  Recent experimental results: (i) the measurement of the $T \ln T$ specific
heat in cuprates and the earlier such results in some heavy fermion compounds,
(ii) the measurement of the single-particle scattering rates, (iii) the density
fluctuation spectrum in cuprates and (iv) the long standing results on the
linear temperature dependence of the resistivity, show that a theory of the
quantum-criticality in these compounds based on the solution of the dissipative
2D - XY model gives the temperature and frequency dependence of each of them,
and the magnitudes of all four with one dimensionless coupling parameter. These
low frequency or temperature dependences persist to an upper cut-off which is
measured to be about the same from the singularity in the specific heat or the
saturation of the single-particle self-energy. The same two parameters are
deduced in the analysis of results of photoemission experiments to give d-wave
superconductivity and its transition temperature. The coupling parameter and
the cut-off had been estimated in the microscopic theory to within a factor of
2. The simplicity of the results depends on the discovery that orthogonal
topological excitations in space and in time determine the fluctuations near
criticality such that the space and time metrics are free of each other. The
interacting fermions then form a marginal Fermi-liquid.
