Parameter-Free Prediction of the JWST Little Red Dot Observability Window from a Pure Topological Field Theory

This project contains the complete documentation, pre‑registrations, data products, replication materials, and experimental outputs associated with the UTF‑LRD research series. The LRD program investigates depth‑dependent collapse behavior, structural compactness, local dark‑to‑baryonic matter ratios, and depth‑to‑redshift mappings within a discrete tetrahedral field. All results are generated through deterministic GPU experiments and are accompanied by fully reproducible datasets, hash‑secured outputs, and minimal replication specifications. The project includes five main components: Pre‑registration documents (LRD‑001 .. LRD‑004) Formal pre‑registered protocols specifying hypotheses, observables, analysis plans, and decision criteria for each LRD experiment. These documents define the planned structure of the series and provide a transparent record of all intended tests before data collection and analysis. Preprints Peer‑review‑ready manuscripts describing the theoretical motivation, analytical results, and empirical findings of the LRD series, including the depth‑to‑redshift mapping relevant to JWST observations and the parameter‑free prediction of local dark‑to‑baryonic matter ratios. Data & Methods A complete record of all observables, definitions, measurement procedures, and JSON data formats used in the LRD experiments. This section provides everything required to understand and independently verify each measured quantity. Replication Package A minimal, engine‑independent specification enabling full reproduction of all figures and numerical results. It includes JSON datasets, plotting scripts, hash chains, and step‑by‑step instructions for regenerating the LRD outputs. Figures and Experimental Outputs The four primary LRD plots (collapse probability, structural compactness, depth‑to‑redshift mapping, and local matter ratio) together with all supporting data. These figures summarize the main empirical outcomes of the LRD program. The purpose of this project is to provide a transparent, fully documented, and reproducible record of the LRD research series, from pre‑registration to final results. All materials are openly accessible for scientific use under a non‑commercial, attribution‑required, share‑alike license. The expected outcome is a complete, verifiable dataset and documentation package that enables independent evaluation of the LRD results and their implications for depth‑dependent structure formation and early‑universe observations.