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A microscopic scaling relation linking the normal and superconducting statesof the cuprates in the presence of a pseudogap is presented usingangle-resolved photoemission spectroscopy. This scaling relation, complementaryto the bulk universal scaling relation embodied by Homes' law, explicitlyconnects the momentum-dependent amplitude of the d-wave superconducting orderparameter at T\sim0 to quasiparticle scattering mechanisms operative atT\gtrsimTc. The form of the scaling is proposed to be a consequence of themarginal Fermi-liquid phenomenology and the inherently strong dissipation ofthe normal pseudogap state of the cuprates.

Universal scaling of length, time, and energy for cuprate superconductors based on photoemission measurements of Bi2Sr2CaCu2O8+{\delta}