In covalent bonded molecules, the primary force that holds the atoms together is the electromagnetic interaction, specifically the attraction between the positively charged nuclei and the negatively charged electrons. When two atoms bond, their electron orbitals overlap, creating a shared area of electron density that lowers the energy of the system and reduces Coulomb repulsion between the nuclei. This overlap allows the electrons to interact with both nuclei, facilitating mutual attraction. The discussion emphasizes that while classical descriptions of this interaction can be useful, covalent bonding is fundamentally a quantum mechanical effect, where the uncertainty principle allows electrons to occupy a larger space, reducing their momentum and kinetic energy. The electromagnetic force is crucial in this context, as it enables the attraction between electrons and nuclei, maintaining the integrity of the bond without necessitating the involvement of magnetic forces.