TDH-UHR.roi: A Unified Hybrid Regime Framework for Existence, Interaction, Transition, Adaptation, and Survivability (Version 2.0: Constitutional Manuscript)
Year: 2026
Type: preprint
Abstract: Title TDH-UHR.roi (Unified Hybrid Regimes) Version 3.2: Hybrid Integrity, Survivability, Adaptation, and Contextual Outcomes Version 3.2 Publication Date: 2026-09-30 Author Hau Dinh Thai (TDH) Affiliation Independently, scientifically theoretical researcher/architect License: CC BY 4.0 International Acknowledgment: AI-assisted drafting and analytical support: ChatGPT (OpenAI). Description / Abstract TDH–UHR.roi Version 3.2 develops a bounded mathematical-assessment layer for the integrity, interference, conditional hybridization, survivability, adaptation, recovery, degradation, collapse, and contextual outcomes of declared regimes and hybrid configurations. It extends, but does not alter or duplicate, the state, configuration, interaction, bounded-exchange, transition, persistence, and topology-change mathematics established in Version 3.1. The manuscript treats integrity and outcomes as context-, observer-, and scale-dependent assessments rather than universal scalar properties or predictions. It provides a bounded tangible–intangible–environmental three-regime demonstration and a simple food-processor illustration to clarify the framework's conceptual logic. The demonstration and illustration are not empirical evidence or universal models. All relations in Version 3.2 have V1 status: formal, context-dependent assessment constructions. Mathematical coherence alone is not empirical validation. Any real-domain application must declare its boundary, scale, context, observables, baseline, assumptions, uncertainty, evidence route, alternative explanations, and non-applicability conditions. A proposed Tangible–Intangible (CIT) coupling must identify a lawful tangible carrier/interface and an observable realization pathway. The work makes noclaim of a universal TDH law, automatic causation, cross-domain prediction, or replacement for specialist science. Keywords TDH-UHR.roi; Unified Hybrid Regime; hybrid reality; hybrid existence; regime interaction; regime transition; hybrid integrity; mixed integrity; survivability; adaptation; recovery; degradation; collapse; contextual outcomes; interference; nonlinear systems; systems theory; complex systems; interdisciplinary research; mathematical framework. Subjects Mathematical physics; complex systems; systems theory; interdisciplinaryresearch; philosophy of science. Related identifiers Is a new version of: TDH–UHR.roi Version 3.1: State, Interaction, and Transition MathematicsDOI: 10.5281/zenodo.22758990 Files to upload related to this Version 3.2: 1. TDH-UHR-roi_Version-3.2_Hybrid-Integrity_Survivability_Adaptation_and_Contextual-Outcomes.pdf2. TDH-UHR-roi_Version-3.2_Zenodo-Package_2026-09-30.zip3. README_TDH-UHR-roi_Version-3.2.txt Package note:The ZIP contains the final PDF, LaTeX source, README, and final consistencyaudit. Version 3.3 is only a provisional future-work direction on nonlinearinteraction and threshold dynamics; it is not part of the Version 3.2 claim.
Author: Thai, Hau Dinh
Language: English
Topic: Complex Systems and Dynamics
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7161040976
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