What question did this study set out to answer?

To establish rigorous spectral theorems and provide a parameter-free prediction and test of the charge-ring radius for a two-sector Dirac-medium soliton in the frozen limit.

August 14, 2026Open Access

The Charge-Ring Radius from the Mass Profile: spectral theorems, verified (computer-assisted) computations, and a parameter-free test of the frozen limit for the charge ring of a two-sector Dirac-medium soliton

View Full Paper

Ask AI

Bookmark

Authors

AAAdian Abbasov

Discussion

Member takes

Implication

Theoretical study demonstrates accurate prediction of charge-ring radius in Dirac-medium solitons using spectral theorems and verified interval arithmetic, confirming the frozen-limit model.

Key Points

To establish rigorous spectral theorems and provide a parameter-free prediction and test of the charge-ring radius for a two-sector Dirac-medium soliton in the frozen limit.
Derived mathematical proofs establishing Prüfer matching monotonicity, Wronskian sign properties, and automatic nodelessness for the lowest bound mode channel (κ = −2).
Executed verified, computer-assisted interval computations to enclose the ground-state eigenfrequencies within rigorous bounds.
Conducted a parameter-free comparison between the theoretical ring radius predicted from a static mass profile and direct measurements from live dynamical simulations (grid resolution N = 64).
Rigorous interval analysis established ground-state frequency brackets ω₀ ∈ [0.76251; 0.76254] and [0.80505; 0.80513] with verified spectral gaps ≥ 0.187 and ≥ 0.144.
Live dynamical simulations measured a settled charge-ring radius of 3.2917 ± 0.0206, agreeing within +0.7% of the parameter-free prediction of 3.27 (rigorous interval [3.17; 3.37]).
The measured same-time contraction ratio (0.9652 ± 0.0027) definitively excluded a geometric anchor on the profile wall by approximately 17 standard deviations.

Cite This Study

Adian Abbasov (2026) studied this question.

synapsesocial.com/papers/6a7ec735b70b84ec8b9134eb https://doi.org/10.5281/zenodo.21462460

View Full Paper

Ask AI

Bookmark

Implication

Theoretical study demonstrates accurate prediction of charge-ring radius in Dirac-medium solitons using spectral theorems and verified interval arithmetic, confirming the frozen-limit model.

The Charge-Ring Radius from the Mass Profile: spectral theorems, verified (computer-assisted) computations, and a parameter-free test of the frozen limit for the charge ring of a two-sector Dirac-medium soliton

Discussion

Member takes

Implication

Key Points

Cite This Study

The Charge-Ring Radius from the Mass Profile: spectral theorems, verified (computer-assisted) computations, and a parameter-free test of the frozen limit for the charge ring of a two-sector Dirac-medium soliton

Discussion

Member takes

Implication

Key Points

Cite This Study

Also Consider

Also Consider