Campiglia-Di Bartolo-Gambini-Pullin Paper

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In summary, the paper presents a new quantization method for totally constrained systems, which involves constructing discretized theories that can be easily quantized and still approximate the original theory. Further research and analysis may be needed to fully evaluate its effectiveness.
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Alamino
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Did someone give a look in it already?

Uniform discretizations: a quantization procedure for totally constrained systems including gravity
http://arxiv.org/abs/gr-qc/0606121" [Broken]

The abstract is:

We present a new method for the quantization of totally constrained systems including general relativity. The method consists in constructing discretized theories that have a well defined and controlled continuum limit. The discrete theories are constraint-free and can be readily quantized. This provides a framework where one can introduce a relational notion of time and that nevertheless approximates in a well defined fashion the theory of interest. The method is equivalent to the group averaging procedure for many systems where the latter makes sense and provides a generalization otherwise. In the continuum limit it can be shown to contain, under certain assumptions, the ``master constraint'' of the ``Phoenix project''. It also provides a correspondence principle with the classical theory that does not require to consider the semiclassical limit.

And it's just 4 pages long. Any comments from someone who have already read?
 
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I have read the abstract and briefly skimmed through the paper. From what I can gather, the paper presents a new method for quantizing totally constrained systems, specifically general relativity. The method involves constructing discretized theories that can be easily quantized and still approximate the original theory in a well-defined manner. This approach also allows for the introduction of a relational notion of time, which can be useful in understanding the dynamics of the system.

I cannot comment on the effectiveness or validity of this method without fully reading and analyzing the paper. However, the fact that it is only 4 pages long may indicate that it is a brief overview or introduction of the method, and further research and analysis may be needed to fully understand and evaluate its potential.

Overall, it seems like an interesting and potentially useful approach for quantizing totally constrained systems, and I would be interested in reading the paper in more detail to fully understand its implications and limitations.
 
  • #3


As a fellow scientist, I have not personally read the Campiglia-Di Bartolo-Gambini-Pullin paper. However, based on the abstract, it seems to present a new method for quantizing totally constrained systems, including general relativity. The authors propose constructing discretized theories that have a well-defined and controlled continuum limit, which allows for a relational notion of time and a correspondence principle with classical theory. It is also noted that this method is equivalent to the group averaging procedure and contains the "master constraint" of the "Phoenix project" in the continuum limit. Overall, it seems like an interesting approach to quantization and I would be curious to read the full paper and see how it compares to other methods in the field.
 

1. What is the main topic of the Campiglia-Di Bartolo-Gambini-Pullin Paper?

The main topic of the Campiglia-Di Bartolo-Gambini-Pullin Paper is the study of quantum gravity and its implications for the nature of spacetime.

2. Who are the authors of the Campiglia-Di Bartolo-Gambini-Pullin Paper?

The authors of the Campiglia-Di Bartolo-Gambini-Pullin Paper are Alejandro Perez Campiglia, Rodolfo Gambini, and Jorge Pullin.

3. What is the significance of the Campiglia-Di Bartolo-Gambini-Pullin Paper?

The Campiglia-Di Bartolo-Gambini-Pullin Paper presents a new approach to understanding quantum gravity and its potential impact on our understanding of the fabric of the universe.

4. What are some key findings of the Campiglia-Di Bartolo-Gambini-Pullin Paper?

Some key findings of the Campiglia-Di Bartolo-Gambini-Pullin Paper include the proposal of a new mathematical framework for quantum gravity and the potential for this framework to resolve some long-standing issues in the field.

5. How does the Campiglia-Di Bartolo-Gambini-Pullin Paper contribute to the scientific community?

The Campiglia-Di Bartolo-Gambini-Pullin Paper contributes to the scientific community by presenting a novel approach to studying quantum gravity and offering potential solutions to unanswered questions in the field. It also provides a basis for further research and experimentation in this area.

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