The Theory of Entropicity (ToE) Living Review Letters Series - Letter I: The Ontological Primacy of Entropy

This Letter presents the foundational thesis of the Theory of Entropicity: that entropy is not a derived statistical quantity, not a measure of disorder, and not an epistemic accounting device, but the primary ontological field from which all physical structure emerges. At the center of this framework lies the entropic field, a universal, continuous, local, and dynamical scalar field defined over a differentiable structure called the entropic manifold. This field serves as the causal substrate of reality. Spacetime geometry, gravitational phenomena, quantum behavior, matter, and information are reconceived as emergent properties arising from entropic gradients, curvature, and dynamics rather than as fundamental primitives of nature. The Letter introduces the Obidi Conjecture, the formal assertion that entropy constitutes a fundamental, real, dynamical field underlying all physical phenomena, and that the conventional hierarchy of physics, in which geometry and fields are primary and entropy is secondary, must be inverted. The Obidi Action is presented as the variational principle governing entropic dynamics, encoding both local differential structure, global spectral consistency through a dual formulation. The philosophical and physical framework arising from these foundations is termed ontodynamics: the study of existence as entropic motion. This work is positioned relative to established programs in entropic gravity, including contributions by Verlinde, Jacobson, Padmanabhan, and Bianconi; information geometry in the tradition of Amari, Čencov, Fisher-Rao metric, and the Fubini-Study metric; and emergent spacetime research across holography and black hole thermodynamics. The Theory of Entropicity does not extend these programs but subsumes, transcends them, eliminating spacetime, quantum states.