Matroidal Connectivity and Tutte-Invariant Stability in Relativistic Hypergraphs: Optimizing Galactic Supply Chain Resilience Against Stochastic Topology-Decoherence Events
Year: 2025
Type: article
Abstract: Mathematical Applications of Science Fiction We present a rigorous rigorous framework for analyzing the structural resilience of trans-galacticsupply chains modeled as relativistic hypergraphs subject to stochastic topology-decoherence events(STDEs). By generalizing the Tutte polynomial to Lorentzian manifolds equipped with a causal struc-ture, we derive a new class of topological invariants—the Causal Tutte Invariants—which quantifythe stability of matroidal connectivity under random edge-deletion processes induced by spacetimeshear. We introduce the concept of the Hyper-Lorentzian Matroid ML(H) and prove that the globalresilience of the supply network is strictly monotonic with respect to the coefficients of the generalizedTutte polynomial evaluated at the critical decoherence hypersurface. Furthermore, we establish theBelacqua-Tutte Stability Theorem, providing a sufficient condition for the persistence of homologicalflow in the presence of non-unitary decoherence operators. The results have immediate applicationsin optimizing logistics across superluminal jump-gate networks where topological consistency is notguaranteed.
Authors: Revista, Zen, MFC, 10
Language: English
Subfield: Strategy and Management
Domain: Social Sciences
Open Access status: green
OpenAlex ID: W7117703663
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