Why can people learn about QED and QCD and not about: QGD

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Discussion Overview

The discussion centers on the challenges of developing a quantum theory of gravity, referred to as Quantum Geometrodynamics (QGD). Participants explore the physical and mathematical difficulties that hinder the formulation of such a theory, comparing it to established theories like Quantum Electrodynamics (QED) and Quantum Chromodynamics (QCD).

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants note that the lack of a quantum theory of gravity is due to significant mathematical challenges, with new branches of mathematics emerging in its pursuit.
  • One participant compares the development of a quantum theory of gravity to building a skyscraper, suggesting that substantial foundational work is required before the theory can be fully realized.
  • Another participant questions whether superstring theories were developed to address the coupling of General Relativity (GR) with conventional quantum field theory.
  • It is mentioned that while there are rough ideas about how a quantum theory of gravity should look, there is currently no experimental evidence to support these theories, making the discussion largely theoretical.
  • Two main competing theories are identified: string theory, which aims to unify all fundamental interactions, and loop quantum gravity, which focuses solely on quantizing GR.

Areas of Agreement / Disagreement

Participants generally agree that mathematical difficulties are a significant barrier to developing a quantum theory of gravity. However, there are competing views regarding the viability and ambition of string theory versus loop quantum gravity, and the discussion remains unresolved regarding which approach may ultimately succeed.

Contextual Notes

Participants express uncertainty about the experimental capabilities required to test theories of quantum gravity, highlighting the need for precision that is currently unattainable.

dextercioby
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Why can people learn about QED and QCD and not about:QGD(i.e.Quantum gravitodynamics)?What are then the difficulties (both physically and mathematically speaking)that prevented theoretical physicists to develop such a theory??
 
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We currently lack the theory you describe, which is called 'the quantum theory of gravity" (or, if you wanted to name it in the form QxD, it would be QGD, quantum geometrodynamics).

Myriad problems face researchers in this field. Entirely new branches of mathematics and have been discovered in its pursuit, and many of them are still in their infancy. Developing a quantum theory of gravity is to present-day physics as building a sky-scraper is to cavemen. Quite a lot of "infrastructure" has to be developed before the skyscraper itself can be built.

- Warren
 
So it's the math that gives us trouble.
Should i understand that "superstring theories"were developed to dealing with coupling GR and"normal"quantul field theory??
 
Yes, the math itself is what gives us problems. We have a rough idea of how a quantum theory of gravity should look. We currently are nowhere even close to being able to design experiments able to operate at the requisite level of precision, so there is currently no experimental evidence -- it's all pure theory.

The two biggest competing theories are string theory and loop quantum gravity. Of the two, string theory is the most ambitious, since it is not only a theory of gravity, but a theory of all four fundamental interactions (five if you include the Higgs mechanism).

Loop quantum gravity, on the other hand, is purely a quantization of GR, and many people see it as sort of a contrivance.

You decide. :)

- Warren
 

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