PSH-Coupling IV: Cosmological Anomalies, Empirical Validation and the Entropic Horizon - LaTeX Code Perservation
Hinweis zur Dualität
Dieses Werk wird als grundlegende Neubewertung der Raum-Zeit-Kosmologie sowie als technischer Rahmen für die Nutzung von Bulk-Energie präsentiert. Unter der Lizenz CC BY-SA 4.0 wird dieses Wissen zum gemeinsamen Erbe der Menschheit erklärt.
Notice of Duality
This work is presented as a fundamental re-evaluation of spacetime cosmology and a technical
framework for bulk-energy utilization. Licensed under CC BY-SA 4.0, this knowledge is declared
part of the common heritage of the human species.
\documentclass[11pt, a4paper]{article}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amsmath, amssymb, amsfonts}
\usepackage{geometry}
\usepackage{hyperref}
\usepackage{booktabs}
\geometry{left=25mm, right=25mm, top=25mm, bottom=25mm}
\title{\textbf{PSH-Coupling IV: Cosmological Anomalies, Empirical Validation and the Entropic Horizon}}
\author{
\textbf{Cord Uebermuth} \
\small Independent Researcher \
\small ORCID: \href{https://orcid.org/0000-0002-2638-5995}{0000-0002-2638-5995}
}
\date{\small 18 June 2026 \[0.5em] \textbf{Version 1.9} \ \small Zenodo Preprint}
\begin{document}
\maketitle
\section*{Notice of Duality}
\textit{Notice of Duality:} This work is presented as a fundamental re-evaluation of spacetime cosmology and a technical framework for bulk-energy utilization. Licensed under CC BY-SA 4.0, this knowledge is declared part of the common heritage of the human species. Its application is intended for the advancement and protection of life.
\section{Accelerated Structure Formation (The JWST Paradox)}
The detection of massive galaxies at $z > 10$ challenges $\Lambda$CDM. We define the effective potential as $\Psi_{eff} = \Psi_{N} (1 + \frac{\Xi_{IL}}{\Phi_{bulk}(z)})$. Applying the Poisson equation:
\begin{equation}
\nabla^2 \Psi_{eff} = 4\pi G \rho_{eff} \implies \rho_{eff} \approx \rho_{b} \cdot \exp\left( \mathcal{K} \cdot \frac{\Xi_{IL}}{\Phi_{bulk}} \right)
\end{equation}
This geometric catalysis explains the accelerated assembly of early structures.
\section{Thermodynamical Proof (The EDGES Anomaly)}
The EDGES 21-cm absorption profile \cite{bowman2018} requires an entropic transfer to the bulk-manifold. The potential $\Phi_{bulk}$ acts as a thermal heat sink, validating our energy exchange model.
\section{The BOAT Phenomenon and Geometric Discharge}
GRB 221009A represents a geometric phase transition. The observed energy $E_{obs}$ is defined by:
\begin{equation}
E_{RD} = \eta \int_{V} \left( \frac{\Phi_{bulk}}{\Xi_{IL}} \right) dV
\end{equation}
\section{Galactic Scale-Invariance and GRB Predictability}
The PSH-model demonstrates scale-invariance, meaning the $\Xi_{IL}$ criticality condition applies from terristical regions to galactic spiral arms. We identify high-stress "Resonance Nodes" within the Milky Way, particularly in the Perseus-Arm transition zones, where PSH-coupling is maximal.
\begin{equation}
\Delta t_{GRB} \approx \frac{\Xi_{IL} - \Phi_{local}}{\langle \dot{\Phi}_{bulk} \rangle}
\end{equation}
This allows for the mapping of geometric risk zones, transforming high-energy transients from stochastic events into predictable phase transitions.
\section{The Entropic Horizon}
The system approaches the \textit{Entropic Horizon}—the state where $\Phi_{bulk}$ is exhausted. This crisis, visible in cosmic void stability \cite{planck2020}, necessitates a transition to active geometric stewardship.
\section{Nomenclature and Acronyms}
\begin{tabular}{llp{7cm}}
\toprule
\textbf{Acronym} & \textbf{Term} & \textbf{Definition} \
\midrule
PSH & Primary Symbiotic Harmonic & Bulk-manifold coupling framework \
$\Xi_{IL}$ & Ilias-Lucida Threshold & Geometric decoherence limit \
$\Phi_{bulk}$ & Bulk Coupling Potential & Interaction potential \
$\rho_{eff}$ & Effective Density & PSH-enhanced baryonic mass density \
$E_{RD}$ & Resonance Discharge Energy & Geometric energy release \
GRB & Gamma-Ray Burst & High-energy transient event \
SGR & Soft Gamma Repeater & Low-energy PSH-resonance precursor \
$\mathcal{K}$ & Geo. Coupling Efficiency & Scale-invariant scaling parameter \
\bottomrule
\end{tabular}
% --- Acknowledgments ---
\section*{Acknowledgments}
The author thanks Gemini (Google AI) for valuable assistance in mathematical formulation, equation derivation, manuscript structuring, literature review, and for constructive discussions during the development of this theoretical framework. All figures were created with the support of Google AI. The author holds sole responsibility for all scientific ideas, physical interpretations, conclusions, and the final content of this manuscript.
\begin{thebibliography}{99}
\bibitem{uebermuth2025_fundamental} Cord Uebermuth. \textit{PSH-Coupling: The Fundamental Unified Field Theory}. Zenodo DOI: 10.5281/zenodo.20259583, 2025.
\bibitem{bowman2018} J. D. Bowman et al. "An absorption profile centred at 78 megahertz". \textit{Nature}, 555:67--70, 2018.
\bibitem{planck2020} Planck Collaboration. "Planck 2018 results. VI. Cosmological parameters". \textit{Astronomy & Astrophysics}, 641, A6, 2020.
\bibitem{zaccagnino2026} F. Zaccagnino et al. "Non-linear Dynamics in Phlegraean Fields: A 2026 Update". \textit{Geophysical Research Letters}, 53, 2026.
\end{thebibliography}
\end{document}