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PreprintCC BY 4.0Zenodo

Theory of the TDH — Perpetually Creation and Evolution of the Universe: The Universal Hybrid Regime Framework - Volume III: Spacetime Kinetic Singularities and Autonomous Localized Cosmic Loops (Version 3.0)

  1. 1Independent Researcher

Abstract

Title

Theory of the TDH — Perpetually Creation and Evolution of the Universe: The Universal Hybrid Regime Framework - Volume III: Spacetime Kinetic Singularities and Autonomous Localized Cosmic Loops (Version 3.0)

Version

3.0

Date of Publication

2026-10-17

Authors

Thai, Hau Dinh (TDH)

(Pen-names: TDH, or H.D Thai, or Thomas H. D. Thai, or Thomas Thai, and Thái Đình Hầu (Vietnamese name))

Affiliation

Independent Researcher

(Scientifically Theoretical Architect)

Description/Abstract

This volume formalizes the high-energy boundary mechanics and non-linear metric transformations that govern the transition from localized spacetime singularities into outward cosmological expansions. By introducing the Gravitational Transgression Operator (Γ), we provide a geometric proof showing how static geodesics morph into accelerating kinetic loops under extreme field compression profiles. To prevent standard mathematical infinity states, we introduce the Radiative Runaway Operator (⇝R) to model continuous energy venting through closed spatial boundary horizons. Finally, we derive the Metric Expansion Ignition Equation to isolate the absolute mathematical threshold under which accumulated kinetic loops violently invert into a macroscopic expansion cascade, establishing an independent, expanding cosmic offspring lineage (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 multi-agent field interventions, non-linear coupled differential networks, and global continuum stability limits verified in Volume II: Multi-Agent Populations and Assimilation Networks (Version 2.0). The mathematical transformations and thermodynamic boundaries derived herein directly succeed, patch, and complete the fundamental cosmic life cycles historically filed across Zenodo Records 3.0 through 3.3 under the legacy tracking metrics of the TDH-UHR.roi system.

Keywords

TDH Theory

Universal Hybrid Regime

Gravitational Transgression

Radiative Runaway

Volumetric Ignition

Spacetime Singularities

Cosmic Loops (Autonomous Localized Cosmic Loops)

Thai Dinh Hau

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BibTeX
@misc{thai2026theory,
  title = {{Theory of the TDH — Perpetually Creation and Evolution of the Universe: The Universal Hybrid Regime Framework - Volume III: Spacetime Kinetic Singularities and Autonomous Localized Cosmic Loops (Version 3.0)}},
  author = {Hau Dinh Thai},
  howpublished = {Zenodo},
  year = {2026},
  month = oct,
  doi = {10.5281/zenodo.23442993},
  url = {https://zenodo.org/records/23442993},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Theory of the TDH — Perpetually Creation and Evolution of the Universe: The Universal Hybrid Regime Framework - Volume III: Spacetime Kinetic Singularities and Autonomous Localized Cosmic Loops (Version 3.0)
AU  - Hau Dinh Thai
PY  - 2026
DA  - 2026/10/17
PB  - Zenodo
DO  - 10.5281/zenodo.23442993
UR  - https://zenodo.org/records/23442993
AB  - Title  Theory of the TDH — Perpetually Creation and Evolution of the Universe: The Universal Hybrid Regime Framework - Volume III: Spacetime Kinetic Singularities and Autonomous Localized Cosmic Loops (Version 3.0)  Version  3.0  Date of Publication  2026-10-17  Authors  Thai, Hau Dinh (TDH)  (Pen-names: TDH, or H.D Thai, or Thomas H. D. Thai, or Thomas Thai, and Thái Đình Hầu (Vietnamese name))  Affiliation  Independent Researcher  (Scientifically Theoretical Architect)  Description/Abstract  This volume formalizes the high-energy boundary mechanics and non-linear metric transformations that govern the transition from localized spacetime singularities into outward cosmological expansions. By introducing the Gravitational Transgression Operator (Γ), we provide a geometric proof showing how static geodesics morph into accelerating kinetic loops under extreme field compression profiles. To prevent standard mathematical infinity states, we introduce the Radiative Runaway Operator (⇝R) to model continuous energy venting through closed spatial boundary horizons. Finally, we derive the Metric Expansion Ignition Equation to isolate the absolute mathematical threshold under which accumulated kinetic loops violently invert into a macroscopic expansion cascade, establishing an independent, expanding cosmic offspring lineage (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 multi-agent field interventions, non-linear coupled differential networks, and global continuum stability limits verified in Volume II: Multi-Agent Populations and Assimilation Networks (Version 2.0). The mathematical transformations and thermodynamic boundaries derived herein directly succeed, patch, and complete the fundamental cosmic life cycles historically filed across Zenodo Records 3.0 through 3.3 under the legacy tracking metrics of the TDH-UHR.roi system.  Keywords  TDH Theory  Universal Hybrid Regime  Gravitational Transgression  Radiative Runaway  Volumetric Ignition  Spacetime Singularities  Cosmic Loops (Autonomous Localized Cosmic Loops)  Thai Dinh Hau
ER  -