Deviation from the prediction of standard quantum theory for radiative energy transfer in faraway region
I encountered in FB a highly interesting finding discussed in two popular articles (see this and this). The original article (see this) is behind paywall but one can find the crucial figure 5 online (see this) . It seems that experimental physics is in the middle of revolution of century and theoretical physicists straying in superstring landscape do not have a slightest idea about what is happening.
The size scale of objects studied - membranes in temperature of order room temperature T=300 K for instance - is about 1/2 micrometers: cell length scale range is in question. They produce radiation and other similar object is heated if there is temperature difference between the objects. The heat flow is proportional to the temperature difference and radiative conductance called Grad characterizes the situation. Planck's black body radiation law, which initiated the development of quantum theory for more than century ago, predicts Grad at large enough distances.
My guess is that this unavoidably means beginning of the second quantum revolution brought by the hierarchy of Planck constants. These experimental findings cannot be put under the rug anymore.
See the chapter Quantum criticality and dark matter or the article Is the hierarchy of Planck constants behind the reported variation of Newton's constant?.