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Are there any linear quantum gravity theories out there with respect to the wave function?
All mainstream quantum gravity theories (string theory, Wheeler-DeWitt, loop quantum gravity, perturbative quantization of spin-2 field in a classical background, etc.) are linear with respect to the wave function. Linearity (or superposition principle) is one of the basics axioms of quantum theory.Are there any linear quantum gravity theories out there with respect to the wave function?
Who are you referring to? The OP stated that he is talking about linearity with respect to wave functions. I assumed that by "wave functions" he means quantum states and not the gravitational fields. Dextercioby assumed the opposite.Maybe you're confusing fields with wave functions ?
What about asymptotic safety in quantum gravity?All mainstream quantum gravity theories (string theory, Wheeler-DeWitt, loop quantum gravity, perturbative quantization of spin-2 field in a classical background, etc.) are linear with respect to the wave function. Linearity (or superposition principle) is one of the basics axioms of quantum theory.
It's also linear.What about asymptotic safety in quantum gravity?
How do you know? Not all quantum gravity theories are linear. Casual fermion systems is non linear and so is casual dynamical triangulation.It's also linear.
Can you support it by a reference?Casual fermion systems is non linear and so is casual dynamical triangulation.
I just emailed researchers in the field and they told me.Can you support it by a reference?
Can you copy/paste the exact question you asked and their exact answer?I just emailed researchers in the field and they told me.
Me -Can you copy/paste the exact question you asked and their exact answer?
I don't have the reply from the CDT researcher I deleted itCan you copy/paste the exact question you asked and their exact answer?
You are right, this is really a non-linear theory with respect to the quantum state (which you call wave function). The theory has something to do with the so-called wave-function collapse. However, this is a very exotic theory, very very far away from the mainstream.For more information you could have a look at the survey paper
https://arxiv.org/abs/1502.03587