  We present technical results which extend previous work and show that the
cosmological constant of general relativity is an artefact of the reduction to
4D of 5D Kaluza-Klein theory (or 10D superstrings and 11D supergravity). We
argue that the distinction between matter and vacuum is artificial in the
context of ND field theory. The concept of a cosmological ``constant'' (which
measures the energy density of the vacuum in 4D) should be replaced by that of
a series of variable fields whose sum is determined by a solution of ND field
equations in a well-defined manner.
