Electroconvergence: From Relational Ontology to a Physics of Phase — Part II: The Mach–Maxwell Paradigm and the Emergence of Physical Constructs
Abstract
This article constitutes Part II (Chapters 8–14) of the monograph Electroconvergence: A Physics of Phase, representing the current stage of a broader research programme. Building upon the radical relational ontology established in Part I (published separately), this part develops the physical formalism of the electroconvergent framework.
We introduce the anchored phasic field φ_C(x,T), defined over the relational simultaneity of space (S), organizational rhythm (T), and the physical body (C). The field is derived as the continuum limit of the Kess matrix, and its dynamics are governed by the organizational Hamiltonian and Laplacian, leading to a master equation that describes the irreversible relaxation of organizational tension.
From this phasic dynamics, physical constructs emerge not as intrinsic properties, but as relational manifestations. Mass is derived as the phase rigidity of stationary waves, charge emerges from the envelope reflection of progressive waves, and force is unified through the Mach–Maxwell decomposition. Furthermore, the generalized Kuramoto model explores how phase synchronization governs the stability of these physical constructs.
Within this research programme, the established paradigms of classical mechanics, general relativity, and quantum field theory are identified as specific limit cases (when the phase distinction δ → 0). A comparative dictionary mapping fundamental forces, conservation laws, and constants to their phasic equivalents is provided to guide future empirical investigations.
The framework enforces a strict scale separation, distinguishing the universal cosmological regime (natural vacuum) from localized stellar and planetary regimes (reactive vacuum S0). This formal structure provides the necessary theoretical foundation for the experimental validation and observational data analysis to be presented in Part III.
Keywords: Physics of phase, relational ontology, Mach–Maxwell unification, emergent mass, Kuramoto model, research programme.
Acknowledgments: The author acknowledges the technical and editorial assistance of large language models in drafting \LaTeX\ code, structuring chapters, and checking notation consistency. The conceptual framework, axiomatic choices, and physical derivations remain entirely the work of the author.
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BibTeX
@misc{crivoi2026electroconvergence,
title = {{Electroconvergence: From Relational Ontology to a Physics of Phase — Part II: The Mach–Maxwell Paradigm and the Emergence of Physical Constructs}},
author = {Dumitru Crivoi},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23560517},
url = {https://zenodo.org/records/23560517},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Electroconvergence: From Relational Ontology to a Physics of Phase — Part II: The Mach–Maxwell Paradigm and the Emergence of Physical Constructs
AU - Dumitru Crivoi
PY - 2026
DA - 2026/10/22
PB - Zenodo
DO - 10.5281/zenodo.23560517
UR - https://zenodo.org/records/23560517
AB - This article constitutes Part II (Chapters 8–14) of the monograph Electroconvergence: A Physics of Phase, representing the current stage of a broader research programme. Building upon the radical relational ontology established in Part I (published separately), this part develops the physical formalism of the electroconvergent framework. We introduce the anchored phasic field φ_C(x,T), defined over the relational simultaneity of space (S), organizational rhythm (T), and the physical body (C). The field is derived as the continuum limit of the Kess matrix, and its dynamics are governed by the organizational Hamiltonian and Laplacian, leading to a master equation that describes the irreversible relaxation of organizational tension. From this phasic dynamics, physical constructs emerge not as intrinsic properties, but as relational manifestations. Mass is derived as the phase rigidity of stationary waves, charge emerges from the envelope reflection of progressive waves, and force is unified through the Mach–Maxwell decomposition. Furthermore, the generalized Kuramoto model explores how phase synchronization governs the stability of these physical constructs. Within this research programme, the established paradigms of classical mechanics, general relativity, and quantum field theory are identified as specific limit cases (when the phase distinction δ → 0). A comparative dictionary mapping fundamental forces, conservation laws, and constants to their phasic equivalents is provided to guide future empirical investigations. The framework enforces a strict scale separation, distinguishing the universal cosmological regime (natural vacuum) from localized stellar and planetary regimes (reactive vacuum S0). This formal structure provides the necessary theoretical foundation for the experimental validation and observational data analysis to be presented in Part III. Keywords: Physics of phase, relational ontology, Mach–Maxwell unification, emergent mass, Kuramoto model, research programme. Acknowledgments: The author acknowledges the technical and editorial assistance of large language models in drafting \LaTeX\ code, structuring chapters, and checking notation consistency. The conceptual framework, axiomatic choices, and physical derivations remain entirely the work of the author.
ER -