By this model, hydrogen nuclei at the core of the sun fuse together to form a helium nucleus. The mass of the helium nucleus is less than the mass of the four hydrogen nuclei required to make helium. Therefore, the missing mass is converted to energy. There are three methods by which energy is transported from one place to another. One of these methods is conduction.
Conduction is restricted to solids.
An example of conduction would be to place an iron skillet onto a stove. Although the bottom of the skillet is in contact with the heating element, the handle of the skillet will eventually get hot. Conduction does not take place in the sun. A second form of energy transport is radiation. It should be apparent that this is the method by which energy goes from the surface of the sun, through the vacuum of space, to Earth.