Do electromagnetic waves exist in a short cable at low frequencies? What does physics say?

Abstract

We refute a physical model, recently proposed by Gunn, Allison and Abbott (GAA) [arXiv:1402.2709v2], to utilize electromagnetic waves for eavesdropping on the Kirchhoff-law-Johnson-noise (KLJN) secure key distribution. Their model, and its theoretical underpinnings, is found to be fundamentally flawed because their assumption of electromagnetic waves violates not only the wave equation but also the Second Law of Thermodynamics, the Principle of Detailed Balance, Boltzmann's Energy Equipartition Theorem, and Planck's formula by implying infinitely strong blackbody radiation. We deduce the correct mathematical model of the GAA scheme, which is based on impedances at the quasi-static limit. Mathematical analysis and simulation results confirm our approach and prove that GAA's experimental interpretation is incorrect too.

version after Galley Proof corrections in Fluctuation and Noise Letters

References in corpus (4)

• Notes on Recent Approaches Concerning the Kirchhoff-Law-Johnson-Noise-based Secure Key Exchange
• On the security of the Kirchhoff-law-Johnson-noise (KLJN) communicator
• Critical analysis of the Bennett-Riedel attack on secure cryptographic key distributions via the Kirchhoff-law-Johnson-noise scheme
• A directional coupler attack against the Kish key distribution system

Cited by in corpus (15)

• On the "cracking" scheme in the paper "A directional coupler attack against the Kish key distribution system" by Gunn, Allison and Abbott
• Elimination of a Second-Law-attack, and all cable-resistance-based attacks, in the Kirchhoff-law-Johnson-noise (KLJN) secure key exchange system
• Random-resistor-random-temperature Kirchhoff-law-Johnson-noise (RRRT-KLJN) key exchange
• Analysis of an attenuator artifact in an experimental attack by Gunn-Allison-Abbott against the Kirchhoff-law-Johnson-noise (KLJN) secure key exchange system
• Resource requirements and speed versus geometry of unconditionally secure physical key exchanges
• Comments on the "Generalized" KLJN Key Exchanger with Arbitrary Resistors: Power, Impedance, Security
• Cable Capacitance Attack against the KLJN Secure Key Exchange
• Deterministic Random Number Generator Attack against the Kirchhoff-Law-Johnson-Noise Secure Key Exchange Protocol
• AC Loop Current Attacks Against The KLJN Secure Key Exchange Scheme
• Generalized DC loop current attack against the KLJN secure key exchange scheme
• Perspective -- On the thermodynamics of perfect unconditional security
• Random Number Generator Attack against the Kirchhoff-Law-Johnson-Noise Secure Key Exchange Protocol
• Waves in a short cable at low frequencies, or just hand-waving?
• Facts, myths and fights about the KLJN classical physical key exchanger
• Nonlinearity Attack against the Kirchhoff-Law-Johnson-Noise (KLJN) Secure Key Exchange Protocol