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A Time Dependent Graph Theoretic Model of Interacting Consciousness: The ”United States of the Earth (USE)”

Moninder Singh Modgil, Dnyandeo Dattatray Patil

preprint DOI: 10.20944/preprints202511.0473.v1 (opens in new tab)

Study at a glance

AI-extracted from the abstract
Characteristics Theoretical or philosophical paper
Key points Proposes a two-layer multiplex network model in which conscious entities are vertices of a micro-level "soul graph" coupled to a macro-level nation graph, with edges representing interactions. The authors argue that combining deterministic evolution laws with graph Laplacian operators can capture cyclical patterns of cooperation, fragmentation, and reunification across epochs, bridging spiritual narratives and mathematical formalism.

Abstract

We model conscient entities as vertices of a Graph; and its edges, as the interaction between the them. We further introduce a two-layer multiplex network structure coupling the micro-level soul graph with a macro-level nation graph, enabling the study of how individual interactions aggregate to shape inter-nation relationships, and conversely, how geopolitical events influence individual states. The model includes concepts such as cultural entanglement, and virtue field restoration, providing a unified graph-theoretic treatment of both spiritual and geopolitical evolution. By combining deterministic evolution laws with graph Laplacian operators, the model captures the cyclical patterns of cooperation, fragmentation, and reunification across epochs. This work not only bridges ancient spiritual narratives with modern mathematical formalisms but also lays the foundation for quantitative simulations of the socio-political dynamics of humanity across Time.