Dirac quantization of gravity e.g. GR in Ashtekar Variables

In summary, the conversation discusses the potential use of Dirac quantization for a classical theory of gravity, such as GR rewritten in Ashtekar Variables or other variations, as a viable approach to a theory of quantum gravity. It is suggested that while it may not be the final theory, it can still be a useful effective theory that approximates nonperturbative quantization. The need for a classical theory of gravity that lends itself well to Dirac quantization is also mentioned.
  • #1
kodama
978
132
I'd like this issue clarified

I understand that a full nonpertubative quantization of a yang mills gauge theory in 4D is unavailable.

is Dirac quantization of classical theory of gravity e.g GR rewritten Ashtekar Variables

Variables or some variation of the idea, a viable approach to a theory of quantum gravity, one that can be used to make useful physical predictions and as a tool to understanding quantum gravity.

it may not be the final theory of QG but it can still be a useful effective theory, one that approximates full nonpertubative quantization when that becomes available.

GR isn't the only possible classical theory of gravity. Dirac quantization of classical theory of any theory of gravity so long as it reproduces GR, i.e Nordstrom to SUGRA

perhaps what is needed is a classical theory of gravity that reproduces GR, but is written and formulated in a way that lends itself to be easily quantized via Dirac quantization

is a Dirac quantization of a classical theory of gravity, GR, GR rewritten in
Ashtekar Variables or some classical theory of gravity that reprodouces GR a viable approach to a useful theory of quantum gravity

theory of classical gravity that reproduces GR, but lends itself well to a successful Dirac quantization as an approach to nonpertubative quantum gravity.
 
Last edited:
Physics news on Phys.org
  • #2
For a start, you could put a question mark "?" here and there. A capital letter at the beginning of a sentence would also help.
 
  • Like
Likes Urs Schreiber

Related to Dirac quantization of gravity e.g. GR in Ashtekar Variables

1. What is the Dirac quantization of gravity?

The Dirac quantization of gravity is a mathematical framework used to quantize the theory of general relativity, which describes the behavior of gravity in terms of space-time curvature. It is based on the work of physicist Paul Dirac and involves using a set of mathematical variables called Ashtekar variables to represent the gravitational field.

2. How is the Dirac quantization of gravity different from other approaches to quantizing gravity?

The Dirac quantization of gravity differs from other approaches, such as string theory and loop quantum gravity, in that it does not require the introduction of new dimensions or structures beyond the four dimensions of space-time. Instead, it uses a mathematical framework that is similar to that of quantum mechanics to describe the behavior of gravity.

3. What are Ashtekar variables and how are they used in the Dirac quantization of gravity?

Ashtekar variables are a set of mathematical variables that are used to represent the gravitational field in the Dirac quantization of gravity. They include a connection variable, which describes the curvature of space-time, and a triad variable, which represents the geometry of space-time. These variables are used to construct a Hamiltonian, which is used to quantize the theory of general relativity.

4. What are the implications of the Dirac quantization of gravity for our understanding of the universe?

The Dirac quantization of gravity is still a theoretical framework and has not yet been fully tested or proven. However, if it is successful, it could potentially lead to a better understanding of the behavior of gravity at the smallest scales, such as in black holes and during the early stages of the universe. It may also provide a way to reconcile general relativity with quantum mechanics, which is a major goal in physics.

5. What are some current research efforts and challenges in the field of Dirac quantization of gravity?

Current research efforts in the field of Dirac quantization of gravity include developing more sophisticated mathematical techniques for studying the theory, as well as testing its predictions through experiments and observations. Some of the challenges in this field include the complexity of the mathematics involved, the difficulty in obtaining experimental evidence, and the need to reconcile the theory with other fundamental theories, such as quantum mechanics and the standard model of particle physics.

Similar threads

  • Beyond the Standard Models
Replies
2
Views
2K
  • Beyond the Standard Models
Replies
2
Views
2K
  • Beyond the Standard Models
Replies
7
Views
1K
  • Beyond the Standard Models
Replies
13
Views
2K
  • Beyond the Standard Models
2
Replies
60
Views
5K
  • Beyond the Standard Models
Replies
10
Views
978
Replies
2
Views
2K
  • Beyond the Standard Models
Replies
1
Views
3K
  • Beyond the Standard Models
Replies
17
Views
2K
  • Beyond the Standard Models
Replies
5
Views
2K
Back
Top