- #1

- 24,775

- 792

Which do you think are the main quantum geometry (QG) lines recently appearing to rival Loop? Do any look especially promising to you? Any favorites? Here are some to consider. The authors shown aren't a complete list! Just enough for an arxiv search:

[Colored] tensor models (e.g. Gurau, Ryan, ...)

Cellular quantization (Bonzom, Smerlak)

Shape dynamics (Koslowski, Gomes, ...)

AsymSafe (Saueressig, Reuter, ...)

For the purposes of this thread, to qualify as QG the central object of study should be the geometry of a 4D spacetime region or slice thereof, mathematically realized as a quantum state of geometry. The theory should be clearly background independent.

I'm not sure that AsymSafe QG qualifies as fully background independent--that's something for us to discuss and decide what we think. As I recall there's some recent work indicating it might be.

These theories are work in progress and are sufficiently similar to Loop QG that one can expect them to have

I'll get some links. See how it looks to you.

[Colored] tensor models (e.g. Gurau, Ryan, ...)

Cellular quantization (Bonzom, Smerlak)

Shape dynamics (Koslowski, Gomes, ...)

AsymSafe (Saueressig, Reuter, ...)

For the purposes of this thread, to qualify as QG the central object of study should be the geometry of a 4D spacetime region or slice thereof, mathematically realized as a quantum state of geometry. The theory should be clearly background independent.

I'm not sure that AsymSafe QG qualifies as fully background independent--that's something for us to discuss and decide what we think. As I recall there's some recent work indicating it might be.

These theories are work in progress and are sufficiently similar to Loop QG that one can expect them to have

**testable**predictions about early universe cosmology. Each should say something that can be confronted with observation. That's a question to discuss case by case, and resolve if we can.I'll get some links. See how it looks to you.

Last edited: