Wiesendanger's quantization of an SO(1,3) extension of GR

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SUMMARY

Wiesendanger's quantization of the SO(1,3) extension of General Relativity (GR) is established as a renormalizable theory, as detailed in his 2019 paper published in Class. Quantum Grav. 36 065015. The discussion raises critical questions regarding the testability of this framework, particularly the absence of standard quantum field theory (QFT) observables and derived phenomenology. Key challenges include demonstrating the unitarity of the S-matrix and exploring the implications of asymptotic freedom and gravitational interactions.

PREREQUISITES
  • Understanding of General Relativity (GR)
  • Familiarity with Quantum Field Theory (QFT)
  • Knowledge of gauge theories, specifically SO(1,3)
  • Concepts of renormalization and S-matrix unitarity
NEXT STEPS
  • Research the implications of unitarity in quantum field theories
  • Explore the concept of asymptotic freedom in gauge theories
  • Investigate the role of instantons in Euclidean field theories
  • Study the relationship between classical and quantum gravitational interactions
USEFUL FOR

The discussion is beneficial for theoretical physicists, researchers in quantum gravity, and anyone interested in the quantization of gravitational theories and their implications in modern physics.

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TL;DR
Wiesendanger's theory of SO(1,3) gravity is quantized and proved renormalizable. Is it a real deal?
Are you aware of the 3-article series of Wiesendanger's quantized extension of GR?

This is open access: C Wiesendanger 2019 Class. Quantum Grav. 36 065015 and the two sequels linked to in the PDF. The question is if this work counts as a quantization of a reasonable extension or reformulation of GR.
What is your opinion?
 

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dextercioby said:
Summary:: Wiesendanger's theory of SO(1,3) gravity is quantized and proved renormalizable. Is it a real deal?

Are you aware of the 3-article series of Wiesendanger's quantized extension of GR?

This is open access: C Wiesendanger 2019 Class. Quantum Grav. 36 065015 and the two sequels linked to in the PDF. The question is if this work counts as a quantization of a reasonable extension or reformulation of GR.
What is your opinion?
Is there any indication that it’s testable?
 
There are no „standard QFT” observables, nor phenomenology computed/derived, only questions asked as where to next from the a-la-Standard Model quantization that he provided for his SO(1,3) gauge theory.

The last step to be taken in consistently quantizing the SO(1,3) gauge field theory at hands,
and hence potentially gravitation, will be the demonstration of the unitarity of the S-matrix on
the physical Fock space for the gauge field.
And then more work starts: what about asymptotic freedom versus the observability of the
gravitational interaction—or the β-function of the theory determining the running of the gauge
coupling?What about instantons which definitely exist in the Euclidean version of the theory
given that SO(4)=SU(2)×SU(2), and anomalies?And what about the interplay of S(2)
G and
S(4)
G whereby the former dominates the gravitational interaction at long distances or in the
realm of classical physics and the latter at the short distances governing quantum physics? And
what about the gravitational quanta implied by the latter already in the non-interacting theory?”
 

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