We propose a new higher-dimensional mechanism for solving the hierarchy pro
blem. The weak scale is generated from the Planck scale through an exponent
ial hierarchy. However, this exponential arises not from gauge interactions
but from the background metric (which is a slice of AdS(5) spacetime). We
demonstrate a simple explicit example of this mechanism with two 3-branes,
one of which contains the standard modal fields. The phenomenology of these
models is new and dramatic. None of the current constraints on theories wi
th very large extra dimensions apply.