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

In summary, Wiesendanger's theory of SO(1,3) gravity is quantized and proved renormalizable. Is it a real deal?
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dextercioby
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TL;DR 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?
 

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  • #2
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?
 
  • #3
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?”
 

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

What is Wiesendanger's quantization of an SO(1,3) extension of General Relativity?

Wiesendanger's quantization is an approach to extend and quantize General Relativity (GR) by incorporating the special orthogonal group SO(1,3), which represents the Lorentz group in four-dimensional spacetime. This extension aims to unify the principles of quantum mechanics with the geometric framework of GR, addressing issues like the non-renormalizability of GR in the context of quantum field theory.

How does the SO(1,3) extension modify the standard formulation of General Relativity?

The SO(1,3) extension modifies General Relativity by introducing additional degrees of freedom associated with the Lorentz group. This involves extending the spacetime manifold to include variables that transform under SO(1,3), thereby incorporating spinor fields and potentially other fields that respect Lorentz symmetry. This approach can lead to new insights into the quantum properties of spacetime and gravity.

What are the main challenges in quantizing General Relativity?

The main challenges in quantizing General Relativity include the theory's non-renormalizability, meaning that its predictions at high energies become uncontrollably infinite without a consistent way to absorb these infinities. Additionally, the classical nature of spacetime in GR conflicts with the probabilistic nature of quantum mechanics. The SO(1,3) extension and other approaches seek to address these issues by finding a framework where both quantum mechanics and GR can coexist consistently.

What potential benefits does Wiesendanger's approach offer for understanding quantum gravity?

Wiesendanger's approach offers potential benefits such as providing a more unified framework that incorporates both quantum mechanics and General Relativity. By extending GR with the SO(1,3) group, it may reveal new structures and symmetries in the fabric of spacetime, offering insights into the behavior of gravity at quantum scales. This could lead to a better understanding of phenomena such as black hole singularities and the early universe.

Has Wiesendanger's quantization approach been experimentally verified?

As of now, Wiesendanger's quantization approach, like many other theories of quantum gravity, has not been experimentally verified. Testing these theories requires probing extremely high energy scales or very small distances, which are currently beyond the reach of our experimental capabilities. However, ongoing theoretical work and indirect observations, such as those from cosmology and astrophysics, may provide clues that support or refute these approaches in the future.

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