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:
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:
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 , then:
the metric must be a functional of
the connection must be a functional of
the curvature must be a functional of
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:
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:
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.
