Dark Matter
Dark matter remains one of the central open questions in modern cosmology. Observations of galactic rotation curves, gravitational lensing, cluster dynamics, and large-scale structure indicate the presence of gravitational effects that are not explained by luminous matter alone.
Research collected in this area explores a variety of Coherence Geometry perspectives on dark-matter-related phenomena. These investigations include studies of density scaling, gravitational lensing, structure formation, field transport, cosmological evolution, and the emergence of large-scale gravitational behavior from underlying coherence dynamics.
The papers in this section are not intended to represent a single completed model. Rather, they examine different aspects of the dark matter problem from multiple directions, ranging from phenomenological scaling arguments to coherence-based structure formation mechanisms.
Conserved Flux, Lensing, and Structure Formation
Three papers within this collection form a closely related sequence investigating a common dynamical pathway.
The first paper, Conserved Flux and Inverse-Square Density Profiles in Galactic Rotation Curves, shows that conserved outward flux in the exterior region of a localized field configuration naturally produces an effective density profile scaling as
\(\rho(r)\sim\frac{1}{r^2}\),
leading to approximately flat galactic rotation curves.
The second paper, Inverse-Square Density Profiles and Gravitational Lensing from Conserved Flux, examines the gravitational implications of the same density profile. The resulting lensing behavior reproduces the leading-order characteristics of standard isothermal halo models, connecting the scaling mechanism to observable lensing signatures.
The third paper, Constraint-Driven Formation of Coherence Structures and Their Inverse-Square Exterior Flux, investigates a possible dynamical origin for the conserved flux itself. Within the framework of Coherence Geometry, constrained variational-relaxation dynamics generate stable coherence structures whose exterior behavior naturally exhibits conserved outward flux and inverse-square scaling.
Taken together, these papers explore the chain
coherence dynamics → structure formation → conserved exterior flux → inverse-square density scaling → rotation curves and lensing.
The sequence is intended to illustrate how observable gravitational behavior can be connected to an underlying dynamical mechanism through a series of progressively more detailed analyses.
Publications List
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Constraint-Driven Formation of Coherence Structures and Their Inverse-Square Exterior Flux
CGI-RSR-000031 | We establish a dynamical mechanism by which coherence-driven structure formation produces the inverse-square scaling behavior associated with galactic rotation curves and gravitational lensing.
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Inverse-Square Density Profiles and Gravitational Lensing from Conserved Flux
CGI-RSR-000030 | The paper establishes the following chain: conserved outward flux -> rho(r) ~ r^-2 -> gravitational potential -> approximately constant lensing deflection. The resulting lensing behavior is consistent with the leading-order predictions of standard halo models used to interpret gravitational lensing observations.
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Conserved Flux and Inverse-Square Density Profiles in Galactic Rotation Curves
CGI-RSR-000029 | The paper establishes the following chain: conserved outward flux -> rho(r) ~ r^-2 -> M(r) ~ r -> v(r) approximately constant. Under general conditions, inverse-square density profiles and flat galactic rotation curves arise as direct consequences of flux conservation in three-dimensional space.