Supplementary Materials and Data for "A Model-Composition Syntax for Observer-Explicit Self-Referential Time-Series Systems: The Observer--Reflector Complex (ORC)"

This record provides supplementary materials and data for the manuscript “A Model-Composition Syntax for Observer-Explicit Self-Referential Time-Series Systems: The Observer--Reflector Complex (ORC).” The manuscript presents ORC as a model-composition syntax and conceptual-structure schema for observer-explicit self-referential time-series systems.

The record supports the conceptual-structure and symbolic-numeric modeling version of ORC. It includes Supplementary Material 01, Supplementary Table 01, machine-readable correspondence data, figure files, a figure manifest, a video demonstration, a video still image, a video caption, source notes, and a rights notice.

Supplementary Material 01 contains the expanded model-composition syntax, lightweight taxonomy, working ontology / relation schema, ASCII computation graph, full algorithmic pseudocode, parameter notes, an HMC/HMCC geometric note, the level--extremum correspondence extraction protocol, and figure/video source notes. Supplementary Table 01 provides the full 36-point level--extremum correspondence table. Supplementary Data 01 provides the corresponding machine-readable CSV data.

The materials document how ORC types and connects a source series, observer-side and target-side local frames, continuous and finite label layers, synchronization sets, and partial return maps. The BTCUSD chart implementation is used as a constructive domain instance of the schema.

The full Pine Script implementation is not released as public reusable software because it contains study-specific internal modules. Algorithmic pseudocode and parameter notes are provided in Supplementary Material 01, and the full scripts may be made available to the editorial office and reviewers for confidential inspection upon request, subject to the journal’s file-handling procedure.

This record supplements the ORC preprint at DOI: 10.5281/zenodo.20062406. It is substantially reframed from the earlier comprehensive ORC preprint at DOI: 10.5281/zenodo.19882581 and reorganizes materials related to the earlier ORC supplementary/data record at DOI: 10.5281/zenodo.19880153. The finite labeling layer also relates to the LSMT_1 preprint at DOI: 10.5281/zenodo.15315456.