A finite-separation binding well in a frozen sextic Q-ball model: independent-code confirmation in flat space, first full-GR evolution, and a boundary-drainage triage

I study two-soliton interactions in a frozen complex-scalar model with a sextic self-interaction (parameters m = 1, λ = 1, γ = 0.5 throughout), using the ω = 0.85 Q-ball (f(0) = 1.0633, E = 337.64, Q = 365.45, E/Q = 0.9239) as the reference soliton. Earlier flat-space measurements reported an interaction-energy minimum — a binding dip — for an at-rest charge-conjugate pair at separation d ≈ 7–7.5, ≈21 units below the two-free-soliton threshold. I confirm that dip in an independent production code (a BSSN evolution lineage run at G = 0) against four criteria registered before the runs: the same-code static curve has its minimum at d = 7 with depth −21.17 (threshold 673.581), and the masked t = 100 evolution energies preserve the required ordering, E_m(7.5) = 563.943 < E_m(6) = 571.395 < E_m(14) = 592.166 against a masked threshold of 645.242. Evolutions at all three separations end as bounded, oscillating two-peak structures; the pairs shed energy radiatively through the open boundary and are trapped by their own losses. In full general relativity (G = 0.001) the well's shape is not reproduced at build level (E(7.5) − E(14) = +0.24 against a pre-stated ≤ −3 bar), while a t = 100 evolution of the d = 7.5 pair remains a bounded two-peak structure with modest losses (E: −3.272%). A registered settled-vs-settled comparison, the designated judge of the dip's GR status, has been run and returned UNCLEAR: no core separation reached a settled state within T = 200, so no settled comparison exists (§5.3). A second registered phenomenon — a gravity-induced flip of the anti-phase v = 0.2 collision outcome — could not be judged: the production code's G = 0 control binds the pair where the map code passes it through. A two-step triage exonerated the initial-data construction and identified the open boundary's radiative drainage (12.467% of whole-box energy shed, vs 0.069% in the map code's reflecting box) as the prime suspect; the decisive boundary test has since been completed (§6.4): the larger-box arm shed less (7.223% — the shed is strongly boundary-linked), but its pair drifts slowly outward rather than binding (final-third slope fit +0.0623; plain UNCLEAR, supplementary ESCAPE-TRENDING), so the boundary is not exonerated as the decisive ingredient on this record, the map-versus-production split remains open between boundary, scheme, and timestep, and the flip cells remain held. All criteria in this programme were recorded before the runs they judge, and all failures are reported alongside the passes.

Authors

Institutions

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-04
DOI
https://doi.org/10.5281/zenodo.23940828
Primary Topic
Black Holes and Theoretical Physics
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

A finite-separation binding well in a frozen sextic Q-ball model: independent-code confirmation in flat space, first full-GR evolution, and a boundary-drainage triage

Skyler Krieger
Zenodo (CERN European Organization for Nuclear Research)
Black Holes and Theoretical Physics
preprint

A finite-separation binding well in a frozen sextic Q-ball model: independent-code confirmation in flat space, first full-GR evolution, and a boundary-drainage triage

Skyler Krieger
preprint en

Abstract

I study two-soliton interactions in a frozen complex-scalar model with a sextic self-interaction (parameters m = 1, λ = 1, γ = 0.5 throughout), using the ω = 0.85 Q-ball (f(0) = 1.0633, E = 337.64, Q = 365.45, E/Q = 0.9239) as the reference soliton. Earlier flat-space measurements reported an interaction-energy minimum — a binding dip — for an at-rest charge-conjugate pair at separation d ≈ 7–7.5, ≈21 units below the two-free-soliton threshold. I confirm that dip in an independent production code (a BSSN evolution lineage run at G = 0) against four criteria registered before the runs: the same-code static curve has its minimum at d = 7 with depth −21.17 (threshold 673.581), and the masked t = 100 evolution energies preserve the required ordering, E_m(7.5) = 563.943 < E_m(6) = 571.395 < E_m(14) = 592.166 against a masked threshold of 645.242. Evolutions at all three separations end as bounded, oscillating two-peak structures; the pairs shed energy radiatively through the open boundary and are trapped by their own losses. In full general relativity (G = 0.001) the well's shape is not reproduced at build level (E(7.5) − E(14) = +0.24 against a pre-stated ≤ −3 bar), while a t = 100 evolution of the d = 7.5 pair remains a bounded two-peak structure with modest losses (E: −3.272%). A registered settled-vs-settled comparison, the designated judge of the dip's GR status, has been run and returned UNCLEAR: no core separation reached a settled state within T = 200, so no settled comparison exists (§5.3). A second registered phenomenon — a gravity-induced flip of the anti-phase v = 0.2 collision outcome — could not be judged: the production code's G = 0 control binds the pair where the map code passes it through. A two-step triage exonerated the initial-data construction and identified the open boundary's radiative drainage (12.467% of whole-box energy shed, vs 0.069% in the map code's reflecting box) as the prime suspect; the decisive boundary test has since been completed (§6.4): the larger-box arm shed less (7.223% — the shed is strongly boundary-linked), but its pair drifts slowly outward rather than binding (final-third slope fit +0.0623; plain UNCLEAR, supplementary ESCAPE-TRENDING), so the boundary is not exonerated as the decisive ingredient on this record, the map-versus-production split remains open between boundary, scheme, and timestep, and the flip cells remain held. All criteria in this programme were recorded before the runs they judge, and all failures are reported alongside the passes.

Zenodo (CERN European Organization for Nuclear Research)
Redlands Community College (US)
Black Holes and Theoretical Physics
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.

Laika access coming soon