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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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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Unified Coherence Geometry: A Common Action for Physical Fields
CGI-RSR-000011 | This work introduces the Unified Coherence Action with constrained forms that reproduce the major laws of physics.
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Projective Rank-one Closure for Terminal Navier–Stokes Saturation
Internal ID: CGI-RSR-000006 | We study terminal rank-one saturation mechanisms in a dyadic analysis of the three-dimensional incompressible Navier–Stokes equations. Starting from a high–high OBCI closure module for comparable high-frequency interactions, we analyze the remaining determining-scale paraproduct strain branch using localized output Gram matrices. No terminal nondepleted rank-one output-coherent saturation branch persists under the stated…
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Rank-One Coherence Obstructions in High–High Navier–Stokes Interactions
Internal ID: CGI-RSR-000005 | We study comparable high–high interactions in the three-dimensional incompressible Navier–Stokes nonlinearity.
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Local Coherence Hessians: A Structural Classification of Spectral Gaps
Internal ID: CGI-RSR-000003 | We provide a structural classification of spectral gaps for local coherence functionals on periodic lattices.
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A Constrained Dynamical Dark Energy Parameterization with Linked w₀ and wₐ
CGI-RSR-000001: We present a constrained dynamical dark-energy parameterization that provides a fit-ready alternative to standard phenomenological models used in late-time cosmology.
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