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

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Wiesendanger's three-article series presents a quantized extension of General Relativity (GR) based on the SO(1,3) gauge theory, which is claimed to be renormalizable. The discussion raises questions about the practicality and testability of this theory, noting a lack of standard quantum field theory observables and derived phenomenology. Key challenges include demonstrating the unitarity of the S-matrix and addressing issues like asymptotic freedom and the behavior of gravitational interactions at different scales. The interplay between different symmetry groups and the implications for gravitational quanta are also highlighted as areas needing further exploration. Overall, while the theory shows promise, significant work remains to validate its physical relevance.
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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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