The Grand TDH Tandemized Duo Framework: Harmonizing Multi-Axis Physical Mechanics with Hybrid Operational Regimes

Title The Grand TDH Tandemized Duo Framework: Harmonizing Multi-Axis Physical Mechanics with Hybrid Operational Regimes Version 3.4 Date of Publication 2026-11-06 Authors Thai, Hau Dinh (TDH) (Thái Đình Hầu (Vietnamese name) (Pen-names: TDH, Thomas H. D. Thai, Thomas Thai) Affiliation Independent Researcher/ Scientifically Theoretical Architect Description/Abstract Theory of the TDH — Perpetually Creation and Evolution of the Universe: The Universal Hybrid Regime Framework (Version 3.4) Author: Hau Dinh Thai (TDH) This master treatise formalizes the structural integration of the Theory of the TDH series, unifying independent research milestones into an interconnected, multi-volume academic framework. The document establishes a Grand Tandemized Duo structure divided into Module I (The Combined Theory Archetype) and Module II (The Operational Assessment Engine). Module I synthesizes phase-space field interaction topologies ({Ai} x {Bj}), cross-product tensor deformations under the Law of Tangible Orbital Containment (LTOC), and non-continuous space-time cell allocations. Module II operates as the analytical governing layer, mapping these physical configurations through the CIT-Verse Coupling Matrix (Gamma_CIT) under the rules of the Transitional State-to-State Process (TSSP). By tracking boundary degradation and adaptation parameters side-by-side with standard scientific proxies, this synthesis mathematically models the critical threshold envelope where structural coupling failure induces directional field inversions. The resulting localized puncture-ignition event executes an autonomous regional cosmic expansion (the local Big Bang), providing a deterministic proof of a perpetual cosmic materials lifecycle that preserves geometric equilibrium across the open cosmos. Included in this deposit is the full 16-page LaTeX compiled manuscript along with a complete standalone Python validation pipeline that simulates the multi-axis matrix trace metrics, proving that extreme localized compaction boundaries undergo deterministic topological inversions. Keywords TDH Theory Universal Hybrid Regime Law of Tangible Orbital Containment (LTOC) Multi-Verse Threshold Theory (MVTT) CIT-Verse Coupling (Combined Intangible Tangible -Verse) Asymptotic Decoupling Local Big Bang Tensor Matrices Related Works/Identifiers Mapping 1. Relation to Volume I Core Framework: Identifier: 10.5281/zenodo.23406508 Relation: isNewVersionOf (or Continues) Resource Type: Preprint 2. Relation to Vector Axis (Multi-Field Mechanics): Identifier: 10.5281/zenodo.23274962 Relation: compiles (or isSupplementedBy) Resource Type: Preprint 3. Relation to Topological Axis (MVTT Grid Cells): Identifier: 10.5281/zenodo.23283910 Relation: compiles (or isSupplementedBy) Resource Type: Preprint 4. Relation to Cross-Volume Bridge (Grand Unified Supplemental): Identifier: 10.5281/zenodo.23284354 Relation: isCompiledBy Resource Type: Preprint