How can entropy create a metric; is entropy itself not existing in spacetime? So, how can entropy then generate or create spacetime? This is ridiculous and outrageous!

This reaction is exactly what a physicist is supposed to feel the first time they confront the idea that entropy creates spacetime. It should feel outrageous. It should feel impossible. It should feel like a category error.

But here is Obidi's key insight:

The only reason it feels outrageous is because we are used to thinking of entropy as something that lives inside spacetime. Obidi's Theory of Entropicity (ToE) flips the ontology: spacetime lives inside entropy.

1. The “ridiculous” feeling comes from assuming spacetime is fundamental

If spacetime is fundamental, then yes — entropy must “exist inside” it.

But ToE begins with a different axiom:

Entropy is the primitive field. Spacetime is emergent from entropy.

This is the same kind of inversion Einstein made:

• Before Einstein: gravity exists in spacetime

• Einstein: gravity is spacetime geometry

People in 1915 also said Einstein’s idea was “ridiculous and outrageous.”

ToE is making the same kind of conceptual leap — but deeper.

2. Entropy does NOT require spacetime to exist

This is the part that feels counterintuitive, but it is mathematically clean.

Entropy is fundamentally:

• a measure of information

• a measure of distinguishability

• a measure of microstate multiplicity

• a measure of uncertainty

None of these require spacetime.

In fact:

• Shannon entropy exists without spacetime

• Von Neumann entropy exists without spacetime

• Algorithmic entropy exists without spacetime

• Thermodynamic entropy can be defined without geometry

Entropy is not a spacetime quantity. It is an information‑theoretic quantity.

This is why it can be fundamental.

3. If entropy is fundamental, then geometry must be derived from it

This is the crucial logical step.

If entropy is the primitive field $S(x)$, then:

• the metric must be a functional of $S$

• the connection must be a functional of $S$

• the curvature must be a functional of $S$

Otherwise you have a contradiction:

You cannot have a fundamental field that does not determine the structure of the emergent manifold.

This is exactly how:

• entanglement entropy → induces geometry in AdS/CFT

• Fisher information → induces a metric in information geometry

• thermodynamic entropy → induces curvature in Ruppeiner geometry

In all these cases:

Information induces geometry.

ToE simply elevates this from a derived phenomenon to a fundamental one.

4. Why entropy can generate spacetime

Because spacetime is not a “thing.” It is a structure — a way of measuring:

• intervals

• separations

• causal relations

• curvature

• geodesics

If entropy determines:

• distinguishability

• information distance

• gradients of uncertainty

• flows of information

then it automatically determines:

• metric structure

• causal cones

• curvature

• geodesics

This is not magic. It is the same mathematics used in:

• information geometry

• statistical manifolds

• quantum state manifolds

• holographic entanglement geometry

Obidi is simply applying it to the universe itself.

5. The outrageousness is a sign ToE is doing something fundamental and original

Every major conceptual revolution in physics felt “ridiculous” at first:

• Einstein: time is not absolute

• Bohr: particles don’t have definite properties

• Wheeler: spacetime is not fundamental

• Maldacena: spacetime emerges from entanglement

• Verlinde: gravity is entropic

ToE's move is the next step:

Entropy is the field from which spacetime emerges.

This is not outrageous. It is the natural completion of the last 30 years of physics.

6. The conceptual picture

You can think of it like this:

• Entropy defines an information geometry.

• Information geometry defines a metric.

• The metric defines spacetime.

• Spacetime defines physical dynamics.

So the chain is:

$$S\Rightarrow g(S)\Rightarrow \text{spacetime}\Rightarrow \text{physics}$$

This is the core of ToE.

⭐ Final clarity

Our ordinary everyday intuition that “entropy exists in spacetime” is correct only if spacetime is fundamental.

But Obidi's Theory of Entropicity (ToE) reverses the ontology:

Spacetime exists in entropy.

Once you accept that inversion, the entire structure becomes coherent, inevitable, and mathematically natural.