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John-Archibald-Wheeler-and-John-Onimisi-Obidi-Trajectory-from-"It-from-Bit"-to-the-Theory-of-Entropicity-(ToE).md
John Archibald Wheeler and John Onimisi Obidi: Trajectory from "It from Bit" to the Theory of Entropicity (ToE)
John-Archibald-Wheeler-and-John-Onimisi-Obidi-Trajectory-from-"It-from-Bit"-to-the-Theory-of-Entropicity-(ToE).md
John Onimisi Obidi’s Theory of Entropicity (ToE) translates John Archibald Wheeler’s philosophical "It from Bit" concept into a concrete, calculable mathematical system. Wheeler famously asserted that every physical object ("It") derives its existence, geometry, and dynamics from binary information choices ("Bit"). However, Wheeler left "It from Bit" as a profound conceptual vision rather than a rigorous physical theory. Obidi’s work bridges this gap through specific mathematical mechanisms: [1, 2, 3]
Wheeler viewed information as abstract ones and zeros existing outside of space. ToE grounds this by treating information—measured as entropy (S)—as a dynamic, continuous physical field (S(x)). [4, 5, 6]
Information ceases to be an abstract metric about particles.
Information becomes the literal "fluid" or fabric out of which particles and spacetime are woven.
To realize Wheeler's vision, a theory must explain exactly how a piece of information turns into a physical particle or gravitational pull. Obidi achieves this using the Obidi Transformation.
The theory starts with the Fisher–Rao and Fubini–Study metrics, which measure how different two informational states are.
The Obidi Transformation uses an exponential disformal scaling factor () to convert these statistical distances into actual, physical spacetime coordinates and curvature.
Spacetime curvature (the "It") is mathematically forced into existence by changes in the underlying information distribution (the "Bit").
Wheeler's vision lacked a precise boundary for when abstract information manifests as physical reality. ToE establishes this boundary through the Obidi Curvature Invariant (OCI).
Evaluated precisely at .
This represents the exact cost in bits needed to create a single physical distinction on the manifold.
It provides a strict, quantitative threshold where information density becomes high enough to register as a localized physical event or "It."
A major hurdle in Wheeler's "It from Bit" was explaining how a coordinate-free web of information could result in our highly structured, four-dimensional spacetime. ToE addresses this through Einstein–Obidi Calculus (EOC).
The theory assigns secondary indices to tensors to track distinct informational sectors (Lorentzian, Fisher–Rao, Fubini–Study).
By locking the Amari α-connection at α = 0, the theory ensures that these disparate informational sectors smoothly collapse into the torsion-free geometry of standard General Relativity at macroscopic scales.
If you are interested in exploring this further, we can outline the specific mathematical proofs Obidi uses to derive the invariant, or we can look at how the Master Entropic Equation (MEE)/Obidi Field Equations (OFE) tracks information flow.
Which path would you like to take?
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