Introduction to the spectral scheme for spacetime physics - Seriu, Masafumi
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The spectral scheme is a framework for describing geometry of spaces in terms of the spectra of some elliptic operator. Its motto is "Let us hear the shape of the Universe!" Three central components are: (I) The spectral distance; (II) The space of spaces; (III) The spectral evolution equations. The basics of the spectral scheme along with some of its applications have been presented here. Some recent developments of the scheme, including the spectral representation of the Einstein-Hilbert action and its application to quantum spacetimes, have also been presented.

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Produktbeschreibung
The spectral scheme is a framework for describing geometry of spaces in terms of the spectra of some elliptic operator. Its motto is "Let us hear the shape of the Universe!" Three central components are: (I) The spectral distance; (II) The space of spaces; (III) The spectral evolution equations. The basics of the spectral scheme along with some of its applications have been presented here. Some recent developments of the scheme, including the spectral representation of the Einstein-Hilbert action and its application to quantum spacetimes, have also been presented.
Autorenporträt
Masafumi Seriu - Mathematical and Quantum Science Group, Division of Physical Science, Graduate School of Technology and Engineering, University of Fukui, Japan.