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This research investigates the emergence of spacetime and gravitational structures from pure gauge-field dynamics.

July 7, 2026Open Access

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

Key Points

This research investigates the emergence of spacetime and gravitational structures from pure gauge-field dynamics.
Conducted a benchmark experiment with $N=2048$ and degree $k=16$ in $SU(3)$ framework.
Analyzed geometry using causal-foliation window with parameters like $R_{span}=4$.
Employed 5-step RG flow for scale-persistent fractal structure verification.
Fractal dimensions $d_H \approx 2.570$ and $d_s \approx 1.849$ observed with topology-only metrics.
Emergent causal light cone characterized by $R^2=0.897$ and $c_{eff}=0.0024$.
Evidence of an Einstein-Hilbert-consistent gravity signature with highly significant p-values.

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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