Transformational Unification through the Theory of Entropicity (ToE): A Reformulation of Quantum–Gravitational Correspondence via the Obidi Action and the Vuli-Ndlela Integral

<p dir="ltr">The Theory of Entropicity (ToE) unifies Thermodynamics, Quantum mechanics, and General</p><p dir="ltr"> relativity under a single entropic variational principle. This paper reformulates the transformational</p><p dir="ltr"> framework of the ∆∞O meta-theory of Alexander Ngu and Amaya Odilon Kosso through the</p><p dir="ltr"> ToE formalism. Using the Obidi Action and the Vuli-Ndlela Integral, the analysis demonstrates</p><p dir="ltr"> that all transformation-based results claimed by the ∆∞O paper emerge naturally as entropic conse</p><p dir="ltr">quences. The equivalence transformation program (T1–T6) shows that every major feature—unified</p><p dir="ltr"> operator, Planck-scale dispersion, and holographic entropy bounds—arises from entropic field dynamics governed by irreversible constraints and the finite rate of entropy rearrangement in ToE.</p><p dir="ltr"><br></p>