Physics
Coherence Geometr 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
Foundations of Quantum Theory
Structural reinterpretations of quantum principles within a coherence-geometric framework.
Quantum Gravity
Structural approaches to quantum gravity using coherence-based geometry and variational formulations of physical law.
Time
Investigations into temporal structure, causality, and emergent dynamics within coherence-based systems.
Gravitation and Cosmology
Black Holes
Investigations of horizon structure, information flow, and gravitational dynamics within coherence-geometric models.
Cosmology
Applications of coherence-driven dynamics to large-scale structure, cosmic evolution, 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.
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
-
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.
-
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.
-
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.
-
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.
-
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.
-
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.
-
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…
-
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.
-
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.
-
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.
Return to Domains