The binding forces between atomic and subatomic particles, as well as the repulsive forces between electrons, do not completely rule out the possibility of quantum tunneling of the cup through the table. Quantum tunneling is a phenomenon in quantum mechanics where a particle can pass through a potential barrier even if its energy is lower than the height of the barrier.
In the case of the cup on a table, the binding forces between the atoms of the cup and the atoms of the table create a potential barrier that the cup needs to overcome to move through the table. The repulsive forces between the electrons of the cup and the table further contribute to this barrier.
However, according to quantum mechanics, particles can exhibit wave-like behavior, and their wavefunctions can extend beyond classically forbidden regions. This means that there is a finite probability, albeit usually very small, for a particle to tunnel through the barrier.
In the scenario of the cup on a table, while the probability of the entire cup tunneling through the table would be astronomically low, it is not strictly zero. It is theoretically possible for individual atoms or subatomic particles within the cup to tunnel through the table, but the probability of this occurring is extremely low.
In practical terms, the effects of quantum tunneling for macroscopic objects like a cup on a table are negligible due to the incredibly small probabilities involved. The binding forces and repulsive forces between the cup and the table are typically much stronger than the probability of tunneling. Therefore, for everyday objects, the cup will remain stably on the table due to the dominance of classical physics and the interplay of forces involved.