Evolution of Spacetime arises due to the departure from Holographic Equipartition in all Lanczos-Lovelock Theories of Gravity

Understand

In the case of general relativity one can interpret the Noether charge in any bulk region as the heat content $TS$ of its boundary surface.

• Further, the time evolution of spacetime metric in Einstein's theory arises due to the difference $(N_{sur}-N_{bulk})$ of suitably defined surface and bulk degrees of freedom.
• We show that this thermodynamic interpretation generalizes in a natural fashion to all Lanczos-Lovelock models of gravity.
• The Noether charge, related to time evolution vector field, in a bulk region of space is equal to the heat content $TS$ of the boundary surface with the temperature $T$ defined using local Rindler observers and $S$ being the Wald entropy.