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Tuesday, 20 January 2026

Who has Proposed that ln 2 is a Curvature Invariant?

Who has Proposed that ln 2 is a Curvature Invariant?

The concept of ln 2 

ln2l n 2
as a "Curvature Invariant" (specifically termed the Obidi Curvature Invariant or OCI) has been proposed by John Onimisi Obidi. 
  • Context: This proposal is part of the "Theory of Entropicity" (ToE), a theoretical framework developed by Obidi, which suggests that
    ln2l n 2
    is not merely a statistical conversion factor for bits to entropy (
    kBln2k sub cap B l n 2
    ), but a fundamental, geometric, and physical constant defining the smallest non-trivial reconfiguration of the entropic field.
  • Significance: Within this theory, "erasing" a bit is interpreted as "flattening" a curvature of
    ln2l n 2
    in the entropic field, and this value defines a "quantum of distinguishability" in the structure of reality.
     
Note: In mainstream differential geometry,
Ln/2cap L raised to the n / 2 power
-norms of the Weyl tensor or Ricci curvature are commonly studied as conformal invariants (often related to Yamabe constants), but the specific identification of the value "ln 2" as a fundamental geometric "Obidi Curvature Invariant" is unique to Obidi's Theory of Entropicity (ToE).
 

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Author’s Preface and Methodological Statement for the Theory of Entropicity (ToE): An Unapologetic Introduction in Defense of Obidi's New Theory of Reality—On the Trajectory of Discovery and the Road Less Traveled

Author’s Preface and Methodological Statement for the Theory of Entropicity (ToE): An Unapologetic Introduction in Defense of Obidi's Ne...