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April 10, 2026Open Access

Effective Regular Black-Hole Interiors with a Saturating Scalar Closure: Analytical Framework and Regime Classification

Key Points

This research aims to develop a minimal effective model of regular black-hole interiors and classify its admissible regimes.
Developed a model based on saturating scalar closure
Established regularity criteria for black-hole interiors
Introduced the transition diagnostic w_eff
Classified late-time behaviors within the model
Identified explicit criteria for regular black-hole interiors
Demonstrated the utility of the transition diagnostic w_eff
Classified various admissible late-time regimes

Abstract

This paper presents a minimal effective model of regular black-hole interiors based on a saturating scalar closure. The analysis establishes explicit regularity criteria, introduces the transition diagnostic w₄₅₅, and classifies the admissible late-time regimes within the model. The construction is deliberately effective and model-dependent: it does not claim ultraviolet completion, global geodesic completeness, or a derivation from first principles.

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Michał Jerzy Drewnisz

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Effective Regular Black-Hole Interiors with a Saturating Scalar Closure: Analytical Framework and Regime Classification

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