarchy (Arkani-Hamed, Dimopoulos, Dvali 1998)
Kaluza miracle:
5D gravity = 4D gravity + electromagnetism + scalar (dilaton)!