Can eggs boil indefinitely? At breakfast someone asked if the eggs were boiling. While obviously they meant the water for the eggs, but it lead to a discussion regarding if you can make an egg boil without it coagulating or even if you can heat a coagulated egg to the point that it starts boiling under special circumstances such as in an oxygen free environment to prevent combustion.

So would it be possible to make an egg boil without coagulation or otherwise destroying it? The shell would break either way so we can remove that for the experiment.
Boiling means dynamic evaporation of liquid. 

Infinite boiling would mean to have infinite amount of that liquid and therefore the egg would have infinite mass. 

Such an egg would collapse into a black hole and we would not be able to continue in our observation.

In reality, in inert atmosphere, with overlapping stages:


protein coagulation
water boiling
organic matter thermal dehydration
general organic matter decomposion.
carbon stage


If we kept temperature just above $\pu{100 ^\circ C}$ to keep boiling,  stage 3-4 would be very slow and we would not reach carbon.