From the Temperature of Information to the Temperature of Geometry: The Foundations of the Theory of Entropicity (ToE) and the Unification of Quantum and Entropic Reality - A Unified Framework for the Thermodynamic, Quantum, and Geometric Foundations of Physical Reality

The Theory of Entropicity (ToE) proposes a unification of physics through the principle that entropy and information form the true foundation of physical reality. In this framework, information is not a secondary description of matter and energy, but their generative source. Spacetime, matter, and gravitation emerge as thermodynamic projections of an invisible informational manifold governed by entropic dynamics. A key relation, ℏc = kBTSℓS, links quantum, thermodynamic, and geometric constants, defining the bridge between information, energy, and curvature. From this, ToE constructs an informational action (the Obidi Action) and derives the Informational–Geometric Field Equation, which generalizes Einstein’s equation to an informational domain. Phenomena such as the Casimir effect, inertial mass, and gravity are reinterpreted as consequences of entropic curvature and informational temperature, without recourse to virtual particles or external quantum vacua. ToE thus provides both a physical and philosophical synthesis: the visible universe is the thermodynamic image of an informational continuum, and the laws of physics are expressions of its [self–organizing] dynamic entropy flow.