- #1
Suekdccia
- 259
- 24
- TL;DR Summary
- Holographic principle in continuous spacetime?
Can the holographic principle be applied to spacetimes and metrics that are (fundamentally) continuous/smooth? Or only to discrete ones?
What do you mean by a "discrete" spacetime? Is that even a coherent concept?Suekdccia said:Or only to discrete ones?
I was referring to quantized spacetime (where it would not be a continuum)PeterDonis said:What do you mean by a "discrete" spacetime? Is that even a coherent concept?
Nobody has a working model of "quantized spacetime" so I have no idea what your implied claim in the OP that the holographic principle "works" for "discrete spacetime" is based on. Do you have any references?Suekdccia said:I was referring to quantized spacetime (where it would not be a continuum)
As mentioned, the holographic principle is a conjectured duality between QG and QFT. So it applies to canonically quantized quantum gravity, which is the closest thing to a discrete spacetime. But it's just a conjecture, so it doesn't mean much. The most explicit version of the duality applies to low energy limits of string theory, for which spacetime is continuous.Suekdccia said:I was referring to quantized spacetime (where it would not be a continuum)
Not really. It includes superpositions of different spacetime geometries, and I suppose the spectrum of such geometries could be discrete under certain conditions, but each individual geometry is still a continuous spacetime geometry.OlderWannabeNewton said:canonically quantized quantum gravity, which is the closest thing to a discrete spacetime
https://arxiv.org/abs/2209.14282 see section 2.3 in simplicial manifoldsPeterDonis said:Nobody has a working model of "quantized spacetime" so I have no idea what your implied claim in the OP that the holographic principle "works" for "discrete spacetime" is based on. Do you have any references?