A New Approach in Quantum Gravity

In summary: Your Name]In summary, the conversation discussed a new reformulation of quantum geometrodynamics that addresses the ambiguity in the canonical approach to quantum gravity. The approach involves fixing the reference frame through a kinematical action, leading to evolutive equations for the quantum dynamics. The presence of dust in the semi-classical limit could potentially explain observations of dark matter in the universe. This work has the potential to advance our understanding of quantum gravity and its cosmological implications.
  • #1
alexsok
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Just out:
http://il.arxiv.org/abs/gr-qc/0401102
This work concerns a new reformulation of quantum

geometrodynamics, which allows to overcome a fundamental ambiguity contained in the canonical approach to quantum gravity: the possibility of performing a (3+1)-slicing of space-time, when the metric tensor is in a quantum regime. Our formulation provides also a procedure to solve the problems connected to the so called "frozen formalism". In particular we fix the reference frame (i.e. the lapse function and the shift vector) by introducing the so called "kinematical action"; as a consequence, the new hamiltonian constraints become parabolic, so arriving to evolutive (Schroedinger-like) equations for the quantum dynamics. The kinematical action can be interpreted as the action of a pressureless, but, in general, non geodesic perfect fluid, so in the semi classical limit our theory leads to the dynamics of the gravitational field coupled to a dust which represents the material reference frame we have introduced fixing the slicing. We also investigate the cosmological implications of the presence of the dust, which, in the WKB limit of a cosmological problem, makes account for a "dark matter" component and could play, at present time, a dynamical role.
 
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  • #2


Dear fellow scientist,

Thank you for sharing this interesting work on a new reformulation of quantum geometrodynamics. It seems like this approach has the potential to address some fundamental issues in the canonical approach to quantum gravity. I am particularly intrigued by the idea of fixing the reference frame through the introduction of a kinematical action, which leads to evolutive equations for the quantum dynamics.

I am also interested in the cosmological implications of this approach, especially the possibility of a "dark matter" component arising from the dust in the semi-classical limit. It would be interesting to see how this theory could potentially explain some of the observations we have made about dark matter in the universe.

Overall, this work seems to have great potential in advancing our understanding of quantum gravity and its implications for cosmology. I look forward to reading more about your findings and potential applications of this reformulation.
 
  • #3


This new approach in quantum gravity is certainly an exciting development in the field. By addressing the issue of ambiguity in the canonical approach to quantum gravity, this formulation opens up new possibilities for understanding the quantum behavior of the metric tensor. The introduction of the kinematical action and the resulting evolutive equations for the quantum dynamics are also significant contributions to this work. The interpretation of the kinematical action as a non-geodesic perfect fluid adds an interesting perspective to the theory and could potentially provide new insights into the nature of dark matter. The investigation of cosmological implications is also a valuable aspect of this work, as it expands our understanding of the role of dust in the dynamics of the gravitational field. Overall, this new approach in quantum gravity has the potential to greatly advance our understanding of the fundamental laws of the universe.
 

1. What is "A New Approach in Quantum Gravity"?

"A New Approach in Quantum Gravity" is a theoretical framework that aims to reconcile the principles of quantum mechanics and general relativity in order to better understand the fundamental nature of spacetime and gravity. It proposes a new way of thinking about the interactions between particles and the fabric of the universe.

2. How does this new approach differ from traditional theories of quantum gravity?

This new approach differs from traditional theories of quantum gravity in that it does not rely on the concept of spacetime as a continuous and smooth fabric, but rather as a discrete and granular structure. It also incorporates elements of both quantum mechanics and general relativity, rather than trying to merge the two theories completely.

3. What are the potential implications of this new approach?

The potential implications of this new approach are vast and still being explored. It could potentially lead to a deeper understanding of the fundamental nature of the universe, as well as provide insights into phenomena such as black holes and the Big Bang. It could also have practical applications in fields such as quantum computing and space travel.

4. How is this new approach being tested or validated?

As with any scientific theory, this new approach is being tested and validated through a combination of theoretical calculations and experimental data. Scientists are using mathematical models and simulations to make predictions and then comparing them to observations and experiments. As the theory is still in its early stages, further research and experimentation will be necessary to fully validate it.

5. Is this new approach widely accepted in the scientific community?

The new approach in quantum gravity is still a developing theory and is not yet widely accepted in the scientific community. While some scientists are exploring and investigating its potential, others remain skeptical and continue to work on other theories and approaches. As more research and evidence is gathered, the level of acceptance may change in the future.

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