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20032026
most citedSelf-dual Einstein spaces and the general heavenly equation. Eigenfunctions as coordinates

15 citations · 80 across the 21 of their papers we have counts for

collaborators

21 papers

gr-qc2026

Geometric origin of intrinsic rigidity for extremal horizons

Wojciech Kamiński, Adam Szereszewski

Our work clarifies the origin of enhanced symmetry of near horizon geometries. We relate this property to an existence of specific foliation by non-expanding horizons. The existenc…

quant-ph2026

Identical, independent quantum weak measurements violate objective realism

Tomasz Rybotycki, Tomasz Białecki, Josep Batle +4

We demonstrate violation of objective realism in quantum world using unconstrained weak measurements. Instead of limited Leggett-Garg approach with artificial bounds on the observe…

math-ph2026

Dispersionless Hirota system and hidden symmetries of heavenly equation

Andriy Panasyuk, Adam Szereszewski

In 2021 Konopelchenko, Schief and Szereszewski observed that solutions of 4D dispersionless Hirota system also solve the general heavenly equation describing self-dual vacuum Einst…

quant-ph2025

Testing time order and Leggett-Garg inequalities with noninvasive measurements on public quantum computers

Tomasz Rybotycki, Tomasz Białecki, Josep Batle +4

We demonstrate the first violation of the Leggett-Garg inequality and time-order noninvariance on public quantum computers using genuine noninvasive measurements. By gathering suff…

math.DG2022

Webs, Nijenhuis operators, and heavenly PDEs

Andriy Panasyuk, Adam Szereszewski

In 1989 Mason and Newman proved that there is a 1-1-correspondence between self-dual metrics satisfying Einstein vacuum equation (in complex case or in neutral signature) and pairs…

nlin.SI2020★ 15 cited

Self-dual Einstein spaces and the general heavenly equation. Eigenfunctions as coordinates

B. G. Konopelchenko, W. K. Schief, A. Szereszewski

Eigenfunctions are shown to constitute privileged coordinates of self-dual Einstein spaces with the underlying governing equation being revealed as the general heavenly equation. T…