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Inertial force, Hawking Temperature and Quantum Statistics
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To explore the mechanism for the entropic force proposal in Entropic Gravity, we propose a specific thermodynamic process for states thermalized in local Hawking Temperature. We find when Casini's version of the Bekenstein bound is saturated, the thermodynamic force derived in the entanglement first law matches the local inertial force for the Schwarzschild solution, except for a negligible statistics-dependent factor. We argue the gravity viewed by static observers may have observable effects emerged from quantum statistics. The successful detailed calculation in this simple model inspires and is in support of the further development in our following research arXiv:2004.14059.
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Holographic Ordering and Negative entropy in Non-equilibrium Euclidean Black Hole Path Integralsl
Gravitational attraction is presented as the gradient of a negative entropy deficit, equal to the red-shifted shell energy divided by Hawking temperature, applied to a black hole with a static thin shell.
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