Krasnov Alexandr

Four-Dimensional Spinorial Geometry and Chiral Spectral Duality via Temporal Spin Connections on Deformed Backgrounds

We construct a self-consistent four-dimensional spinorial framework to evaluate the first-order spectral deformations of the unreduced, massless Dirac operator ˆ/Dg = γae μa ∇μ re-stricted to an axisymmetrically deformed Lorentzian manifold. Utilizing the localized framebundle vi...

Tidal Deformations and Analytical Derivation of Surface Gravity for Deformed Horizons

We present an analytical derivation of the horizon-averaged surface gravity κ(τ ) for anaxisymmetrically deformed topological core under the horizon within an adopted metric de-formation model. By evaluating a quadrupolar perturbation governed by the Legendre poly-nomial Y20(θ),...

Thermodynamic Free Energy of Spacetime and Entropy-Driven Cosmogenesis

This work presents a rigorous, non-singular framework for cosmogenesis derived directly from first principles using Jacobson’s horizon thermodynamics. We model the interior of black holes by replacing the classical curvature singularity with a finite-volume four-dimensional topol...

Thermodynamic Free Energy of Spacetime and Entropy-Driven Cosmogenesis

This work presents a rigorous, non-singular framework for cosmogenesis derived directly from first principles using Jacobson’s horizon thermodynamics. We model the interior of black holes by replacing the classical curvature singularity with a finite-volume four-dimensional topol...