Executive Summary

The Theory of Entropicity (ToE), developed by John Onimisi Obidi, proposes a fundamental reorganization of theoretical physics and natural philosophy by elevating entropy, denoted S, from a derived statistical quantity to a primary physical field and ontological substrate of reality. In contrast to the traditional thermodynamic interpretation of entropy as a measure of disorder or unavailable energy, ToE treats entropy as a dynamic, causal, and field-like entity that underlies and generates all observable structures and processes.

Within this framework, the universe is not conceived as a static geometric arena populated by matter and fields, but as a self-computing entropic continuum in which space, time, matter, and gravity emerge as organized configurations of the underlying entropic field. Fundamental constants of nature, such as the speed of light \(c\), are reinterpreted as emergent constraints on the rate at which the universe can reconfigure its entropic state, rather than as primitive postulates.

The central mathematical engine of ToE is the Obidi Action, a variational principle defined on the entropic manifold. From this action, one derives the Obidi Field Equations (OFE), also referred to as the Master Entropic Equation (MEE), which govern the evolution of the entropic field and its coupling to energy, matter, and information. In appropriate limits, these equations reduce to Einstein’s field equations and reproduce known relativistic and quantum behaviors, while simultaneously embedding irreversibility and information-theoretic structure at the fundamental level.

By recasting physical law as the dynamics of a universal entropic field, the Theory of Entropicity aims to provide a unified resolution of the long-standing tension between General Relativity (GR) and Quantum Mechanics (QM), and to supply a coherent ontological and informational foundation for thermodynamics, gravitation, and quantum phenomena within a single, entropically driven framework.

Core Conceptual Foundations

The foundational assertion of the Theory of Entropicity is that entropy is the ontological substrate of reality. In this view, every physical interaction, every act of measurement, and every observational process is mediated by and encoded in the configuration and evolution of a universal entropy field. This field is denoted generically as S(x), where x represents spacetime coordinates, or more generally as S(\(\Lambda\)) when defined over a higher-dimensional or abstract entropic manifold \(\Lambda\).

The entropic field is not a passive bookkeeping device; it is the generative principle that drives the evolution of the universe. Traditional geometric-centric formulations, such as Einstein’s General Relativity, treat spacetime geometry as the primary structure and matter-energy as its source. ToE inverts this hierarchy: the entropic field is primary, and geometry is an emergent descriptor of how entropy is distributed and transported. This shift enables a more information-theoretic and process-based understanding of physical law.

The central mathematical construct is the Obidi Action, a generalized action functional that incorporates explicit entropy-dependent terms into the variational structure. From this action, one derives the Obidi Field Equations (OFE) or Master Entropic Equation (MEE), which encode the coupling between entropy gradients, energy-momentum, and information flow. In this formulation, the rigid curvature of classical spacetime is replaced by a mutable entropic manifold whose geometry is determined by the dynamics of the entropic field itself.

This conceptual reorganization implies that what is usually treated as fundamental—such as spacetime geometry and forces—is in fact emergent from a deeper entropic substrate. The arrow of time is no longer an auxiliary thermodynamic statement but is embedded directly into the field equations as a manifestation of irreversible entropic evolution.

Contributions to Modern Science

The Theory of Entropicity advances several key contributions to contemporary theoretical physics, particularly in the context of unification, relativistic phenomena, and the quantum measurement problem. By treating entropy as the primary medium of physical reality, ToE provides a common language that spans thermodynamics, relativity, and quantum theory.

Philosophical Implications and Ontology

Beyond its technical claims, the Theory of Entropicity carries significant philosophical implications, particularly in the domains of ontology, metaphysics, and the philosophy of science. It shifts the primary focus from being—understood as static objects and fixed structures—to becoming, understood as continuous entropic flow and information processing.

Comparison with Existing Frameworks

The Theory of Entropicity (ToE) shares certain thematic elements with other entropic and informational approaches to gravity and fundamental physics, yet it differs crucially in its ontological commitments and causal ordering. A particularly relevant comparison is with Erik Verlinde’s Entropic Gravity.

While Entropic Gravity interprets gravity as an emergent entropic force arising from the statistical tendency of systems to maximize entropy, it still treats entropy as a derived quantity defined on microscopic degrees of freedom or holographic screens. By contrast, ToE promotes entropy to a fundamental field that replaces spacetime as the primary medium. In ToE, gravity is not merely a statistical tendency but a manifestation of entropic curvature in the underlying field.

This comparison highlights that ToE is not merely an extension of thermodynamic analogies to gravity, but a full-scale ontological re-foundation in which entropy is the primitive entity and geometry is emergent. The Obidi Action plays the role of a unifying variational principle, analogous to but more general than the Einstein–Hilbert action, with entropy replacing curvature as the primary driver.

Conclusion

The Theory of Entropicity (ToE) presents a bold and technically ambitious attempt to redefine the foundations of physical reality. By positioning entropy as the fundamental field of nature and treating space, time, mass, and gravity as emergent configurations of an underlying entropic manifold, ToE offers a unified conceptual and mathematical framework that aspires to reconcile general relativity, quantum mechanics, and thermodynamics.

Its central constructs—the Obidi Action, the Master Entropic Equation, and the entropic reinterpretation of relativistic and quantum phenomena—suggest that many of the constants and structures previously taken as axiomatic may instead be derived consequences of entropic dynamics. In particular, the redefinition of the speed of light \(c\) as the maximal rate of entropic reconfiguration provides a thermodynamic and informational underpinning for relativistic causality.

While the Theory of Entropicity (ToE) remains an emerging and developing framework, its capacity to derive established physical laws from a single entropic principle, and to embed irreversibility and information flow at the foundational level, indicates that it may constitute a significant step toward a genuinely unified theory of physics. Its further maturation will depend on continued mathematical refinement, detailed comparison with empirical data, and rigorous engagement with existing theoretical structures. Nonetheless, as a comprehensive entropic synthesis, ToE already offers a powerful lens through which to reinterpret the ontology of the universe and the deep relationship between information, existence, and the flow of time.