Article

Readout-Gramian Kinematics of Optical Phase Singularities: Jacobian Collapse, Fold Annihilation, and Apparent Superluminal Defect Motion

2026-07-02

Abstract excerpt

<title>Abstract</title> Optical phase singularities are zeros of a complex field. They are often tracked as particle-like defects, but their measured motion is only a local chart of a zero set. We give a self-contained readout-Gramian formulation of this chart kinematics. For a measured complex field Ψ, define F = (Re Ψ, Im Ψ) and let J_F = ∇ᵣF be the spatial readout amplitude. The positive readout Gramian G_F...

Topics

Open a Topic to create a Post that cites this publication.

Identifiers and source

Literature Corpus work: f8167428-5102-5540-97bb-46a8c31780e8
DOI: 10.21203/rs.3.rs-10073566/v1

Open publication

Related research

Semantic proximity does not establish scientific evidence.

Click a neighbor to travelStep 1 · 12 closest

Readout-Gramian Kinematics of Optical Phase Singularities: Jacobian Collapse, Fold Annihilation, and Apparent Superluminal Defect MotionDOI 10.21203/rs.3.rs-10073566/v1Read

Biorthogonal Covariance Amplification Near the Breathing Threshold of Dissipative Kerr SolitonsSemantic proximity Read

A Layered Information-Geometric Framework for Stable Estimation Under Missing and Heteroscedastic ObservationsSemantic proximity Read

Enhancing Quantum Machine Learning: The Power of Non-Linear OpticalReproducing KernelsSemantic proximity Read

Persistence Collapse Transitions and Observable Admissibility in Nonlinear Dynamical Systems: A Preregistered Empirical BenchmarkSemantic proximity Read

On a Generalization of the Field Equations of Gravitation Incorporating Fractional and Nonlocal StructureSemantic proximity Read

Operator Flows and the Emergence of Lorentzian OrderSemantic proximity Read

Antigravity as Vector Gravity: Controlled Inertia and Engine ConceptSemantic proximity Read

The wide POLG-related spectrum: An integrated view.Semantic proximity Read

Deterministic Lattice-Brane Substrate in a 4D Embedding Emergent Lorentz Kinematics, Gauge Holonomy, and Solitonic MatterSemantic proximity Read

Fractal Quantization Model (FQM) From Discrete Scale Invariance in Fibonacci Quasiperiodic Lattices to a Falsifiable Effective Astrophysical and Vector FrameworkSemantic proximity Read

Parity Bifurcation, PIII(D6) Topology, and a Stieltjes Framework to Jensen Polynomial HyperbolicitySemantic proximity Read

Apparent criticality from common-drive aliasing in self-exciting networksSemantic proximity Read