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June 3, 20260 citationsOpen Access

Emergent Gravity as Topological Geodesic Relaxation

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YCYaniv Cohen

Key Points

  • To explore the emergent nature of gravity as a result of topological geodesic relaxation in a lattice framework.
  • Analyzed a benchmark (N=128) in a degree 6, mass-degree 8 unified phase universe.
  • Evaluated the strongest peripheral geodesic bends toward mass sectors within a specified path on the lattice.
  • Calculated inward-deflection scores based on geodesic lengths and proximity to mass nodes.
  • Observed measurable geodesic bending toward the distinguished mass sector with a total length of 5.
  • Path 46 -> 40 -> 34 -> 84 -> 78 -> 108 approaches mass node 0 within 1 hop, with a deflection score of 2 hops.
  • Concluded that gravity-like geodesic bending results from mass-induced topological relaxation.

Abstract

The current Paper 43 benchmark does not claim that continuum Einstein gravity or a full lensing phenomenology has already been derived on a graph. It does show that, in the real scheduled `N=128`, degree `6`, mass-degree `8` Unified Phase 3 universe, the strongest selected peripheral geodesic bends measurably toward the distinguished mass sector. In the current reference run the path `46 -> 40 -> 34 -> 84 -> 78 -> 108` has total length `5`, approaches mass node `0` to within `1` hop, and yields an inward-deflection score of `2` hops relative to the nearer endpoint. The defensible conclusion is therefore that gravity-like geodesic bending emerges as a direct consequence of mass-induced topological relaxation in the live QGEFT lattice.

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Cite This Study

Yaniv Cohen (2026) studied this question.

synapsesocial.com/papers/6a1fc696dee9eb8c0dce78bchttps://doi.org/10.5281/zenodo.20484214
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