What are the incompatibilities between GR and QM?

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In summary, the main incompatibility between General Relativity (GR) and Quantum Mechanics (QM) is that they have fundamentally different principles and mathematical frameworks. GR is a classical theory of gravity that describes the large-scale structure of the universe, while QM is a quantum theory that describes the behavior of particles at the subatomic level. GR is based on the principle of general covariance, while QM is based on the principles of superposition and uncertainty. These differences make it difficult to reconcile the two theories, and though there have been attempts to do so, they have not yet been successful. The implications of not being able to reconcile GR and QM include an incomplete understanding of the universe, difficulty in explaining phenomena such as black holes and
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Karlisbad
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What are the incompatibilities between GR and QM??

appart from the fact that GR is NOn-renormalizable (perturbatively :rolleyes: ) since there are almos infinite types of UV divergences [tex] \int_{0}^{\infty}dxx^{n} [/tex] n=-1,0,1,2,3,4,...

What other incompatibilities are there?..if space weren't continuous but you could "triangularize" it somehow :frown: :frown: would these inconsistence disappear?? :shy:
 
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I cannot provide a definitive answer to this question as it is still an area of active research and debate in the scientific community. However, I can provide some insights into the main incompatibilities between General Relativity (GR) and Quantum Mechanics (QM).

1. Different theories of spacetime: GR describes the behavior of gravity as a curvature of spacetime, while QM describes the behavior of particles and their interactions. These two theories have fundamentally different interpretations of how space and time behave, making it difficult to reconcile them in a single framework.

2. Different scales: GR is a classical theory that applies to macroscopic objects, while QM is a quantum theory that applies to microscopic particles. When trying to apply both theories to the same system, there are inconsistencies due to the different scales at which they operate.

3. Uncertainty principle: In QM, the uncertainty principle states that the position and momentum of a particle cannot be known simultaneously with 100% accuracy. However, in GR, the concept of a definite position and momentum of a particle is necessary to calculate its trajectory within the curved spacetime.

4. Non-renormalizability: As mentioned in the content, GR is non-renormalizable, which means that when trying to calculate certain quantities, the theory produces infinite values. This is not the case in QM, which is a renormalizable theory.

There are ongoing efforts to reconcile these incompatibilities through various approaches such as string theory, loop quantum gravity, and others. However, these attempts are still in their early stages and have not yet produced a definitive solution. As for the idea of "triangularizing" space, it is not a widely accepted concept in mainstream physics and does not address the fundamental differences between GR and QM.
 

Related to What are the incompatibilities between GR and QM?

What are the incompatibilities between GR and QM?

The main incompatibility between General Relativity (GR) and Quantum Mechanics (QM) is that they have fundamentally different principles and mathematical frameworks. GR is a classical theory of gravity that describes the large-scale structure of the universe, while QM is a quantum theory that describes the behavior of particles at the subatomic level.

How do GR and QM differ in their principles?

GR is based on the principle of general covariance, which states that the laws of physics should be the same in all reference frames. QM, on the other hand, is based on the principles of superposition and uncertainty, which describe the probabilistic nature of particles and their interactions.

Why is it difficult to reconcile GR and QM?

The mathematical frameworks of GR and QM are incompatible, making it challenging to reconcile the two theories. GR uses continuous mathematics to describe the behavior of gravity, while QM uses discrete mathematics to describe the behavior of particles.

Are there any attempts to reconcile GR and QM?

Yes, there have been numerous attempts to reconcile GR and QM, such as string theory, loop quantum gravity, and quantum field theory in curved spacetime. However, these theories have not yet been fully developed or verified experimentally.

What are the implications of not being able to reconcile GR and QM?

If GR and QM cannot be reconciled, it would mean that our understanding of the universe is incomplete. It would also hinder our ability to explain phenomena that occur at the intersection of these two theories, such as black holes and the Big Bang. Additionally, it would make it difficult to develop a unified theory of physics that can explain all known phenomena.

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