3 papers
math-ph2026
An operator algebraic characterization of the Riemannian vacuum Einstein equation in four dimensions
Gabor Etesi
In this paper, using connected compact oriented smooth 4-manifolds, some representations of the hyperfinite II_1-type factor von Neumann algebra are constructed. The Murray--von Ne…
physics.gen-ph2025
On the emergence of the Lorentzian metric structure of space-time in general relativity
Gabor Etesi
In this short note we argue that, even if, as sometimes remarked, a Lorentzian manifold does not model correctly the structure of the spatio-temporal continuum as it is, yet a Lore…
math.DG2024
The complex structure on the six dimensional sphere
Gabor Etesi
Proof of existence of a complex structure on the six-sphere, followed by an explicit computation of its underlying integrable almost complex tensor by the aid of inner automorphism…