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The Exponent Is the Price: Quantum Tunneling and the Architecture of Wireless Electric Grids

The phrase "wireless power transfer by quantum tunneling" is, read literally, a category error. Single-particle electron tunneling through a vacuum or dielectric barrier is suppressed as $e^{-2\kappa d}$ with $\kappa =\sqrt{2m^{\ast }\mathrm{\Phi }}\mathrm{/}\mathrm{\hslash }\approx 10{\mathrm{n}\mathrm{m}}^{-1}$ for a metal–vacuum–metal junction. Deliv…