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April 30, 20260 citationsOpen Access

Priority Record: Discrete Topological Decoherence and Norm Conservation in d₀-Graph Quantum Systems

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MLMartin Lützel

Key Points

  • The research aims to establish a discrete framework for quantum decoherence using topological graph models.
  • Developed a discrete framework of quantum decoherence based on d0 topological graph model.
  • Mapped topological graph updates via algorithmic designs, demonstrating their relation to quantum logic gates.
  • Contrasted the new model with classical continuous-time decoherence formulations.
  • Reported fundamental departures from classical models of decoherence.
  • Established that decoherence can be interpreted as a countable geometric process rather than continuous time.
  • Demonstrated algorithmic mappings enhance understanding of environmental entanglement.

Abstract

This deposit serves as a priority record and proof-of-concept for a novel, discrete framework of quantum decoherence and error correction based on the d0 topological graph model. It documents the fundamental departure from classical continuous-time decoherence models (e−t) toward a strictly discrete, structurally quantized decay process. The uploaded material establishes intellectual priority for the algorithmic mapping of topological graph updates (Pachner moves) to quantum logic gates, demonstrating that decoherence is not a function of continuous time, but a countable geometric process of environmental entanglement.

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Cite This Study

Martin Lützel (2026) studied this question.

synapsesocial.com/papers/69f2a49d8c0f03fd677639cdhttps://doi.org/10.5281/zenodo.19840650
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