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July 7, 2026Open Access

T³ as a Closed Information-Processing Environment

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Authors

VMVladimer Merebashvili

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Implication

Randomized trial demonstrates vortex states' stability and noise rejection in topological systems, suggesting novel information processing.

Key Points

  • This research investigates the necessary mathematical conditions for T³ to operate as a stable information-processing system.
  • Derivation of mathematical structures required for stability and noise filtering.
  • Identification of five minimal requirements using topological properties of T³.
  • Analysis of vortex states and their stability within the framework of T³.
  • Established 26 discrete vortex states based on the first Betti number, with |w|² ≤ 3 for stability.
  • Identified unique mathematical conditions for laminar flow on compact flat manifolds.
  • Demonstrated two-level noise rejection mechanisms ensuring information integrity against disturbances.

Cite This Study

Vladimer Merebashvili (2026) studied this question.

synapsesocial.com/papers/6a4c9754331bc25c9e5f445dhttps://doi.org/10.5281/zenodo.21200822
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Also Consider

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  1. 1Exact Results on the Flat Three-Torus: Stable Winding States, Cascade Termination, Harmonic Flow, and Arithmetic Spectral Gaps — with an Information-Processing Analogy2026
  2. 2Topological Vortex Logic: Stable Winding States on the Three-Torus and Their Classification2026
  3. 3Topological Vortex Logic: Generation and Colour Structure from T³/Z₃2026
  4. 4Topological Vortex Logic: Stability, Root Systems, and Module Structure of Winding States on T³ with a Selected Z₃ Grading2026
  5. 5Exact Results on the Flat Three-Torus: Stable Winding States, Cascade Termination, Harmonic Flow, and Arithmetic Spectral Gaps — with an Information-Processing Analogy2026