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URL:https://uwaterloo.ca/combinatorics-and-optimization/events/algebraic-an
 d-enumerative-combinatorics-arad-nasiri
SUMMARY:Algebraic and Enumerative Combinatorics - Arad Nasiri
CLASS:PUBLIC
DESCRIPTION:TITLE: Combinatorial Action in Causal Set Quantum Gravity \n\nS
 PEAKER:\n Arad Nasiri\n\nAFFILIATION:\n Imperial College London and Perime
 ter Institute\n\nLOCATION:\n MC 5479\n\nABSTRACT: In this talk\, I will fi
 rst provide a brief overview of\ncausal set theory\, an approach to quantu
 m gravity. This theory\nproposes that spacetime is fundamentally character
 ized by a partially\nordered set (poset)\, in which the partial order repr
 esents causal\nrelations and the number of elements signifies the volume o
 f a\nspacetime manifold region. I will then discuss how efforts to find a\
 ndiscrete counterpart of the d'Alembertian operator on a poset led to\nthe
  formulation of the causal set action S_BDG. This action is defined\nas a 
 linear combination of the counts of various order intervals.\nFurther anal
 ysis has shown that while KR posets are predominant in the\nnumber of pose
 ts of size n\, the quantum dynamics imposed by S_BDG\nsuppresses them for 
 large n. Finally\, I will propose a method to\nderive the combinatorial an
 alogue of Einstein's field equations on\nposets.
DTSTAMP:20260404T183052Z
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