Who has Declared that ln 2 is a Universal Curvature Invariant (UCI) of Distinguishability?

Physicist John Onimisi Obidi has declared from his Theory of Entropicity (ToE) that ln 2 

$\ln 2$

is a universal Curvature Invariant of Distinguishability, formally referred to in his work as the Obidi Curvature Invariant (OCI). 

Obidi introduced this concept within his Theory of Entropicity (ToE), a theoretical framework that proposes entropy is not just a statistical measure but a fundamental physical field that permeates the universe. 

The Obidi Curvature Invariant (OCI) 

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In Obidi's framework,

$\ln 2$

 ln 2 is elevated from a statistical constant to a fundamental geometric boundary: 

• Minimal Threshold: It represents the smallest possible "curvature gap" or "fold" in the entropic field required for the universe to recognize two states as physically distinct.
• Quantum of Distinguishability: Obidi argues that the universe cannot register a difference smaller than ln 2
  

  $$ln2l n 2

  ln2
  ; below this threshold, configurations are physically indistinguishable.
• Geometric Landauer Cost: While standard physics views Landauer's Principle kBTln2 (
  

  $k_{B}T\ln 2$
  ) as a thermodynamic rule, Obidi's theory derives it as a geometric necessity, where "erasing" a bit (of information) is the physical act of "flattening" a curvature of ln 2 
  

  $\ln 2$
  in the entropic manifold.
• No-Rush Theorem: This principle asserts that reality only "resolves" or becomes definite when entropic curvature crosses the
  

  $\ln 2$
  threshold, providing a geometric solution to quantum paradoxes like Schrödinger’s Cat and Wigner's Friend.