Spectral dimension of a quantum universe

@article{Modesto2010SpectralDO,
  title={Spectral dimension of a quantum universe},
  author={Leonardo Modesto and Piero Nicolini},
  journal={Physical Review D},
  year={2010},
  volume={81},
  pages={104040}
}
In this paper, we calculate in a transparent way the spectral dimension of a quantum spacetime, considering a diffusion process propagating on a fluctuating manifold. To describe the erratic path of the diffusion, we implement a minimal length by averaging the graininess of the quantum manifold in the flat space case. As a result we obtain that, for large diffusion times, the quantum spacetime behaves like a smooth differential manifold of discrete dimension. On the other hand, for smaller… 

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