A A question from Superspace and 1001 lessons

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My question is about Eq. (3.8.12) on page 112 of this text:
https://arxiv.org/pdf/hep-th/0108200
I believe that ##f'(\Phi(z))=\frac{df(\Phi(z))}{dz}##, I get confused with the prime in ##z'## and is it really just this derivative?
I wonder how many people read this 1983 book.
 

Thread 'Thermodynamic Approaches to Quantum Gravity: Discussion'

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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