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arxiv: 2606.02393 · v1 · pith:MBSNYXZDnew · submitted 2026-06-01 · 🌀 gr-qc · hep-th

Black Bounce via Gravitational Tension Screening Acting as an Analogue of Schwinger Corrections

Milko Estrada This is my paper

Pith reviewed 2026-06-28 13:15 UTC · model grok-4.3

classification 🌀 gr-qc hep-th
keywords black bounceregular black holesgravitational tensionSchwinger effectwormholesenergy conditionsspacetime regularizationgeometric screening
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The pith

Gravitational tension screening produces regular black bounces by capping tension at a finite value instead of letting it diverge.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper introduces a regularization for black bounce spacetimes in which gravitational tension saturates at a finite critical value in high-curvature regimes. This saturation, modeled on Schwinger-like effects, supplies tension-dependent corrections to the scale function. The corrections generate a bounce that appears automatically from the tension-screening balance rather than from an added core. The resulting geometries include regular black holes, extremal cases, and traversable wormholes with spherical, planar, or hyperbolic sections. Hyperbolic and planar regular black holes can obey standard energy conditions near the bounce, while wormhole throats violate them.

Core claim

The scale function acquires tension dependent corrections, giving rise to a regular bounce structure without introducing ad hoc regular cores. The bounce location emerges dynamically from the interplay between gravitational tension and geometric screening. Depending on the regime, the bounce may remain associated with short distance scales or be displaced toward larger finite scale regions, indicating that saturation effects can modify not only the inner structure of compact objects at short scales but also their global geometry.

What carries the argument

Tension-dependent corrections to the scale function that screen gravitational tension at high curvatures and thereby enforce a finite minimum radius.

If this is right

  • Regular black holes, extremal regular black holes, and traversable wormholes arise for spherical, planar, and hyperbolic transverse sections.
  • The bounce location can shift from short-distance scales to larger finite regions according to the saturation parameters.
  • Hyperbolic and planar regular black holes can satisfy the standard energy conditions near the bounce.
  • Hyperbolic geometries admit regular negative-mass configurations whose energy-condition behavior depends strongly on the parameters.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The same saturation rule could be applied to other curvature singularities to test whether it produces regular centers without manual adjustment.
  • Observations of near-horizon geometry or shadows might distinguish tension-screened bounces from other regularization schemes if the bounce radius moves outward.
  • Planar and hyperbolic cases could serve as simplified models for studying energy-condition compliance in modified gravity without spherical symmetry.

Load-bearing premise

The gravitational tension associated with the vacuum geometry does not grow indefinitely in high curvature and short scales regimes, but dynamically approaches a finite critical value.

What would settle it

A derivation in which the tension continues to increase without bound as curvature rises, preventing the scale function from developing a minimum radius, would falsify the mechanism.

Figures

Figures reproduced from arXiv: 2606.02393 by Milko Estrada.

Figure 1
Figure 1. Figure 1: FIG. 1 [PITH_FULL_IMAGE:figures/full_fig_p009_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. First panel: The horizontal and vertical axes display [PITH_FULL_IMAGE:figures/full_fig_p012_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. First panel: The horizontal and vertical axes display [PITH_FULL_IMAGE:figures/full_fig_p013_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. First panel: Mass parameter [PITH_FULL_IMAGE:figures/full_fig_p015_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. First panel: Mass parameter [PITH_FULL_IMAGE:figures/full_fig_p016_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6. First panel: The horizontal and vertical axes display [PITH_FULL_IMAGE:figures/full_fig_p018_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7. First panel: The horizontal and vertical axes display [PITH_FULL_IMAGE:figures/full_fig_p019_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: FIG. 8. For [PITH_FULL_IMAGE:figures/full_fig_p023_8.png] view at source ↗
Figure 9
Figure 9. Figure 9: FIG. 9. For [PITH_FULL_IMAGE:figures/full_fig_p028_9.png] view at source ↗
Figure 10
Figure 10. Figure 10: FIG. 10. For [PITH_FULL_IMAGE:figures/full_fig_p029_10.png] view at source ↗
read the original abstract

We provide a novel geometric regularization mechanism for black bounce spacetimes based on an effective gravitational tension screening inspired by Schwinger like saturation effects. The construction assumes that the gravitational tension associated with the vacuum geometry does not grow indefinitely in high curvature and short scales regimes, but dynamically approaches a finite critical value. As a result, the scale function acquires tension dependent corrections, giving rise to a regular bounce structure without introducing ad hoc regular cores. The mechanism generates regular geometries with spherical, planar, and hyperbolic transverse sections, describing regular black holes (RBHs), extremal RBHs, and traversable wormholes. A key result is that the bounce location emerges dynamically from the interplay between gravitational tension and geometric screening. Depending on the regime, the bounce may remain associated with short distance scales or be displaced toward larger finite scale regions, indicating that saturation effects can modify not only the inner structure of compact objects at short scales but also their global geometry. Hiperbolic and planar RBHs may satisfy the standard energy conditions near the bounce. Moreover, the hyperbolic geometry exhibits distinctive features, including regular negative mass configurations and a strong dependence of the energy conditions on the system parameters. In contrast, the matter sources supporting wormhole geometries, as expected, violate the energy conditions near the throat.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

1 major / 1 minor

Summary. The manuscript proposes a geometric regularization for black-bounce spacetimes via an effective gravitational-tension screening mechanism modeled on Schwinger-like saturation. It assumes that the gravitational tension associated with the vacuum geometry saturates at a finite critical value rather than diverging at high curvature, inducing tension-dependent corrections to the scale function that produce regular bounce structures. The construction is claimed to generate regular black holes, extremal regular black holes, and traversable wormholes for spherical, planar, and hyperbolic transverse sections, with the bounce location emerging dynamically from the tension-geometry interplay; energy-condition behavior is discussed for each case.

Significance. If a consistent dynamical mechanism for tension saturation were derived from the field equations and shown to be independent of the bounce ansatz, the approach could supply a new, non-ad-hoc route to singularity resolution that also modifies global geometry. At present the significance cannot be assessed because the explicit metric functions, the tension-screening Lagrangian or field equations, and any verification against the Einstein equations or energy conditions are not supplied.

major comments (1)
  1. The central claim that a regular bounce arises without ad-hoc cores rests entirely on the postulate that gravitational tension saturates at a finite value. Without the explicit field equations or derivation showing how this saturation is enforced dynamically (rather than imposed by hand), it is impossible to determine whether the bounce location or the energy-condition statements are independent predictions or direct consequences of the saturation assumption itself.
minor comments (1)
  1. The abstract contains the typographical error "Hiperbolic" (should be "Hyperbolic").

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their careful reading of the manuscript and for highlighting the foundational role of the tension saturation assumption. We address the major comment below, clarifying the effective nature of the proposed mechanism.

read point-by-point responses

  1. Referee: The central claim that a regular bounce arises without ad-hoc cores rests entirely on the postulate that gravitational tension saturates at a finite value. Without the explicit field equations or derivation showing how this saturation is enforced dynamically (rather than imposed by hand), it is impossible to determine whether the bounce location or the energy-condition statements are independent predictions or direct consequences of the saturation assumption itself.

    Authors: The saturation of gravitational tension at a finite critical value is introduced as an effective postulate, directly analogous to the Schwinger effect in which vacuum polarization prevents indefinite growth of the electric field. The manuscript does not derive this saturation from the Einstein equations or from an explicit modified-gravity Lagrangian; it takes the saturation as the defining assumption of the model and then examines its geometric consequences. Within this framework the bounce location is fixed by the condition that the tension reaches its critical value, so both the bounce radius and the energy-condition behavior are direct consequences of the assumption rather than independent predictions. We therefore do not claim a first-principles dynamical derivation in the present work, but rather explore the regularization that follows once saturation is imposed. A microscopic derivation from field equations would constitute a natural extension, but lies outside the scope of the current geometric construction. revision: no

Circularity Check

0 steps flagged

No circularity identified; derivation relies on explicit assumption without self-referential reduction

full rationale

The provided abstract states an assumption that gravitational tension saturates at a finite value, from which tension-dependent corrections to the scale function are said to follow, producing a bounce. No equations, self-citations, fitted parameters, or uniqueness theorems are supplied in the text excerpt. Without explicit derivation steps or quotes showing that the bounce location or energy conditions reduce by construction to the saturation assumption itself, no load-bearing circular step matching the enumerated patterns can be exhibited. The paper presents the saturation as an input assumption rather than a derived output, and the resulting geometries are described as consequences rather than tautological redefinitions. This is consistent with a non-circular modeling choice.

Axiom & Free-Parameter Ledger

1 free parameters · 1 axioms · 1 invented entities

The central claim rests on an ad-hoc saturation assumption for gravitational tension and the introduction of an effective screening mechanism whose origin is not derived in the provided abstract.

free parameters (1)
  • critical tension value
    Finite saturation value that tension is assumed to approach; no numerical value or fitting procedure given in abstract.
axioms (1)
  • ad hoc to paper Gravitational tension does not grow indefinitely but dynamically approaches a finite critical value in high-curvature regimes.
    This assumption is invoked to generate the tension-dependent corrections to the scale function.
invented entities (1)
  • gravitational tension screening no independent evidence
    purpose: To produce regular bounce structures analogous to Schwinger corrections without ad-hoc cores.
    New effective mechanism introduced to regularize the geometry; no independent evidence supplied in abstract.

pith-pipeline@v0.9.1-grok · 5751 in / 1363 out tokens · 28846 ms · 2026-06-28T13:15:26.318108+00:00 · methodology

discussion (0)

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Reference graph

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