Evolving fuzzy CPn and lattice n-simplex
Naoki Sasakura
Abstract
Generalizing the previous works on evolving fuzzy two-sphere, I discuss evolving fuzzy CPn by studying scalar field theory on it. The space-time geometry is obtained in continuum limit, and is shown to saturate locally the cosmic holographic principle. I also discuss evolving lattice n-simplex obtained by `compactifying' fuzzy CPn. It is argued that an evolving lattice n-simplex does not approach a continuum space-time but decompactifies into an evolving fuzzy CPn.
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