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May 1, 2026Journal of High Energy Physics3 citationsOpen Access

Unveiling horizons in quantum critical collapse

MTMarija TomaševićCWChih-Hung Wu

Key Points

  • This work aims to analyze critical gravitational collapse and its quantum effects on singularities.
  • Performed one-loop semiclassical analysis in Einstein gravity with a free scalar field.
  • Analyzed near-critical solutions in 2 + 1 and 3 + 1 dimensions.
  • Solved semiclassical Einstein equations to investigate vacuum polarization effects.
  • Identified a Boulware-like quantum state that produces vacuum polarization effects.
  • Found a growing mode in quantum corrections indicating a mass gap.
  • Revealed a phase transition from classical Type II to quantum-modified Type I behavior.

Abstract

A bstract Critical gravitational collapse offers a unique window into regimes of arbitrarily high curvature, culminating in a naked singularity arising from smooth initial data — thus providing a dynamical counterexample to weak cosmic censorship. Near the critical regime, quantum effects from the collapsing matter are expected to intervene before full quantum gravity resolves the singularity. Despite its fundamental significance, a self-consistent treatment has so far remained elusive. In this work, we perform a one-loop semiclassical analysis using the robust anomaly-based method in the canonical setup of Einstein gravity minimally coupled to a free, massless scalar field. Focusing on explicitly solvable near-critical solutions in both 2 + 1 and 3 + 1 dimensions, we analytically solve the semiclassical Einstein equations and obtain controlled, quantitative results for several long-standing questions within the dominant s -wave sector. We find that regularity uniquely selects a Boulware-like quantum state, encoding genuine vacuum polarization effects from the collapsing matter. Remarkably, the resulting quantum corrections manifest as a growing mode. Horizon-tracing analyses, incorporating both classical and quantum modes, reveal the emergence of a finite mass gap, signaling a phase transition from classical Type II to quantum-modified Type I behavior, thereby providing a quantum enforcement of the weak cosmic censorship. The most non-trivial aspect of our analysis involves dealing with non-conformal matter fields in explicitly time-dependent critical spacetimes. Along the way, we uncover intriguing and previously underexplored features of quantum field theory in curved spacetime.

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Cite This Study

Tomašević et al. (2026) studied this question.

synapsesocial.com/papers/69f44325967e944ac556689dhttps://doi.org/10.1007/jhep04(2026)151
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