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27/11/2024, 16:00
In some theories of quantum gravity spacetime is assumed to have an underlying structure from which spacetimes arise as an approximation. In these theories it is important to show that the spacetime arising from the underlying structure is approximately isometric to General relativity spacetime in the classical limit. We will discuss how one can measure how close two spacetimes are from being...
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27/11/2024, 17:00
Spectral geometry offers a powerful means to describe the geometric information of manifolds using the spectra of operators defined on them. While much work has been done on the spectral geometry of Riemannian manifolds, comparatively little work has been done on Lorentzian manifolds. Causal sets, being a discrete realization of Lorentzian manifolds, provide an ideal setting for such a...
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27/11/2024, 18:00
A poset P is a set X equipped with a partial order. A causal set is a locally finite poset, which was introduced to model the space-time universe in physics. In this talk I will briefly review the literature of different models on random orders and their relations to causal set theory. Then we focus on an open problem proposed by Erdos on the evolution of the dimensions of random graph orders....
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