HUYGHENS, BOHR, RIEMANN AND GALOIS: PHASE-LOCKING

DOI10.1142/S0217979206034340zbMath1093.81042arXivmath-ph/0510044MaRDI QIDQ5484212

Michel Planat

Publication date: 24 August 2006

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0510044

zbMATH Keywords

cyclotomic fieldphase-lockingprime numbersGalois fields\(1/f\) noisephase statesquantum complementarityincomplete Gauss sums

Mathematics Subject Classification ID

Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Finite fields (field-theoretic aspects) (12E20) Miscellaneous applications of number theory (11Z05)

Related Items (1)

Quantum Fourier transform and tomographic Rényi entropic inequalities

Cites Work

• Cyclotomy and Ramanujan sums in quantum phase locking
• Hecke algebras, type III factors and phase transitions with spontaneous symmetry breaking in number theory
• Discrete phase space based on finite fields
• String physics and black holes

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