In 2019, an experiment was carried out in which a thermal oscillation was achieved without any external work being done. The device was composed of a Peltier element and an electric inductance switched in series. It was shown that the time derivative of the heat current is proportional to the negative temperature difference across the device, in analogy to an electric inductor where the time derivative of the electric current is proportional to the negative voltage difference. The resulting "thermal self-inductance" allowing for this oscillatory behavior, with the considered objects always being in thermal quasi-equilibrium, was then expressed as a function of electric inductance, Seebeck coefficient of the used thermoelectric material and the operating temperature, and a differential equation was given for the oscillating thermal "LCR" current in the supplementary information section of the publication. Although the reported thermal oscillation was highly damped and the resulting temperature oscillation around the thermal bath temperature was comparably small, the experiment seems to be a valid proof of concept for a working thermal inductance.