- #181
setAI
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thanks Marcus- nice to see Max T pushing his IMNSHO very important Multiverse ideas further-
The Third Road to Quantum Gravity
- Context: Graduate
- Thread starter setAI
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Discussion Overview
The discussion centers on the exploration of a potential "Third Road" to Quantum Gravity (QG), particularly through the lens of Black Hole Thermodynamics and its implications for future research. Participants consider the impact of the Large Hadron Collider (LHC) on the field, the intersection of category theory with QG, and the philosophical underpinnings of these ideas.
Discussion Character
- Exploratory
- Technical explanation
- Conceptual clarification
- Debate/contested
Main Points Raised
- Some participants propose that the LHC's potential discovery of micro black holes could significantly advance the study of Black Hole Thermodynamics, potentially overshadowing string theory and loop quantum gravity (LQG).
- Others argue that black holes may serve as ultimate quantum computers, referencing Seth Lloyd's work on the computational universe.
- A participant suggests that Lee Smolin's ideas about black holes as sources of universes trace back to earlier concepts by Bekenstein.
- There is a suggestion for a new master thread on "Categories, Gravity and Logic" to better organize discussions on the intersection of category theory and QG.
- Some participants discuss the relevance of category theory in understanding fundamental concepts in QG, emphasizing its interdisciplinary nature and the need for a unified language to discuss logic, geometry, and computation.
- A later reply introduces the idea that General Relativity itself has category theoretic aspects, questioning the necessity of traditional manifold concepts in physics.
Areas of Agreement / Disagreement
Participants express a variety of viewpoints regarding the implications of black holes for QG, the role of category theory, and the relevance of traditional physics concepts. No consensus is reached on the superiority of one approach over another, and multiple competing views remain.
Contextual Notes
Participants acknowledge the complexity of the ideas discussed, including the need for further exploration of category theory's role in QG and the philosophical implications of these theories. Limitations in definitions and assumptions are noted, particularly regarding the application of category theory to physical concepts.
- #182
Kea
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Just a reminder that the neutrino mass predictions are available on Carl's website at
http://carlbrannen.blogspot.com/
http://carlbrannen.blogspot.com/
- #183
marcus
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Kea, is this of interest to "Third-roadies"?
Scott Morrison is an Australian who just did his PhD in Berkeley under Vaughn Jones.
http://arxiv.org/abs/0704.1503
It is about describing all representations of the Quantum Group SLn
and in particular he confirms a conjecture of Kim about the quantum
LieAlgebra sl4
He handles the problem catty-functishly.
He also cites Wikipedia articles in his PhD thesis bibliography which seems to me like an Australian thing to do. It struck me as good and cheerful work.
Greg Kuperberg supplied the problem (UC Davis is only 50 miles northwards up the pike). I would be pleased if you told me that Scott's thesis might be of some worldly (physical) good.
Scott Morrison is an Australian who just did his PhD in Berkeley under Vaughn Jones.
http://arxiv.org/abs/0704.1503
It is about describing all representations of the Quantum Group SLn
and in particular he confirms a conjecture of Kim about the quantum
LieAlgebra sl4
He handles the problem catty-functishly.
He also cites Wikipedia articles in his PhD thesis bibliography which seems to me like an Australian thing to do. It struck me as good and cheerful work.
Greg Kuperberg supplied the problem (UC Davis is only 50 miles northwards up the pike). I would be pleased if you told me that Scott's thesis might be of some worldly (physical) good.
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- #184
Kea
- 859
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marcus said:
Why, thanks, Marcus. Yes, I highly recommend Scott's work. Actually, I met Scott in Taipa in the north island last year. He came with Vaughn Jones and Mike Freedman and gang for a kiwi maths conference with a lot of quantum computation lectures. I learned a lot.
