  A new and powerful mean field scheme is presented. It maps to a
one-dimensional finite closed chain in an external field. The chain size
accounts for lattice topologies. Moreover lattice connectivity is rescaled
according to the GM law recently obtained in percolation theory. The associated
self-consistent mean-field equation of state yields critical temperatures which
are within a few percent of exact estimates. Results are obtained for a large
variety of lattices and dimensions. The Ising lower critical dimension for the
onset of phase transitions is $d_l=1+\frac{2}{q}$. For the Ising hypercube it
becomes the Golden number $d_l=\frac{1+\sqrt 5}{2}$. The scheme recovers the
exact result of no long range order for non-zero temperature Ising triangular
antiferromagnets.
