Is it possible for something to be broken down into smaller pieces forever?

In school and college we were taught in science that when an object is cut into pieces the smallest visible piece is known as a particle.when a particle is cut there is a burst of energy and the pice that is cut is known as an atom.For a long time it was thought that the atom was the smallest piece.but when it was further divided still smaller pieces were discovered but these were unstable. The atom is the last stable piece that is present in the universe. Science has progressed and still smaller types of electrons have been discovered called nano however they are all unstable and are all different forms of energy. Infact we and everything in the created universe are nothing but energy and when the final cut is made there will be nothing but energy.The human body and all the solid objects in creation are nothing but'frozen energy' in gross form.One day or the other billions or trillions of years hence this entire creation will burst with a final bang and everything will go back to its original form and that is pure energy.