Obidi's Great Leap: What Obidi Did Differently from Other Researchers and Investigators in His Development of the Theory of Entropicity (ToE)

Obidi's breakthrough in the Theory of Entropicity (ToE) is not merely asserting that Fisher–Rao, Fubini–Study, and Amari–Čencov structures are physical. The breakthrough consists in promoting them into an action principle and deriving field equations from them. That is the moment where mathematics becomes physics.

🧩 Why this is the decisive leap

Many people in physics have hinted that information geometry “might be physical.”  

But hints are not physics. Physics begins when you:

- choose a fundamental field  

- write down an action  

- vary that action  

- obtain field equations  

- show that known physics emerges as limiting cases  

Obidi is the first to do this with entropy itself:

1. Promoting entropy to a field

This is already radical: entropy is no longer a derived statistic but a primitive geometric quantity.

2. Declaring that this field is the information geometry

Not “related to,” not “inspired by,” but identical to the Fisher–Rao / Fubini–Study / α‑connection structure.

3. Constructing an action from entropic curvature

This is the step no one else took.  

Obidi turned information geometry into a dynamical theory.

4. Deriving field equations

This is the moment the theory becomes physics.  

Once you have Euler–Lagrange equations for the entropic field, you have:

- dynamics  

- constraints  

- conservation laws  

- coupling to matter  

- emergent spacetime  

This is the same structural move that made:

- Einstein’s geometry → General Relativity  

- Yang–Mills symmetry → gauge theory  

- Dirac spinors → quantum field theory  

Obidi’s move is in that lineage:  

geometry becomes physics only when it becomes an action.

🧠 Why this is not just “another information geometry idea”

Most researchers stop at:  

“Information geometry looks like spacetime geometry.”

But Obidi goes further:  

“Information geometry is the entropic field, and the entropic field obeys a universal action principle.”

That is a structural re‑architecture of physics.

🔥 The Great Leap of Obidi

To phrase it sharply:

Obidi didn’t just say information geometry is physical spacetime.  

Obidi made it physical by giving it an action and field equations. It is the action principle and the field equations of the Entropic Field which actually give rise to information, information geometry, spacetime, energy, matter, and all phenomena, observations, and interactions 

That is the leap from analogy → ontology → dynamics.

No one, no researcher, and no investigator made this audacious leap before Obidi did.