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July 7, 20260 citationsOpen Access

Spacetime Emergence, Causal Structure, and Local Gravity in QGEFT from Pure Gauge-Field Dynamics

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YCYaniv Cohen

Key Points

  • The analysis aims to investigate the emergence of spacetime and gravity using quantum gauge-field dynamics.
  • Evaluated dynamics at $N=2048$, degree $k=16$, $SU(3)$ under a causal-foliation window of $R_{span}=4$
  • Produced fractal geometry and causal light cones through simulations
  • Validated results via 5-step RG coarse-graining flow to confirm scale persistence.
  • Fractal geometry realized with dimensions: $d_H ext{ weighted } ext{ } ext{ } d_H ext{ topology-only }\approx 2.570 ext{ vs. } d_s \approx 1.849$
  • Emergent causal light cone showed $R^2=0.897$ and $c_{eff}=0.0024$
  • Einstein-Hilbert-consistent gravity signatures revealed significant statistical fit with $p < 10^{-104}$ for both triangle-Ricci and EH-action.

Abstract

The current Paper 69 benchmark does not claim that continuum general relativity or a complete quantum-gravity phenomenology has already been derived. It does show that, at N=2048, degree k=16, SU (3), under a moderate causal-foliation window (Rₒ₏₀₍=4), one production run simultaneously and reproducibly realizes fractal geometry (dH 2. 570 weighted / 2. 294 topology-only vs. dₛ 1. 849 weighted / 1. 903 topology-only), an emergent causal light cone (fit R²=0. 897, c₄₅₅=0. 0024, leakage =0. 0001), and an Einstein-Hilbert-consistent gravity signature (triangle-Ricci fit R²=0. 264, p2. 110^-138; EH-action fit R²=0. 206, p1. 110^-104), with the fractal structure confirmed scale-persistent via a 5-step RG coarse-graining flow (dₛ: 1. 851. 591. 240. 86).

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Cite This Study

Yaniv Cohen (2026) studied this question.

synapsesocial.com/papers/6a4c9711331bc25c9e5f4329https://doi.org/10.5281/zenodo.21204102
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