I have been studying the harmonic oscillator in quantum mechanics.
I fully understand the origin of the zero-point energy and how it can be mathematically shown using the uncertainty principle that the harmonic oscillator cannot have $0$ energy.
However, on a classical scale, in our daily lives, we can see/imagine zero energy, for example, a ball at rest on the ground.
My question is, how does a quantum system's inability to occupy $0$ energy and our classical 'intuition' of zero-energy relate?
I hope my question is clear.