PIRSA:25020040 Scientific Series Quantum Gravity

DOI10.48660/25020040

Series: Quantum Gravity

Kouchekzadeh Yazdi, Y. (2025). Statistical Fluctuations in the Causal Set-Continuum Correspondence. Perimeter Institute. https://pirsa.org/25020040

Kouchekzadeh Yazdi, Yasaman. Statistical Fluctuations in the Causal Set-Continuum Correspondence. Perimeter Institute, Feb. 21, 2025, https://pirsa.org/25020040 

@misc{ pirsa_PIRSA:25020040,
  doi = {10.48660/25020040},
  url = {https://pirsa.org/25020040},
  author = {Kouchekzadeh Yazdi, Yasaman},
  keywords = {Quantum Gravity},
  language = {en},
  title = {Statistical Fluctuations in the Causal Set-Continuum Correspondence},
  publisher = {Perimeter Institute},
  year = {2025},
  month = {feb},
  note = {PIRSA:25020040 see, \url{https://pirsa.org}}
}

Abstract

Causal set theory is an approach to quantum gravity that proposes that
spacetime is fundamentally discrete and the causal relations among the
discrete elements play a prominent role in the physics. Progress has
been made in recognizing and understanding how some continuumlike
features can emerge from causal sets at macroscopic scales, i.e., when
the number of elements is large. An important result in this context is
that a causal set is well approximated by a continuum spacetime if there
is a number-volume correspondence between the causal set and spacetime.
This occurs when the number of elements within an arbitrary spacetime
region is proportional to its volume. Such a correspondence is known to
be best achieved when the number of causal set elements is randomly
distributed according to the Poisson distribution. I will discuss the
Poisson distribution and the statistical fluctuations it induces in the
causal set-continuum correspondence, highlighting why it is important
and interesting. I will also discuss new tools and techniques that
facilitate such analyses.

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