What question did this study set out to answer?

The aim is to investigate the interplay between non-collinearity and trapped-domain phenomena within constrained null geometry.

June 9, 2026Open Access

Non-Collinearity, Trapped-Domain Growth, and Saturation Dynamics in Constrained Null Geometry

Key Points

The aim is to investigate the interplay between non-collinearity and trapped-domain phenomena within constrained null geometry.
Conducted three diagnostic simulations in the black-hole sector of constrained null geometry.
Examined the effects of increasing non-collinearity on trapped-domain size and feedback with surrounding geometry.
Analyzed the behavior of new realizations after saturation of a trapped domain.
Increasing non-collinearity leads to larger trapped domains.
Trapped closure reduces exterior disorder and eventually saturates.
Post-saturation, new realizations either form additional trapped domains or redistribute globally.

Abstract

This repository contains the article Non-Collinearity, Trapped-Domain Growth, and Saturation Dynamics in Constrained Null Geometry together with the simulation outputs used in the study. The work investigates three diagnostic simulations within the previously derived black-hole sector of Constrained Null Geometry (CNG). The simulations explore the relationship between null-channel non-collinearity, trapped-domain formation, trapped-domain saturation, and post-saturation evolution. The first simulation examines how increasing non-collinearity affects trapped-domain size. The second studies feedback between trapped closure and surrounding geometry. The third investigates the fate of newly generated realization after an existing trapped domain ceases accepting additional inflow. The simulations consistently exhibit the sequence non-collinearity → timelike defect → support realization → supported compactness → escape action → trapped-domain formation. Within the simulations, increasing non-collinearity enlarges trapped domains, while trapped closure reduces exterior disorder and eventually saturates. After saturation, newly generated realization either forms additional trapped domains or redistributes globally. The paper does not propose a cosmological model and does not claim observational confirmation. Its purpose is to document and analyze the behaviour of diagnostic simulations performed within the existing CNG geometric framework. Contents: PDF article Simulation outputs Figures Reproducibility files

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