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URL:/combinatorics-and-optimization/events/algebraic-an
 d-enumerative-combinatorics-arad-nasiri
SUMMARY:Algebraic and Enumerative Combinatorics - Arad Nasiri
CLASS:PUBLIC
DESCRIPTION:Summary \n\nTITLE: Combinatorial Action in Causal Set Quantum G
 ravity \n\nSPEAKER:\n Arad Nasiri\n\nAFFILIATION:\n Imperial College Londo
 n and Perimeter Institute\n\nLOCATION:\n MC 5479\n\nABSTRACT: In this talk
 \, I will first provide a brief overview of\ncausal set theory\, an approa
 ch to quantum gravity. This theory\nproposes that spacetime is fundamental
 ly characterized by a partially\nordered set (poset)\, in which the partia
 l order represents causal\nrelations and the number of elements signifies 
 the volume of a\nspacetime manifold region. I will then discuss how effort
 s 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 de
 fined\nas a linear combination of the counts of various order intervals.\n
 Further analysis has shown that while KR posets are predominant in the\nnu
 mber of posets of size n\, the quantum dynamics imposed by S_BDG\nsuppress
 es them for large n. Finally\, I will propose a method to\nderive the comb
 inatorial analogue of Einstein's field equations on\nposets.\n 
DTSTAMP:20250517T004915Z
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