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May 18, 20260 citationsOpen Access

Toward a Mechanism of Charge: A Criterion-Based Approach Using Coherence Geometry

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BPB. Petersen

Key Points

  • This study aims to explore the emergence of charge-like behavior through geometric and numerical mechanisms within Coherence Geometry.
  • Investigated localized curvature, torsion, and topological structure within multi-channel phase fields.
  • Defined five criteria for emergent charge behavior: field sourcing, mobility, polarity, classical field recovery, and topological identity.
  • Conducted numerical simulations to analyze how curvature induces torsional structures.
  • Simulations demonstrated that curvature in the alignment field produces monopole-like and dipole-like patterns.
  • Persistent torsional structures emerged without the need for external particle sources.

Abstract

This paper presents a geometric and numerical mechanism study for charge-like behavior within Coherence Geometry (CG). Rather than assuming electric charge as a primitive particle property, it investigates whether charge-like behavior can arise from localized curvature, torsion, and topological structure within a shared-amplitude, multi-channel phase field. The paper defines alignment and torsional fields constrained by a shared amplitude envelope and evaluates five criteria for emergent charge behavior: field sourcing, mobility, polarity, classical field recovery, and topological identity. Numerical simulations show how curvature in the alignment field can induce persistent torsional structures, producing monopole-like and dipole-like field patterns without external particle sources. This paper is released in its original June 2025 form. It cites an earlier Coherence Geometry primer as the general framework reference. Later materials, especially Coherence Geometry Foundations, Part II: Physical Projections, develop the corresponding algebraic treatment of emergent charge and Maxwell-type field structure. The present paper remains the original geometric and numerical mechanism study for emergent charge. Internal reference: CGI-RSR-000018.

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Cite This Study

B. Petersen (2026) studied this question.

synapsesocial.com/papers/6a0aad2a5ba8ef6d83b70b7dhttps://doi.org/10.5281/zenodo.20229560
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