@Sydney Ernest Grimm

My dear Sydney Ernest Grimm, thank you for your simple explanation and precise answer...

Great contribution and I agree perfectly with the views of Dr. Sydney.

Since entropy is an emergent property so it seems entropic gravity should not be able to describe gravity beyond certain scale.This is in correpondence with spacetime is emergent only after a certain scale but the does the theory give clue as to how does the spacetime emerge and out of what?

The so-called "entropy " doesn't exist at all.

During the process of deriving the so-called entropy, in fact, ΔQ/T can not be turned into dQ/T. That is, the so-called "entropy " doesn't exist at all.

The so-called entropy was such a concept that was derived by mistake in history.

It is well known that calculus has a definition,

any theory should follow the same principle of calculus; thermodynamics, of course, is no exception, for there's no other calculus at all, this is common sense.

Based on the definition of calculus, we know:

to the definite integral ∫T f(T)dQ, only when Q=F(T), ∫T f(T)dQ=∫T f(T)dF(T) is meaningful.

As long as Q is not a single-valued function of T, namely, Q=F( T, X, …), then,

∫T f(T)dQ=∫T f(T)dF(T, X, …) is meaningless.

1) Now, on the one hand, we all know that Q is not a single-valued function of T, this alone is enough to determine that the definite integral ∫T f(T)dQ=∫T 1/TdQ is meaningless.

2) On the other hand, In fact, Q=f(P, V, T), then

∫T 1/TdQ = ∫T 1/Tdf(T, V, P)= ∫T dF(T, V, P) is certainly meaningless. ( in ∫T , T is subscript ).

We know that dQ/T is used for the definite integral ∫T 1/TdQ, while ∫T 1/TdQ is meaningless, so, ΔQ/T can not be turned into dQ/T at all.

that is, the so-called "entropy " doesn't exist at all.

Why did the wrong "entropy" appear ?

In summary , this was due to the following two reasons:

1) Physically, people didn't know Q=f(P, V, T).

2) Mathematically, people didn't know AΔB couldn‘t become AdB directely .

If people knew any one of them, the mistake of entropy would not happen in history.

Please read my paper and those answers of the questions related to my paper in my Projects.

https://www.researchgate.net/publication/230554936_Entropy_A_concept_that_is_not_a_physical_quantity

Gravity is a property of spacetime. Space does not exist until energy of adjacent space changes state such that it occupies the new, adjacent region. As it transitions into that region, that space emerged into existence - it emerged. Gravity is the result of energy(mass) occupying space. Since the space did not exist prior the the energy state transition, gravity did not exist in that region - gravity emerges as space emerges.

Entropy is the measure of possible configurations in a region of space. Where there is no space, entropy is not defined. When space emerges, entropy emerges with it as there is then a region to identify configurations.