Physics
Coherence Geometry provides a structural framework for modeling physical systems through interactions among numerical fields and coherence-driven dynamics. Research in this domain spans foundational questions and domain-specific phenomena across theoretical physics.
Research Topics
Fundamental Structure
Quantum Foundations
Coherence-geometric treatments of phase closure, quantization, interference, measurement, and quantum correlation structure.
Gravitation, Horizons, and Cosmology
Black Holes and Horizon Structure
Investigations of horizon-like interfaces, curvature trapping, information flow, radiative flux, and gravitational analogue dynamics within coherence-geometric models.
Cosmology
Applications of coherence-driven dynamics to large-scale structure, cosmic evolution, late-time expansion, dark-sector behavior, and early-universe phenomena.
Field and Continuum Systems
Electromagnetism
Geometric representations of electromagnetic fields and interactions within the coherence framework.
Fluid Dynamics
Continuum systems modeled through curvature-driven amplitude relaxation and coherence-governed transport.
Field Dynamics
Coherence-field models of phase evolution, relaxation, flux, wave propagation, basin formation, and internal refinement in structured amplitude-phase systems.
Applied Physical Systems
Accelerator and Beam Physics
Coherence-geometric approaches to particle beams, accelerator systems, field-driven transport, beam stability, collective dynamics, and coherent output.
Publications List
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Deterministic Geometric Preparation and the Emergence of the Born Rule in Two-Path Interference
CGI-RSR-000022 | The two-path interference law is conventionally derived from complex amplitude superposition together with the Born rule. We present an alternative structural derivation based on a deterministic geometric preparation model defined on the unit circle.
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Geometric Substrate Models and Bell–CHSH Correlations: A Structural Analysis of Assumption Relaxation
CGI-RSR-000021 | This paper presents a structural analysis of Bell–CHSH correlations using a hierarchy of geometric hidden-variable models defined on the unit circle. The purpose is not to propose a complete physical hidden-variable theory, but to make the assumption-dependence of Bell-type correlations explicit in a transparent geometric setting. The paper examines how Bell–CHSH behavior changes…
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Planck’s Constant as a Coherence Quantization from Phase Geometry
CGI-RSR-000020 |Planck’s constant h is traditionally introduced as an empirical constant. Here we show that a natural action scale S_0 arises from phase-constrained coherence geometry. Thus quantization is not imposed but emerges from the geometry of phase closure.
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Electromagnetism from Coherence Geometry: Field Alignment, Wave Propagation, Lorentz Interactions, and Coherence-Driven Radiation
CGI-RSR-000019 | This work presents a reformulation of classical electromagnetism using Coherence Geometry (CG) — a deterministic framework in which electric and magnetic phenomena emerge from the dynamics of structured phase alignment rather than fundamental vector fields.
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Toward a Mechanism of Charge: A Criterion-Based Approach Using Coherence Geometry
CGI-RSR-000018 | This paper presents a geometric mechanism for electric charge, grounded in localized curvature within a structured coherence field rather than in fundamental particles.
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Coherence Geometry Foundations, Part II: Physical Projections
CGI-BKS-0002 | Part II of the Coherence Geometry Foundations working reference text. It examines how quantum-like linear dynamics, causal and relativistic structure, residual coherence strain and cosmological background terms, electromagnetic field structure, thermodynamic behavior, and macroscopic transport can be represented as domain-level projections of the shared-amplitude, multi-phase coherence framework.
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Coherence Geometry Foundations, Part I: Orientation, Closure, and Algebraic Foundations
CGI-BKS-0001 | Part I of the Coherence Geometry Foundations working reference text. It introduces multi-phase numbers, shared-amplitude phase structure, mathematical closure, projection, coherence relations, coherence matrices, coherence manifolds, projective coherence objects, morphisms, operators, and the canonical convergence and stability results governing coherent systems.
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A Coherence-Geometric Interpretation of Beam Emittance, Synchrotron Output, and Wakefield Structure
CGI-RSR-000016 | This technical note develops a coherence-geometric interpretation of beam emittance, coherent synchrotron output, beam cooling, wakefield structure, and accelerator diagnostics.
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Pattern Formation via Curvature-Driven Amplitude Relaxation in Coherence Geometry
CGI-RSR-000015 | We present a coherence–geometric formulation of diffusion–reaction–like pattern formation based on curvature-driven amplitude relaxation (CDAR). Rather than modeling diffusion and reaction as distinct processes acting on multiple scalar fields, the proposed approach represents spatial structure as the evolution of a constrained amplitude–phase field governed by geometric coherence couplings.
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A Variational–Relaxation Framework for Coherence-Driven Structure Formation
CGI-RSR-000013 | We develop a variational framework for coherence-driven structure formation, placing phase coherent self-organization within a unified geometric description compatible with variational principles used throughout physics.
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