Quantizing Geometry or Geometrizing the Quantum?

  • Context: Graduate 
  • Thread starter Thread starter inflector
  • Start date Start date
  • Tags Tags
    Geometry Quantum
Click For Summary
SUMMARY

The discussion centers on the concept of quantizing gravity and whether geometrical laws may be more fundamental than quantization procedures. Benjamin Koch's paper proposes that quantum mechanics could emerge from a classical geometrical framework, challenging traditional views within the quantum gravity community. The conversation highlights the significance of emergent quantum mechanics, referencing contributions from various physicists, including t'Hooft and Baez, who explore the relationship between geometry and quantum events. Participants express interest in the implications of these ideas and seek further literature on the topic.

PREREQUISITES
  • Understanding of quantum gravity concepts
  • Familiarity with emergent quantum mechanics
  • Knowledge of classical geometry principles
  • Awareness of Bayesian probability theory and its applications
NEXT STEPS
  • Research "Emergent Quantum Mechanics" and its implications in current physics
  • Explore "Information Physics" and its foundational principles
  • Investigate "Gravity as an Entropic Force" by Erik Verlinde
  • Read "On the Geometrization of Matter by Exotic Smoothness" by Torsten Asselmeyer-Maluga
USEFUL FOR

Physicists, researchers in quantum gravity, and anyone interested in the intersection of geometry and quantum mechanics will benefit from this discussion.

inflector
Messages
344
Reaction score
2
From the "Intuitive content of Loop Gravity--Rovelli's program" thread:
MTd2 said:
http://arxiv.org/abs/1004.2879

Quantizing Geometry or Geometrizing the Quantum?

Bejamin Koch
(Submitted on 16 Apr 2010)
The unsatisfactory status of the search for a consistent and predictive quantization of gravity is taken as motivation to study the question whether geometrical laws could be more fundamental than quantization procedures. In such an approach the quantum mechanical laws should emerge from the geometrical theory. A toy model that incorporates the idea is presented and its necessary formulation in configuration space is emphasized.

From the paper:
Given the problems in applying the laws of quantum mechanics to the geometry of space-time we want to ask the following question:
“Could it be that (classical) geometry is more fundamental than the rules of quantization?”

I haven't seen any discussion of this paper here or the approach: starting with the proposition that geometry is fundamental with quantum mechanics being emergent.

Koch does show how others have proposed emergent quantum mechanics:
The idea that quantum mechanics might not be fundamental but rather emerge from an underlying classical system has been proposed in various ways.

He then goes on to list papers by many other physicists who have proposed an emergent quantum mechanics.

How seriously is this idea being taken within the quantum gravity community? Does anyone know of any other papers that are approaching quantum gravity in this way?
 
Physics news on Phys.org
Has anyone (besides MTd2 obviously) read the paper? What did you think of it?
 
Well, t'Hooft made a proposal of QM based on a classical dissipative system. But there are problems in coming up with a QFT version, but I am not sure.
 
No one else finds the paper interesting?
 
inflector said:
No one else finds the paper interesting?
I do. :smile:
 
Kevin Knuth 27 Sept.2010:
In the last decade, our fundamental understanding of probability theory has led to a Bayesian revolution. In addition, we have come to recognize that the foundations go far deeper and that Cox's approach of generalizing a Boolean algebra to a probability calculus is the first specific example of the more fundamental idea of assigning valuations to partially-ordered sets. By considering this as a natural way to introduce quantification to the more fundamental notion of ordering, one obtains an entirely new way of deriving physical laws. I will introduce this new way of thinking by demonstrating how one can quantify partially-ordered sets and, in the process, derive physical laws. The implication is that physical law does not reflect the order in the universe, instead it is derived from the order imposed by our description of the universe. Information physics, which is based on understanding the ways in which we both quantify and process information about the world around us, is a fundamentally new approach to science.
http://arxiv.org/abs/1009.5161

Koch's geometry may be derived from the notion of ordering of the quantum events. This ordering creates the space-time.
Do you think is it possible ?
 
inflector said:
How seriously is this idea being taken within the quantum gravity community? Does anyone know of any other papers that are approaching quantum gravity in this way?

check out this thread, it debates Torsten's paper with himself being involved


https://www.physicsforums.com/showthread.php?t=412582


http://arxiv.org/abs/1006.2230
On the geometrization of matter by exotic smoothness
Torsten Asselmeyer-Maluga, Helge Rose
 
  • #11
Thanks qsa, those were interesting threads.
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
4K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 7 ·
Replies
7
Views
5K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 26 ·
Replies
26
Views
5K
Replies
2
Views
3K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 11 ·
Replies
11
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 6 ·
Replies
6
Views
3K