UNIVERSAL PHASE LOCK ALGORITHM From time crystals to nuclear resonances

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Authors: Hennadii Kovalov
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Abstract

It is shown that the system achieves a phase difference of Δφ < 10⁻¹⁰ rads during about 50 periods, which is five orders of magnitude better than required for the proton-proton cycle. The algorithm is universal and can be applied to any oscillating systems, from time crystals to nuclear resonators.

Fields of Study & Subjects

Advancements in PLL and VCO Technologies Advanced Frequency and Time Standards Nonlinear Dynamics and Pattern Formation

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
16 March 2026
Language
EN