The DMQE arises when two or more oscillating subsystems are coupled to each other by interactions having a specific phase-dependent character - so-called argumentum interactions. Argumental coupling gives rise to a new type of oscillating system, whose properties cannot be reduced to those of the interacting components in any simple way. Ensembles of argumentally interacting macroscopic oscillators typically possess a discrete set of stable quasi-stationary modes and other characteristics strikingly similar to microscopic quantum physical objects. The theory and experimental demonstration of the DMQE is developed in detail in the scientific literature [1-7], and is summarized in the articles [8-12].
The basically demonstration of the DMQE was the Doubochinski’s “argumentum pendulum” (see Doubochinski’s pendulum).
The maintenance of quantized amplitudes in the argumentum pendulum is connected with a mechanism of exchange of energy, which differs fundamentally from the familiar classical case of “forced oscillations” of an oscillator under the action of a periodic external force. In the classical case, an efficient exchange of energy between the oscillator and the external signal occurs only when the frequency of the external force is close to the proper frequency of the oscillator. This is the classical reference-point for the phenomenon of resonance. In the case of the argumentum pendulum, in contrast, stable oscillations are maintained by an efficient coupling between subsystems whose frequencies can differ by two or more orders of magnitude. The pendulum oscillates in a stable mode at frequencies close to its own proper (undisturbed) frequency.
The ability of argumentum interactions to efficiently convert oscillatory energy over such a large gap of frequencies is inseparably connected with the role of fluctuations and self-regulating behaviour. In the classical (Newtonian) mode of interaction, a system being acted upon by an external force is virtually the "slave" of that force; the Newtonian concept of force leaves no room for a true mutual interaction and mutual adaptation of the interacting systems to each other. The argumentum pendulum, by contrast, remains "its own master": By shifting the phase of entry into the interaction zone, it can self-regulate its exchange of energy with the electromagnet.
D.B. Doubochinski; Ya.B. Doubochinski (1991). "Amorcage argumentaire d’oscillations entretenues avec une serie discrete d’amplitudes stable". EDF Bulletin de la direction des etudes et recherches, serie C, Mathematiques, Informatique: 11–20.
D.B. Doubochinski; Ya.B. Doubochinski (1982). "Wave excitation of an oscillator having a discrete series of stable amplitudes". Dokl. Akad. Nauk SSSR [Sov. Phys. Doklady]. 3 [27]: 605 [564].
V.N. Damgov; D.B. Duboshinskii; Ia.B. Duboshinskii (1986). The excitation of undamped oscillations with a discrete series of stable amplitudes. SAO/NASA ADS. Bibcode1986BlDok..39...47D.
D.B. Doubochinski; Ya.B. Duboshinsky et al (1979). "Discrete modes of a system subject to an inhomogeneous high-frequency force". Zh. Tech. Fiz [Sov. Phys.-Tech. Phys]. 49 [24]: 1160 [642].
D. Doubochinski; J. Tennenbaum (2007). "The Macroscopic Quantum Effect in Nonlinear Oscillating Systems: a Possible Bridge between Classical and Quantum Physics". Cornell University Library "ARXIV". arXiv:0711.4892.
D. Doubochinski; J. Tennenbaum (2008). "On the Fundamental Properties of Coupled Oscillating Systems". Cornell University Library "ARXIV". arXiv:0712.2575.
D. Doubochinski; J. Tennenbaum (2008). "On the General Nature of Physical Objects and their Interactions, as Suggested by the Properties of Argumentally-Coupled Oscillating Systems". Cornell University Library "ARXIV". arXiv:0808.1205.