  Shortly after the discovery of high-temperature superconducting cuprates,
Anderson proposed that Mott physics is instrumental in understanding their
phase diagrams. Specifically, he suggested that, similar to the
'almost-localized' Fermi liquid in 3He, the effective mass renormalization in
the cuprates is characteristic of a doped Mott insulator, scaling inversely
with doping p away from half-filling. However, Mott physics has struggled to
account for the 'strange metal' behavior, characterized by a
linear-in-temperature (T) 'Planckian' resistivity that extends to very high
temperatures, casting doubt on the relevance of Mott physics in the cuprates.
Here, we report a comprehensive survey of calorimetry and resistivity data
spanning broad doping and temperature ranges. We find that the entropy at high
temperatures closely adheres to that of an almost-localized Fermi liquid,
implying that Mott physics remains relevant at high energies. We find that the
strong doping dependence of the coefficient of the T-linear resistivity at high
temperatures also scales inversely with p, suggesting a true universality of
the Planckian relaxation rate across the entire phase diagram. Thus, the
physics of the cuprates over their entire phase diagram is determined by the
joint action of Mott physics and Planckian relaxation physics, with each
operating at very different energy scales.
