# 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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