  An ultralocal form of any classical field theory eliminates all spatial
derivatives in its action functional, e.g., in its Hamiltonian functional
density. It has been applied to covariant scalar field theories and even to
Einstein's general relativity, by Pilati, as an initial term in a perturbation
series that aimed to restore all omitted derivatives. Previously, the author
has quantized ultralocal scalar fields by affine quantization to show that
these non-renormalizanle theories can be correctly quantized by affine
quantization; the story of such scalar models is discussed in this paper. The
present paper will also show that ultralocal gravity can be successfully
quantized by affine quantization.
  The purpose of this study is that a successful affine quantization of any
ultralocal field problem implies that, with properly restored derivatives, the
classical theory can, in principle, be guaranteed a successful result using
either a canonical quantization or an affine quantization. In particular,
Einstein's gravity requires an affine quantization, and it will be successful.
