A theoretical foundation is presented for a law of action quantization arising from the phase‑frequency self‑organization of interacting monochromatic systems. The stable regimes produced by such interaction form a discrete structure of action, representing a new fundamental physical quantity — the quantum of action of argumental interaction, generated by self‑phasing. Experiments demonstrate that this quantum of action is a dynamic invariant of stable regimes and, in many cases, numerically coincides with Planck’s quantum of action. Thus, Planck’s quantum can be interpreted as a special case of a more general argumental quantization of action. The results introduce into physics a new fundamental definition of the quantum of action and open the way toward argumental mechanics — a new physical paradigm unifying classical and quantum dynamics. The theoretical foundations presented here are supported by a reliable experimental base developed by the author and subsequently reproduced in scientific centers in the USA, China, Russia, Brazil, and other countries.
A theoretical foundation is presented for a law of action quantization arising from the phase‑frequency self‑organization of interacting monochromatic systems. The stable regimes produced by such interaction form a discrete structure of action, representing a new fundamental physical quantity — the quantum of action of argumental interaction, generated by self‑phasing. Experiments demonstrate that this quantum of action is a dynamic invariant of stable regimes and, in many cases, numerically coincides with Planck’s quantum of action. Thus, Planck’s quantum can be interpreted as a special case of a more general argumental quantization of action. The results introduce into physics a new fundamental definition of the quantum of action and open the way toward argumental mechanics — a new physical paradigm unifying classical and quantum dynamics. The theoretical foundations presented here are supported by a reliable experimental base developed by the author and subsequently reproduced in scientific centers in the USA, China, Russia, Brazil, and other countries.
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.
A fundamental tenet in the study of organization in inanimate and living matter is the quantization of energy. In inanimate systems where temperature is a critical organizing parameter, the quantum of action is an atomic-level phenomenon described in terms of Planck’s constant, first defined as the ratio of the photon energy to the frequency of its electromagnetic wave. In living systems, where the cycle time of metabolic processes is the organizing variable, the quantum of action is a cell-level phenomenon described in terms of an analog of Planck’s constant, namely the ratio of the metabolic energy to the frequency of the enzymatic or mitochondrial oscillators. This chapter elucidates the relation between these two measures of quantum action. We review the role of Planck’s constant in physics, first, as a fundamental parameter for explaining the empirical laws of black body radiation, and its more modern developments. We also describe the theoretical and empirical rationale for the cellular-level quanta. We exploit this analysis to elucidate how energy transformation in physical processes, where temperature is the organizing parameter, relates to energy transduction in biological processes, which are essentially isothermal. We then link the cell level to the organismal level of metabolism and obtain a scaling relationship for the biological Planck quantum of action as a function of the size of the biological system studied. Finally, we discuss these ideas in light of quantum-like processes in biological organisms and systems: identifying generalized quantum principles that apply not just at microscopic levels but also at macroscopic levels, relevant to biology, where we used to consider classical physics alone to be relevant. This chapter provides a direct analogy between quantization of energy in solids first demonstrated by Debye and biochemical energy production in cellular mitochondria. The Planck constant proved to be a fundamental constant of matter as it appeared both in the Schoedinger equation and the Heisenberg uncertainty principle. Recently, quantum biology has garnered major scientific interest, but so far it has only focused on physical quantum effects in biological systems, such as photosynthesis, not truly biological quantization. We point to metabolism, as an indispensable process that underlies all life forms’ existence, and show that its quantization can be better understood in terms of a corresponding quantum of action. We estimate its value, compare it to Planck’s quantum of action in physics and explain their different scales. We hypothesize that energy quantization of metabolism in biological systems is an important conceptual advance that can provide insights into both healthy and pathological physiology.
The quantization of action, discrete energy levels, and finite phase-space resolution are among the most fundamental yet conceptually opaque features of quantum physics. In standard theory, the universal constant is introduced empirically, and canonical quantization rules are postulated without deeper ontological justification. In this work we present a first-principles derivation of quantization based on the Structural Unified Field (SUF) framework. By treating physical entities as layered “existence objects” characterized by a boundary parameter and an existence function , we argue that structural identity requires a minimal nonzero layer separation . This structural irreducibility implies a universal minimal distinguishability in all attribute domains, which, when projected into phase space, yields a minimal phase-space cell and thus a universal minimal action unit. Upon mapping to physical units, this structural minimal action corresponds to Planck’s constant . The SUF interpretation thereby promotes quantization from an empirical postulate to a necessary consequence of the ontological geometry of existence. The resulting framework naturally accounts for discrete spectra, uncertainty relations, action quantization, canonical commutation relations, topological quantization phenomena, and the universality of . We discuss broader implications for the foundations of quantum theory, the quantum–gravity interface, and potential avenues for testing structural deviations.
This paper presents a Coherence Geometry interpretation of Planck’s constant as a natural action scale arising from phase closure in structured coherence fields. Planck’s constant is traditionally introduced as an empirical constant. In this paper, a natural coherence action scale S0 arises from the requirement that stable μ-field structures close phase cycles in integral multiples of 2π. This quantizes action increments as S=2πnS0. The standard quantum relations follow once S0 is calibrated to laboratory data, yielding S0=ℏ. The result is structural rather than numerological: the paper does not claim to derive the measured numerical value of h without calibration. Instead, it argues that an action scale of the Planck type appears naturally from phase-constrained coherence geometry, with numerical value fixed by physical units and experimental comparison. Internal reference: CGI-RSR-000020.
We introduce physical phase invariance as a minimal, observer-independent principle capable of unifying quantum theory and relativity. By identifying the physical phase with the classical action measured in units of Planck’s constant, the framework assigns phase a direct operational meaning. Spacetime structure, Lorentz invariance, and quantum probabilistic behavior emerge as effective descriptions of underlying phase dynamics rather than fundamental postulates. Time is defined relationally through phase evolution, and classical motion arises from stationary phase conditions. A simple dynamical equation for the phase field is proposed, while quantum probabilities are shown to result from statistical coarse-graining over unresolved phase degrees of freedom. This approach provides a coherent conceptual foundation linking quantum mechanics, special relativity, and gravitation.
Planck’s constant h has long been introduced axiomatically in quantum mechanics, with its numerical value fixed empirically. Yet its structural necessity and intrinsic relation to the topology of phase space remain unresolved. In this work we develop a phase-ontological framework — the Omega-model — in which monodromy provides the fundamental mechanism of quantization. The structural chain is established as: Topology → Monodromy → Quantization Rules → h as universal coherence threshold.Within this perspective, h is not derived as a numerical constant but identified as a universal unit of minimal coherent action that calibrates the model’s internal parameters. This formulation yields a unified topological explanation for (i) the inevitability of quantized action and (ii) the dichotomy of bosonic versus fermionic statistics, interpreted as trivial and nontrivial monodromy, respectively. Consistency of the coherence criterion with foundational quantum experiments and even recent high-energy anomalies demonstrates that the Omega-model offers a coherent bridge between topology, phase coherence, and the structural foundations of quantum theory.