So we might need some sort of active cooling mechanism, considering how a space elevator cable, afaik, has to be anchored near the equator, which is typically h

So we might need some sort of active cooling mechanism, considering how a space elevator cable, afaik, has to be anchored near the equator, which is typically hotter than room temperature? What if the cooling fails? I don't know much about QM or the chemistry of carbynes, but is it possible for some electrons to spontaneously jump over the activation barrier (despite being cooled) and start off some chain reaction that could jeopardize the entire space elevator cable?