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Fractal Structure of Loop Quantum Gravity

2 Pith papers cite this work. Polarity classification is still indexing.

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abstract

In this paper we have calculated the spectral dimension of loop quantum gravity (LQG) using simple arguments coming from the area spectrum at different length scales. We have obtained that the spectral dimension of the spatial section runs from 2 to 3, across a 1.5 phase, when the energy of a probe scalar field decrees from high to low energy. We have calculated the spectral dimension of the space-time also using results from spin-foam models, obtaining a 2-dimensional effective manifold at hight energy. Our result is consistent with other two approach to non perturbative quantum gravity: causal dynamical triangulation and asymptotic safety quantum gravity.

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gr-qc 2

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2026 1 2022 1

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representative citing papers

Cosmology of fractional gravity

gr-qc · 2026-04-30 · unverdicted · novelty 7.0

Fractional gravity yields stable de Sitter expansion and exact bouncing solutions driven by phantom (w < -1) or ghost (negative energy) fluids, with results independent of the form-factor representation.

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