Ontology of Causal Dynamical Triangulation

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SUMMARY

The discussion centers on the Ontology of Causal Dynamical Triangulation (CDT) and its treatment of space and time, as explained by Sabine. CDT does not treat space and time on equal footing, which contradicts Einstein's principles of relativity, indicating a denial of the reality of spacetime. The finite size of triangles in CDT is described as a mathematical aid, raising questions about whether space is continuous or discrete within this framework. The connection to Hořava gravity further emphasizes the differing treatment of space and time in these theories.

PREREQUISITES
  • Understanding of Causal Dynamical Triangulation (CDT)
  • Familiarity with Einstein's theory of relativity
  • Knowledge of Hořava gravity concepts
  • Basic grasp of mathematical modeling in theoretical physics
NEXT STEPS
  • Research the principles of Causal Dynamical Triangulation (CDT)
  • Explore the implications of Hořava gravity on spacetime
  • Study the mathematical foundations of triangulation in theoretical physics
  • Investigate the philosophical implications of space being continuous versus discrete
USEFUL FOR

The discussion is beneficial for theoretical physicists, cosmologists, and students of advanced physics who are exploring the foundations of spacetime theories and the implications of different treatments of space and time.

TheHeraclitus
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TL;DR
Does CDT involve gravitons? How many dimensions? Presentism, Eternalism or Agnosticism about time?
Also, what does Sabine mean in this video by the sentence: (5:51 in the video)
It treats space and time differently which Einstein thought us not to do.

Thank you!
 
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TheHeraclitus said:
Also, what does Sabine mean in this video by the sentence:
It means that space and time are not treated on an equal footing. In other words, it's not manifestly relativistic covariant.
 
Demystifier said:
It means that space and time are not treated on an equal footing. In other words, it's not manifestly relativistic covariant.
So it denies the reality of Spacetime?
 
TheHeraclitus said:
So it denies the reality of Spacetime?
According to Sabine, yes.
 
Demystifier said:
According to Sabine, yes.
Interesting, that would make sense since Wikipedia says CDT is related to Hořava gravity where space and time are treated differently too.
I am also a bit confused about the nature of space in CDT. Sabine says finite size of the triangles is only a mathematical aid.
Does this mean space is continuous or discrete in CDT?
 

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