Electric power (from the wall and ultimately the power company generators) is used to create the varying magetic field. Thus the energy source is that collected and utilized by the power company to generate the electric power we used. The eddy currents induced by the varying magnetic field are dissipated by the slight electrical resistance of the aluminum dish. These I-squred R electric losses change the current to heat in the aluminum. The aluminum is a good conductor of electricity and heat. The heat generated by the dissipating electic current in the bottom surface of the dish is conducted to the egg. Heat is the random motion of the atoms and electrons.
If a wood stick is used to press down on the aluminum bowl, the bowl is moved to a region of more intense magnetic field so that the eddy currents increase significantly, causing the bowl to heat up dramatically. Thus the egg was cooked and water boiled.
Energy (fossil fuel, nuclear power, hydro-power, solar power) -> electric power -> conducted by power lines to room -> converted into alternating magnetic field by the large noisy levitator -> alternating magnetic field induces eddy currents in aluminum -> electic power (P=IV= I^2R) dissipated by resistance in aluminum -> conducted to egg and water through aluminum and contact .
This is a different process than what happens in a microwave oven.
In a microwave oven has a generator of electromagnetic radiation in the microwave range
(between visible light and radio waves)
the order is: radio waves, microwaves, far-infrared, infrared, visible light, x-rays, gamma-rays
The water molecule absorbs microwaves in the wavelength range of about 20 cm
(frequency of 1.4 x 10^9 Hz) very strongly.
The electromagnetic energy of the microwave radiation is directly absorbed
by the food, e.g. eggs, and dissipated as heat.