Theory of the TDH — Perpetually Creation and Evolution of the Universe: The Universal Hybrid Regime Framework - Volume II: Multi-Agent Populations and Assimilation Networks (Version 2.0)

Abstract

Title Theory of the TDH — Perpetually Creation and Evolution of the Universe: The Universal Hybrid Regime Framework - Volume II: Multi-Agent Populations and Assimilation Networks (Version 2.0) Version 2.0 Date of Submission 2026-10-17 Authors Thai, Hau Dinh (Pen-names: TDH, or Thomas H.D. Thai, or Thomas Thai, and Thái Đình Hầu (Vietnamese name) Affiliation Independent Researcher (Scientifically Theoretical Researcher/Architect) Description/Abstract This volume advances the Universal Hybrid Regime Framework from isolated binary interactions to large-scale populations distributed across an infinite domain Ω. We formalize the mathematical tensor structures required to govern the collective interventions of an arbitrary number of chaotic regimes {Ai} (i=1 to n) colliding with counter-chaotic baseline matrices {Bj} (j=1 to m). To scale these structures cleanly, we introduce multi-layered population coordinating fields and define the exact algebraic thresholds under which rising, higher-energy systems systematically dissolve or assimilate local surrounding vectors. Finally, we formalize the stability parameters that trigger structural hybridization, leading to the collapse of parent entities and the birth of entirely new offspring system lineages (R_Offspring). Historical Note & Cross-Reference:This text forms an essential consecutive link in the fresh master lineage tracking of the Theory of the TDH portfolio. It builds directly upon the local phase boundaries, miscible fluid dynamics, and unit-anchoring validations established in Volume I: Local Phase Topologies and Boundary Interfaces (Version 1.0). The algebraic structures and multi-agent coordination tensors derived herein directly succeed and expand the initial informational governance laws originally filed across historical Zenodo Records 3.0 through 3.3 under the legacy tracking metrics of the TDH-UHR.roi system. Keywords TDH Theory Universal Hybrid Regime (TDH-UHR) Multi-Agent Networks Metamorphic Consumption Thermodynamic Crystallization Axiomatic Interaction Thai Dinh Hau Law of Tangible Orbital Containments