| Speaker:
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Prof. Manfred Droste
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Title: |
Universal homogeneous causal sets |
| Abstract: |
Causal sets are particular partially ordered sets which have been
proposed as a basic model for discrete space-time in quantum gravity.
We show that the class C of all countable past-finite causal sets
contains a unique causal set (U,<) which is universal (i.e., any
member
of C can be embedded into (U,<)) and homogeneous (i.e., (U,<)
has maximal degree of symmetry). Moreover, we give a probabilistic
construction of causal sets which produces, with probability 1,
a causal set isomorphic to (U,<). Moreover, (U,<) can also be
constructed explicitly. In contrast, we show that the class of all
countable causal sets does not contain a universal object.
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| Talk: |
Transparencies, Recorded Talk
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