Utiyama reformulation of Gravity

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In summary, the conversation discussed finding a comprehensive introduction to Utiyama Mathematical reformulation of gravity. It was suggested to look at Chapter 3 of Quantum Field Theory by Lewis Ryder and two papers by Utiyama, one published in 1956 and the other in 1980. The second article was recommended as being more accessible. It was also mentioned that Utiyama was the first to point out the correspondence between gravity and non-Abelian gauge theory. A request for a pay-per-view link to the peer-reviewed articles was made.
  • #1
mhill
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could anyone tell me where i could find a comprehensive introduction to Utiyama Mathematical reformulation of gravity ? .. thanks
 
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  • #2
It might help to look at Chapter 3 of Quantum Field Theory by Lewis Ryder. While he doesn't go into formulating gravity in terms of non-Abelian gauge theory. He did nice job drawing parallel between the two formalisms.
 
  • #3
I found two papers by Utiyama on this subject,

1. Invariant theoretical interpretation of interaction.
Ryoyu Utiyama Published in Phys.Rev.101:1597-1607,1956.

2. Introduction To The Theory Of General Gauge Fields.
Ryoyu Utiyama. Published in Prog.Theor.Phys.64:2207,1980.

The second article should be more accessible than the first.
 
  • #4
Hyperreality said:
It might help to look at Chapter 3 of Quantum Field Theory by Lewis Ryder. While he doesn't go into formulating gravity in terms of non-Abelian gauge theory. He did nice job drawing parallel between the two formalisms.


Indeed, It was actually Utiyama who was the first to point out this correspondence in 1956. :smile:


Regards, Hans.
 
  • #6
thanks everyone, although perhaps the peer-reviewed articles by Utiyama will be pay-per-view (if possible and someone can give me a link)
 

1. What is the Utiyama reformulation of Gravity?

The Utiyama reformulation of Gravity is a mathematical framework proposed by Japanese physicist Yoji Utiyama in 1956. It aims to unify gravity with other fundamental forces in physics by describing gravity as a gauge theory, similar to other forces such as electromagnetism.

2. How does the Utiyama reformulation differ from Einstein's theory of general relativity?

The Utiyama reformulation differs from general relativity in that it describes gravity as a gauge theory, while general relativity describes it as a geometric theory. This allows for a more unified understanding of gravity with other fundamental forces in physics.

3. What are the potential implications of the Utiyama reformulation of Gravity?

The Utiyama reformulation has the potential to provide a more complete understanding of the fundamental forces in the universe and their interactions. It may also lead to new insights and predictions in areas such as cosmology and quantum gravity.

4. Has the Utiyama reformulation been tested or confirmed by experiments?

Currently, there is no experimental evidence to support the Utiyama reformulation of Gravity. However, it is an active area of research and there have been attempts to test its predictions through experiments and observations.

5. Are there any criticisms or challenges to the Utiyama reformulation?

Some criticisms of the Utiyama reformulation include the complex mathematical framework and the lack of experimental evidence to support its predictions. Additionally, there are challenges in reconciling the reformulation with other theories, such as quantum mechanics.

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