Explain in simplest terms the relation between the zero-point energy and the uncertainty principle.
a) The zero-point energy is the minimum energy a system can have due to the uncertainty principle, which states that certain pairs of physical properties, like position and momentum, cannot both be precisely known at the same time. Even at absolute zero temperature, particles must have some minimum energy because their exact position and momentum cannot be simultaneously determined.
b) The zero-point energy is the maximum energy a system can possess due to the uncertainty principle, which dictates that the energy and time of a particle cannot both be precisely determined. Thus, particles must have a maximum energy, even at absolute zero temperature.
c) The zero-point energy is unrelated to the uncertainty principle, as it is a fundamental property of quantum systems.
d) The zero-point energy violates the uncertainty principle, as it allows particles to have precise values of both energy and momentum simultaneously.