Arkhon: Hamiltonian State Space Duality for Physics-Informed Multimodal World Models

% ==================== TITLE ==================== \title{ \includegraphics[width=\textwidth]{nano_bana_banner.png} \\[2ex] \textbf{Aksha: The World Model Network} \\[1ex] \large \textbf{A Holographic Framework for Sovereign Peer-to-Peer Intelligence} \\[1ex] \small \textit{Mathematical, Yajaxical, and Symplectic Foundations of the Global One Brain Network} } \author{ \textbf{Yani Meziani} \\ \href{mailto:yani@meziani.ai}{\texttt{yani@meziani.ai}} \\ \href{https://github.com/yanimeziani}{\texttt{github.com/yanimeziani}} \\ \href{https://linkedin.com/in/yanimeziani}{\texttt{linkedin.com/in/yanimeziani}} \\ \href{https://orcid.org/0009-0007-4348-8711}{ORCID: 0009-0007-4348-8711} \\ Independent AI Researcher, Québec (QC), Canada \\[2ex] \textit{Final Monograph: The Pioneer World Model Release} } \date{January 10, 2026} \begin{document} \maketitle \begin{abstract} We introduce \textbf{Aksha}, the first truly decentralized \textbf{World Model Network} based on a 1B parameter "Pioneer" architecture. Grounded in the \textbf{One Brain} guideline and mathematical principles of \textbf{Yajaxical} holographic dynamics, the system treats intelligence as a shared, energy-preserving flux rather than a static commodity. By leveraging \textbf{Hamiltonian State Space Duality} and a peer-to-peer (\textbf{P2P}) synchronization mechanism, Aksha ensures that no single entity owns the network while every participant benefits financially through the \textbf{Resonance Protocol}. We demonstrate that by treating the global latent state as a symplectic manifold, we can achieve massive-scale collaborative training that is immune to centralized control. This work pioneers the fusion of \textbf{Hierarchical Joint-Embedding Predictive Architecture (H-JEPA)}, symplectic integration, and decentralized consensus to create a persistent, anti-gravity-inspired cognitive infrastructure for the planet. \end{abstract} \tableofcontents \newpage