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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An Operator Bridge Between Arithmetic Heights and Analytic Residues for Elliptic Curves
Internal ID: CGI-RSR-000004 | We present a structured program relating the arithmetic and analytic structures appearing in the Birch–Swinnerton–Dyer conjecture for elliptic curves over Q. The construction proceeds through two parallel bridges. The arithmetic bridge reconstructs the NÅLeron–Tate height pairing from a system of local coherence pairings obtained via defect descent at all places of the curve. Summation of the local energies produces a global quadratic operator whose determinant yields the classical regulator. The analytic bridge constructs a quadratic operator from the spectral structure of the L–function.
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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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Information & Computation | Clay Millennium Problems | Constraint Satisfaction and Computational Search | Mathematics | Research Papers
A Coherence Field Approach to SAT: Linear-Scale Defect Structure and Clause-Centered Repair
Internal ID: CGI-RSR-000002 | We study a coherence-based dynamical representation of Boolean satisfiability in which clauses induce local pressures that generate a field over variables, and assignments evolve by aligning with this field.
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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.