Noncommutative Geometry and Physics

Noncommutative Geometry and Physics

 

Saturday Sep 12, 2015
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Saturday Sep 12, 2015
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Saturday Sep 12, 2015
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We consider the spectral action as an action functional for modified gravity on a spacetime that exhibits a fractal structure modeled on an Apollonian packing of 3-spheres (packed swiss cheese) or on a fractal arrangements of dodecahedral spaces. The contributions in the asymptotic expansion of the spectral action, that arise from the real poles of the zeta function, include the Einstein-Hilbert action with cosmological term and conformal and Gauss-Bonnet gravity terms.

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Saturday Sep 12, 2015
Scientific Areas: