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May 17, 20260 citationsOpen Access

Entropic Dark Energy and Metric Expansion in Fixed-N Topological Vacua

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YCYaniv Cohen

Key Points

  • This research aims to explore how entropic dark energy influences metric expansion in a fixed-node cosmological structure.
  • Examined mean shortest-path distances between dominant dark halos in fixed-node models with `N=1024` and control `N=256`.
  • Analyzed correlations between scale factors and dark halo distances using graph-theoretic methods.
  • Observed mean shortest-path distance increase from `3.167` to `3.333`, leading to a final scale factor of `1.053`.
  • The long `N=1024` run showed a weak positive correlation `r(S,a) ≈ 0.1144`, indicating possible vacuum-driven expansions.

Abstract

In the fixed-node `N=1024` QGEFT universe, the mean shortest-path distance between the four dominant dark halos increases from `d0 ≈ 3. 167` to `dfinal ≈ 3. 333`, yielding a graph-theoretic cosmological scale factor `afinal ≈ 1. 053` with transient peaks `aₘax ≈ 1. 105`. A short `N=256` control remains contraction-dominated with `r (S, a) ≈ -0. 9997`, while the long `N=1024` run flips to a weak but positive correlation `r (S, a) ≈ 0. 1144`, supporting a vacuum-driven entropic metric expansion in a strictly fixed-`N` topology.

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Cite This Study

Yaniv Cohen (2026) studied this question.

synapsesocial.com/papers/6a095c5d7880e6d24efe27d8https://doi.org/10.5281/zenodo.20201194
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