TDH-CRAH-AI-Σ (TDH-Causal Reorganization & Accumulation Hub): An Advanced Architectural Variant for Multi-Scale Feedback, Tensor-Driven Causation, and Entropic Governance Boundaries (Version 2.0 - Math Extended)

Title

TDH-CRAH-AI-Σ (TDH-Causal Reorganization & Accumulation Hub): An Advanced Architectural Variant for Multi-Scale Feedback, Tensor-Driven Causation, and Entropic Governance Boundaries

Version

2.0 - (Math extended)

Authors

Thai, Dinh Hau (TDH)

(Thái Đình Hầu (Vietnamese name))

(Pen-names: TDH, or Thomas H. D. Thai, Thomas Thai, Thoriel-TDH)

Affiliation

Independent Researcher

(Scientifically Theoretical Architect)

Date of Publication

2026-10-24

Description/Abstract

This work presents an advanced mathematical and structural divergence of the TDH-CRAH-AI-Σ framework, explicitly designed to elevate its initial pre-formal systems paradigm into an independently viable operational model within the Combined Intangible and Tangible Verse (CIT-Verse). 

While parallel repository deposits (such as DOI: 10.5281/zenodo.23288373) focus on basic computational procedural loop execution, this isolated Version 2.0-Math-Extended treatise provides a comprehensive text-driven formalization of the system's underlying mathematical operators. This manuscript introduces multi-scale history tensor equations for causal accumulation within the Causal Reorganization and Accumulation Hub (CRAH), non-linear coupled field aggregations for cognitive module summation (Σ), and explicit entropic boundary minimization constraints for the internal housekeeping governance system (Gov). 

Included in this repository are complete, warning-free LaTeX source assets, publication-grade math formatting blocks, and a native Python simulation script that computationally verifies system telemetry stabilization parameters post-transition without requiring centralized top-down control loops. This framework functions as an organizational systems paradigm designed to complement existing computational and physical laws.

Keywords

• TDH Theory
• TDH-CRAH-AI-Sigma (Causal Reorganization & Accumulation Hub)
• CIT-Verse (Combined Intangible & Tangible -Verse)
• Multi-Scale Feedback Mechanics
• Tensor-Driven Causation
• Causal Reorganization and Accumulation Hub (CRAH)
• Housekeeping Governance (Gov)
• Entropic Boundary Constraints
• Python Loop Simulation
• Matrix Stabilization Function
• Cognitive Architecture
• Decentralized Emergence

License

Creative Commons Attribution 4.0 International (CC BY 4.0)