  A microscopic scaling relation linking the normal and superconducting states
of the cuprates in the presence of a pseudogap is presented using
angle-resolved photoemission spectroscopy. This scaling relation, complementary
to the bulk universal scaling relation embodied by Homes' law, explicitly
connects the momentum-dependent amplitude of the d-wave superconducting order
parameter at T\sim0 to quasiparticle scattering mechanisms operative at
T\gtrsimTc. The form of the scaling is proposed to be a consequence of the
marginal Fermi-liquid phenomenology and the inherently strong dissipation of
the normal pseudogap state of the cuprates.
