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Doubochinski's Argumental Multiple Macroquantum Resonance in Classical Oscillatory Systems

Danil Doubochinski

Published Jun 13, 2026• 0 citations
Publisher

Abstract

This work presents a comprehensive theoretical and experimental analysis of argumental macroquantum resonance in classical oscillatory systems. The study demonstrates that classical oscillators interacting with a monochromatic external field can form discrete, quantized‑like stable states through phase‑frequency argumental coupling. These states remain robust under wide variations of system parameters and external disturbances. Over more than five decades, the phenomenon has been experimentally confirmed in mechanical, electrical, rotor‑based, acoustic, and multi‑oscillator systems across multiple countries. The results establish a universal mechanism of coherent energy exchange and macroscopic quantization in classical physics.

DOI
10.5281/zenodo.20681487

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This work presents a comprehensive theoretical and experimental analysis of argumental macroquantum resonance in classical oscillatory systems. The study demonstrates that classical oscillators interacting with a monochromatic external field can form discrete, quantized‑like stable states through phase‑frequency argumental coupling. These states remain robust under wide variations of system parameters and external disturbances. Over more than five decades, the phenomenon has been experimentally confirmed in mechanical, electrical, rotor‑based, acoustic, and multi‑oscillator systems across multiple countries. The results establish a universal mechanism of coherent energy exchange and macroscopic quantization in classical physics.
The work reported here originates in the discovery, four decades ago, of a previously unknown type of self-organizing interaction among oscillating systems -- so-called argumental interactions -- and of "quantized" modes of behavior in macroscopic argumentally-coupled oscillators, having no equivalent in the classical theory of oscillations. Recently the present authors have been jointly pursuing new lines of investigation into argumental interactions and their possible significance for the foundations of physics. Among other things, the study of argumentally-coupled oscillators suggested to the authors a new general way of looking at physical objects, their interactions and their aggregative,"social" behavior as manifested on all scales of observation. We believe this new viewpoint, which differs significantly both from that of classical physics and from quantum theory as presently understood, might lead to a more coherent understanding of many natural phenomena which until now have been studied only in a piecemeal fashion. To make the authors' train of thought intelligible to the reader not familiar with the field of argumental interactions, we have combined the presentation of our ideas with an extended review of experimental and theoretical results on argumentally-coupled oscillators and the associated "Macroscopic Quantization Effect". Our review serves the additional purpose of introducing this little-known, but most interesting field of research to a broader scientific audience.
Einstein, De Broglie and others hoped that the schism between classical and quantum physics might one day be overcome by a theory taking into account the essential nonlinearity of elementary physical processes. However, neither their attempts, nor subsequent ones were able to supply a unifying principle that could serve as a starting-point for a coherent understanding of both microphysical and macroscopic phenomena. In the late 1960s the phenomenon of amplitude quantization, or Macroscopic Quantum Effect (MQE), was discovered in a class of nonlinear oscillating systems in which two or more subsystems are coupled to each other by interactions having a specific phase-dependent character -- so-called argumental interactions. Experimental and theoretical studies of the MQE, carried out up to the present time, suggest the possibility of a new conceptual framework for physics, which would provide a bridge between classical and quantum physics, replacing the Newtonian notion of "force" by a new conception of physical interaction. The present paper presents a brief introduction to the MQE and some ideas about its possible significance in the search for new approaches to the understanding of quantum phenomena.
Continuous time crystals represent a novel state in many-body systems that can self-organize into timeperiodic oscillations without external periodic driving. Recent experiments have achieved such systems in dissipative solid-state materials, where persistent temporal order is autonomously sustained. A decisive characteristic of time crystals is their robustness, meaning that despite various disturbances, including fluctuations in internal parameters and external noise, they can still maintain rhythmic behavior, which has scientific value and echnological application potential. Although previous studies have shown that specific experimental parameters have robustness, thare is a lack of a systematic framework for quantifying and predicting their resilience to disturbances, and the underlying physics of this robustnessis still not fully understood. The key unresolved problems include how nonlinear interactions and feedback mechanisms contribute to stability, and what the critical thresholds are for parameter variations beyond which temporal order collapses. This work addresses these gaps by systematically analyzing how internal parameters and external influences affect the oscillation period and overall stability. Internally, the dynamics are determined by dipole-dipole interactions and atomic transition strengths, which define the temporal symmetry breaking that occurs in the system. Externally, the response of the system is controlled by the strength of the optical driving field and the energy dissipation rate. A key finding is the determination of an intrinsic feedback mechanism for a dynamically stabile time crystal. This mechanism plays a role in restoring force, correcting deviations caused by minor disturbances, and maintaining the coherence of oscillatory phase. Moreover, the system displays nonlinear dynamical behavior, characterized by two different states: one is stable oscillation continuing under moderate disturbance, and the other is stronger disturbance causing dynamical phase transition, resulting in switching between disordered or dynamically unstable state and stable state. These results provide a comprehensive understanding of the various behaviors observed in continuous time crystals and lay an important theoretical foundation for utilizing their unique properties in advanced applications such as quantum information processing and precision metrology.
This article proposes a unified conceptual reconstruction of physical phenomena by examining the recurring structural patterns that connect classical and quantum systems across scales. Oscillatory behavior, potential landscapes, and binding principles form a common mathematical template that appears in mechanical oscillators, molecular vibrations, atomic orbitals, and quantized field modes. By reframing quantum phenomena as refinements of classical oscillatory structures rather than conceptual discontinuities, this work highlights the deep continuity that underlies modern physics. The framework also clarifies energy minimization, mass defect, statistical behavior, and vacuum fluctuations as manifestations of shared principles. Implications for pedagogy, theory building, and cross‑disciplinary coherence are discussed.
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Experimental measurements across atomic, molecular, condensed-matter, and quantum systems consistently reveal oscillatory behavior, discrete frequency mode spectra, stable equilibrium geometries, thermodynamic population distributions, and coupling interactions that generate new stable configurations. When two systems interact coherently, experiments show the formation of joint eigenstates with nonfactorizable correlations (entanglement). This paper organizes these experimentally verified behaviors into a single structural sequence within physics and identifies evaluation pathways, open research questions, and opportunities for collaboration.