Early Black-Hole Formation from Deep Cancellation Nodes

General relativity determines when a sufficiently compact source forms a black hole, but it does not uniquely determine the microscopic origin of the stress–energy that reaches the trapping threshold. We investigate a node-first formation hypothesis in which an evolving paired-vacuum sector contributes part of the required compactness before a comparable baryonic mass has assembled locally. The proposed paired sector contains two complementary effective potentials: a matter-supporting branch B_M and a cancellation-oriented branch B_A, termed potential antimatter in the Potential Antimatter Model (PAM). Here potential denotes an effective vacuum degree of freedom with dynamical stress–energy consequences, rather than ordinary mechanical potential energy; B_A is not Standard-Model antimatter. Defining Σ = (B_M + B_A)/2,Δ = (B_M − B_A)/2, cancellation corresponds to closure of the branch-difference channel, |Δ| → 0, without requiring Σ → 0. A deep-cancellation node is therefore a localized region in which |Δ| is smaller than in its environment. In a minimal canonical regulator, the associated node–environment transition carries positive gradient energy. For the regular spherical family Δ(r) = Δ_env − δ × exp[−(r/B)²], the gravity-normalized gradient contribution has the exact geometrized ADM mass M_ADM_grad = [3√π/(16√2)] × δ² × B. We evolve this sector with the spherically symmetric Einstein–massless-scalar equations in horizon-penetrating Painlevé–Gullstrand coordinates. An initially untrapped configuration with δ = 0.70 disperses, whereas δ = 0.90, starting from C_max(0) = 0.2272, reaches C = 1 and forms a future marginally outer trapped surface at t_MOTS/B ≈ 0.705. No baryonic matter is present in the regulator. Because the regulator is invariant under Δ → Δ + C, the calculation tests the gravitational consequences of the PAM-motivated node–environment contrast rather than absolute cancellation itself. Within that scope, it demonstrates that the resulting transition stress–energy can become sufficiently compact under standard Einstein evolution to form a future marginally outer trapped surface.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-14
DOI
https://doi.org/10.5281/zenodo.22752258
Primary Topic
Astrophysical Phenomena and Observations
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
preprint

Early Black-Hole Formation from Deep Cancellation Nodes

Rahula T.R. Latchman
Zenodo (CERN European Organization for Nuclear Research)
Astrophysical Phenomena and Observations
preprint

Early Black-Hole Formation from Deep Cancellation Nodes

Rahula T.R. Latchman
preprint en

Abstract

General relativity determines when a sufficiently compact source forms a black hole, but it does not uniquely determine the microscopic origin of the stress–energy that reaches the trapping threshold. We investigate a node-first formation hypothesis in which an evolving paired-vacuum sector contributes part of the required compactness before a comparable baryonic mass has assembled locally. The proposed paired sector contains two complementary effective potentials: a matter-supporting branch B_M and a cancellation-oriented branch B_A, termed potential antimatter in the Potential Antimatter Model (PAM). Here potential denotes an effective vacuum degree of freedom with dynamical stress–energy consequences, rather than ordinary mechanical potential energy; B_A is not Standard-Model antimatter. Defining Σ = (B_M + B_A)/2,Δ = (B_M − B_A)/2, cancellation corresponds to closure of the branch-difference channel, |Δ| → 0, without requiring Σ → 0. A deep-cancellation node is therefore a localized region in which |Δ| is smaller than in its environment. In a minimal canonical regulator, the associated node–environment transition carries positive gradient energy. For the regular spherical family Δ(r) = Δ_env − δ × exp[−(r/B)²], the gravity-normalized gradient contribution has the exact geometrized ADM mass M_ADM_grad = [3√π/(16√2)] × δ² × B. We evolve this sector with the spherically symmetric Einstein–massless-scalar equations in horizon-penetrating Painlevé–Gullstrand coordinates. An initially untrapped configuration with δ = 0.70 disperses, whereas δ = 0.90, starting from C_max(0) = 0.2272, reaches C = 1 and forms a future marginally outer trapped surface at t_MOTS/B ≈ 0.705. No baryonic matter is present in the regulator. Because the regulator is invariant under Δ → Δ + C, the calculation tests the gravitational consequences of the PAM-motivated node–environment contrast rather than absolute cancellation itself. Within that scope, it demonstrates that the resulting transition stress–energy can become sufficiently compact under standard Einstein evolution to form a future marginally outer trapped surface.

Zenodo (CERN European Organization for Nuclear Research)
Affordable and clean energy
Astrophysical Phenomena and Observations
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.