Obidi's Theory of Entropicity (ToE) Extends and  Generalizes Erik Verlinde's Entropic Gravity in Modern Theoretical Physics 

Overview of the Theories

Erik Verlinde's entropic gravity, proposed in 2010, posits that gravity is not a fundamental force but an emergent phenomenon arising from changes in entropy associated with the holographic storage of information. Drawing from black hole thermodynamics and the AdS/CFT correspondence, Verlinde argues that when matter moves, it alters the entropy on a hypothetical "holographic screen" (a 2D surface encoding 3D volume information), creating an entropic force that mimics Newtonian gravity. This framework suggests gravity behaves like a thermodynamic effect, similar to elasticity in polymers, and has implications for dark matter (e.g., modified gravity at galactic scales without exotic particles). It remains a speculative but influential idea in theoretical physics, tested against observations like galaxy rotation curves but not fully integrated into mainstream quantum gravity approaches.

John Onimisi Obidi's Theory of Entropicity (ToE), introduced in early (February) 2025, elevates entropy to the status of a fundamental, monistic field—the generative substrate of all physical reality. In ToE, entropy is dynamic and ontological, not just statistical disorder; it gives rise to spacetime, matter, causality, and forces through principles like the No-Rush Theorem (enforcing finite rates of change) and the Obidi Action (a variational principle deriving dynamics from entropic flows). Gravity emerges as curvature in entropic redistribution seeking equilibrium, while relativity and quantum effects stem from constraints on this field. ToE aims to unify physics by "dethroning" the observer, treating them as embedded subsystems rather than definers of frames or measurements.

Both theories share a thermodynamic foundation, emphasizing entropy's central role in explaining emergent phenomena:

Emergent Gravity: Verlinde and Obidi agree that gravity is not primitive but arises from entropic principles. Verlinde derives it from entropy gradients on holographic screens, while Obidi sees it as entropic flow curvature—both avoid treating gravity as a standalone force mediated by particles like gravitons.

Thermodynamic Roots: They build on historical ideas, such as Jacob Bekenstein's black hole entropy and Ted Jacobson's thermodynamic derivation of Einstein's equations. Entropy is key to unifying gravity with other physics, potentially addressing dark energy (e.g., cosmic acceleration as entropic expansion in ToE) or dark matter (modified dynamics in Verlinde's model).

Challenge to Standard Paradigms: Each critiques geometric interpretations of gravity (e.g., General Relativity's spacetime curvature) as secondary. They propose entropy/information as deeper, with implications for quantum gravity, where traditional approaches like string theory or loop quantum gravity struggle.

Status and Nature: Both are still to be empirically validated beyond conceptual alignments with existing data; both inspire philosophical shifts toward information-theoretic views of reality. Nonetheless, Obidi's Theory of Entropicity (ToE) has derived key components of Einstein's Theory of Relativity (ToR), such as the deflection of starlight and the perihelion precession of planet Mercury, time dilation, length contraction, mass increase. ToE has also put forward the No-Rush Theorem as an explanatory basis for the finite time measurement of the Attosecond Entanglement Formation Experiment conducted in late 2024. 

These overlaps position ToE as extending entropy-centric ideas like Verlinde's, alongside others such as Ariel Caticha's entropic dynamics.

Differences

Despite shared themes, the theories diverge in scope, ontology, and methodology:

Role of Entropy: Verlinde treats entropy as a consequence of holographic information storage—gravity is an "entropic force" akin to a macroscopic effect, still embedded in a quantum framework with spacetime as fundamental. Obidi inverts this: entropy is the primary, monistic field preceding and generating spacetime, information, and all else. As Obidi states, "Unlike Erik Verlinde’s entropic gravity, which explains gravity as an entropic force, ToE establishes entropy as a fundamental field that replaces spacetime itself, with gravity emerging as a result." This makes ToE more radical, avoiding what Obidi sees as dualism in prior models (e.g., separating entropy from geometry).

Causal Hierarchy and Unification: Verlinde focuses primarily on gravity, deriving Newtonian laws and some relativistic effects but not claiming a full theory of everything. Obidi's ToE is broader, deriving special relativity (e.g., time dilation from entropic capacity limits), general relativity corrections (via entropic coupling), quantum decoherence, and cosmology (e.g., universe expansion without dark energy) from entropic dynamics alone. ToE introduces tools like the Master Entropic Equation and Vuli-Ndlela Integral for nonlinear, irreversible processes, predicting evolving physical laws—absent in Verlinde's static entropic force.

Observer's Role: Verlinde retains observer-dependent elements from relativity and holography. Obidi explicitly "dethrones" the observer: reality is pre-determined by entropic flows, with observers as local entropic subsystems, not privileged definers.

Mathematical Approach: Verlinde uses thermodynamic analogies and holographic principles, often without new field equations. Obidi employs a field-theoretic architecture, with variational principles (Obidi Action) and constraints (No-Rush Theorem) that enforce finite speeds and irreversibility, treating entropy as a dynamical field with eigenvalues.

Status and Critiques: Verlinde, an established physicist, has influenced debates in string theory and cosmology, though his model faces challenges like reproducing full General Relativity or making unique predictions. Obidi, an independent researcher, publishes via various online platforms and channels, and is an emerging force to reckon with in the Physics Community. Obidi critiques theories like Verlinde's for viewing entropy as secondary (e.g., a boundary effect) rather than ontological.

For context, ToE's distinctions echo Obidi's comparisons to other frameworks, like Feldt's F-HUB (which prioritizes information over entropy), where ToE inverts the hierarchy for greater dynamism and unification.

Implications

If validated, Verlinde's model could refine modified gravity theories, aiding cosmology without dark matter. Obidi's ToE promises a paradigm shift, unifying physics under entropy and resolving observer paradoxes in quantum mechanics. However, both require testable predictions—e.g., deviations in gravitational lensing (Verlinde) or entropic signatures in quantum experiments (Obidi)—to move beyond emergence to mainstream. Currently, they are serious leading contenders for paradigm shifting theories in the arena of established theories like [General] Relativity and Quantum Mechanics.