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Measuring it and matching the speed predicted from the measured interactions would be a sharp test.","posed_since":"","precise":"In quantum spin ice the photon speed $c$ is set by the ring-exchange scale $g=12J_{\\mathrm{pm}}^{3}/J_{\\mathrm{zz}}^{2}$ ($c \\sim g$ $a$$/\\hbar$ up to a computed prefactor, a the lattice spacing), and the photon heat capacity per volume is $C/V = (4 \\pi^{2}/15) k_{\\mathrm{B}} (k_{\\mathrm{B}} T/\\hbar c)^{3}$ for two polarizations. Measure $C/T^{3}$ below the photon bandwidth in a candidate material and compare $c$ with the value from independently fitted exchange parameters. An answer is $c$ measured and predicted, with agreement or disagreement within errors.","problem_ref":"9dfbcd8664ca32ee13a40a590654b4819b04ddae1ca26862f1866d4c5dc1bba9","references":"","settled_by":"Heat capacity below about 0.05 K with nuclear and phonon contributions subtracted, compared with the photon speed from neutron spectra and quantum Monte Carlo.","status_note":"","title":"Measure the emergent-photon $T^3$ heat capacity and speed in quantum spin 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