Difference between LQC and Causal Sets

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Discussion Overview

The discussion focuses on the differences between Causal Set Theory (CST) and Loop Quantum Gravity (LQG), particularly regarding their conceptual foundations and the nature of spacetime. Participants explore whether spacetime is fundamental or emergent in these theories and how each theory conceptualizes the discreteness of spacetime at a quantum level.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • Some participants note that both CST and LQG propose that spacetime is discrete, made up of "atoms" or "grain."
  • One participant explains that CST is based on partially ordered causal sets, which encode causality through a chronological order of events, while LQG is based on spin networks composed of nodes and links with quantum properties.
  • It is mentioned that both CST and LQG assume spacetime is fundamental rather than emergent.
  • A later reply introduces Causal Dynamical Triangulation, which posits that spacetime consists of simplexes, suggesting another approach to the nature of spacetime.

Areas of Agreement / Disagreement

Participants generally agree on the discrete nature of spacetime in both theories and the fundamental status of spacetime, but the discussion remains unresolved regarding the implications and conceptual differences between CST and LQG.

Contextual Notes

The discussion does not resolve the implications of the fundamental versus emergent nature of spacetime, nor does it clarify the specific mathematical structures or assumptions underlying each theory.

Who May Find This Useful

Readers interested in theoretical physics, particularly in quantum gravity, spacetime theories, and the foundations of modern physics may find this discussion relevant.

windy miller
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Ive read that Casual Set theory says that spacetime is made of spacetime atoms. But doesn't LQG says something similar? Or is just space atoms in LQG? A laypersons expansion fo the main difference would be very much appreciated?
Also does Cause Set theory assume spacetime is fundamental rather than emergent?
Many thanks
 
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I will try to explain main differences between Causal Set Theory (CST) and LQG. First of all, both proposals "predict" that spacetime at the fundamental (quantum) level is discrete - in other words made up from "grain", "atoms". However, from conceptually point of view these theories are different. CST essentials are partially ordered causal sets (causal posets) i.e. sets of events with some chronological order. Those posets encode causality and since they are locally finite - discreteness (finite volumes of continuum contain finite amount of elements of the causal set).
On the other hand, LQG assumes that spacetime at the fundamental level is composed from spin networks - nodes and links with assigned quantum properties - spacetime will be discrete and built from "chunks".

CST just like LQG assumes that spacetime is fundamental (but discrete), so gravity/spacetime isn't an emergent phenomena.
 
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thanks for this, much appreciated.
 
windy miller said:
thanks for this, much appreciated.
There is also Causal dynamical triangulation where spacetime is made of simplexes(higher dimensional triangles).
 
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