Key Achievements of the Theory of Entropicity (ToE): A Brief Outlook

The Theory of Entropicity (ToE), first proposed and rigorously developed in 2025 by John Onimisi Obidi, is a theoretical physics framework declaring that entropy is a fundamental field. This theory aims to unify thermodynamics, general relativity (GR), and quantum mechanics (QM) by proposing that space, time, matter, and gravity emerge from this entropic field. 

Key achievements and concepts of the Theory of Entropicity (ToE) include establishing entropy as a continuous field and introducing the Master Entropic Equation (MEE) to describe spacetime curvature based on entropic gradients. It proposes a unification of classical, quantum, and relativistic physics as manifestations of this underlying entropic substrate. The theory includes the Obidi Action Principle (OAP), which defines how the universe optimizes entropy flow. 

ToE redefines relativistic and quantum phenomena. Relativistic effects such as mass increase, time dilation, and length contraction are derived from entropic principles, with the speed of light interpreted as the maximum rate of entropic field reorganization. Quantum entanglement is modeled as an entropy-mediated process limited by the "No-Rush Theorem," and wavefunction collapse is viewed as a finite-time entropic transition. 

The theory utilizes key mathematical and conceptual tools such as the No-Rush Theorem, which suggests physical interactions require finite time for entropic synchronization. It also includes the Vuli-Ndlela Integral, which modifies the Feynman path integral with an entropy-based weight, and the Entropic Equivalence Principle (EEP), stating that processes with equivalent entropic field reconfigurations have equivalent entropic costs. Mathematical tools like Local and Spectral Obidi Actions are used for multi-scale analysis. 

Cosmological and practical implications include positioning the second law of thermodynamics as a driver of the "arrow of time". It suggests gravity is an emergent property of entropic gradients caused by mass, offering an alternative perspective to dark matter. The theory also extends holographic principles by proposing that information is encoded in the boundary behavior of the entropic field. 

As of late 2025, the theory has been in vigorous and rigorous development and research across various platforms and channels.