Working Paper 26

Directed Null Transport: Point-to-Point Light Convergence Across Geometries, Dimensions, and Media

Kilambi Research

October 2026

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Abstract

Which geometries direct a broad family of light rays from one point to another with synchronized arrival? A survey of point-to-point null-geodesic convergence across general relativity, optical geometry, and laboratory analogues, with a proved obstruction lemma for wormhole refocusing and a new invertibility hierarchy for light-transport reconstruction.

Keywords

general relativity, null geodesics, wormholes, gravitational lensing, optical geometry, Maxwell fish-eye, isochronous refocusing, inverse problems