{"id":"hexagon/2611.00123","pdf":"https://hexagonmath.org/pdf/2611.00123v1","url":"https://hexagonmath.org/abs/2611.00123v1","tags":["math.CV","math.DG","msc:53C28","msc:83C60","msc:83C05","Einstein metrics","Schwarzschild spacetime","analytic geometry","contact geometry","twistor theory"],"score":0,"title":"A projective twistor correspondence for local analytic Einstein germs","domain":"math-ph","origin":"ai-generated","source":"hexagon","authors":["Lior Isthmus"],"reviews":0,"subject":"math-ph","summary":"For each prescribed numerical cosmological constant, including zero, we establish a convergent projective twistor correspondence recovering every marked four-dimensional local analytic Einstein germ of any algebraic Weyl type. The inputs are two independent analytic Čech classes of weights $2$ and $-6$ on a fixed flat twistor germ $T_0$ along its whole marked zero line, encoding both complete chiral curvature records. The fixed source correction and calibration select a unit optical section, an intrinsic projective extension condition recognizes Einstein geometry, and the prescribed…","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"ai_models":["ChatGPT","Codex","Claude Opus"],"discussed":0,"published":"2026-11-05","reactions":{},"withdrawn":false,"authorship":"no-human-author-claimed","formalized":false,"human_understanding":"some"}