Quantum Vacuum Mechanics & Thermodynamic Conservation
1. Ground State Fluctuations ($E_0 = \frac{1}{2}\hbar\omega$)
In quantum field theory, the electromagnetic vacuum is not empty space. Every mode of the radiation field behaves as a harmonic oscillator with a non-zero zero-point energy (ZPE) ground state equal to $\frac{1}{2}\hbar\omega$.
2. Casimir Cavity Exclusion
Placing conductive plates separated by distance $d$ imposes boundary conditions. Wavelengths larger than $2d$ are excluded between plates. The higher radiation pressure outside pushes the plates together.
3. Why ZPE Cannot Yield Net Work
Because zero-point energy corresponds to the lowest possible quantum ground state ($S = 0$, $T = 0 \text{ K}$ limit), no thermodynamic gradient exists. Any cycle attempting to extract net work from ZPE returns the system to the same state or higher entropy, making continuous extraction impossible ($\Delta S_{total} \ge 0$).