ZPE
Zero-point energy (ZPE) refers to the lowest possible energy that a quantum mechanical system may possess. Even at absolute zero temperature, where classical physics would predict zero energy, quantum systems still retain a residual energy due to the Heisenberg uncertainty principle. This principle states that it is impossible to know both the exact position and momentum of a particle simultaneously. If a particle were at rest with zero momentum, its position would be perfectly known, violating the uncertainty principle. Therefore, even in its ground state, a quantum system must have some uncertainty in its momentum and position, leading to a non-zero minimum energy.
The concept of ZPE arises in various areas of physics. For instance, in quantum field theory, the
While ZPE is a fundamental aspect of quantum mechanics, its potential application as a source of usable