I Building Quantum GR out of quantum rulers and quantum clocks

cuallito
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Hi, has anyone tried to build "quantum GR", using the expectation value of |Psi(x)> as a "quantum ruler" and |Psi(t)> as a "quantum clock" to build up the idea of a "quantum metric"?
 
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What is |Psi(t)>? How do you calculate it? Can you show an example?
 
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Likes Demystifier, weirdoguy and berkeman
Jacobson’s work (1995) [1] demonstrated that Einstein’s equations can be derived from thermodynamic principles, suggesting gravity might emerge from the thermodynamic behavior of spacetime, tied to the entropy of horizons. Other researchers, such as Bekenstein [2] and Verlinde [3], have explored similar ideas, linking gravity to entropy and holographic principles. I’m interested in discussing how these thermodynamic approaches might apply to quantum gravity, particularly at the Planck...

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