On the Key Philosophical Ontologies of the Theory of Entropicity (ToE)

The core ontology of John Onimisi Obidi's Theory of Entropicity (ToE), which incorporates elements from Ginestra Bianconi's work, posits entropy as the fundamental, dynamic field and causal substrate of reality itself, from which all physical phenomena, including space, time, gravity, and quantum mechanics, emerge. 

Key Ontological Principles 

The ToE introduces a radical shift from conventional physics, where entropy is typically considered a statistical, emergent property of a system: 

Entropy as a Fundamental Field: 

ToE elevates entropy (S(x)) from a derived, statistical measure to a continuous, local, and dynamic physical field that permeates all existence, similar to the electromagnetic or Higgs fields.

Emergence of Spacetime: 

Space and time are not a pre-existing backdrop but rather emergent manifestations of the entropic field's dynamics. Time is the irreversible flow of entropy, while space is the geometry of entropic gradients.

Gravity as Entropic Curvature: 

Gravity is not a fundamental force, but a consequence of the entropic field's curvature, where matter represents "localized entropic constraint" and gravity is entropy attempting to restore flow/equilibrium.

Information-Geometry Isomorphism: 

The theory proposes a deep link between information geometry (using metrics like the Fisher–Rao and Fubini–Study) and physical geometry. The curvature of probability manifolds is considered isomorphic to the curvature of spacetime, unified through the entropic field.

Emergence of Physical Laws: 

The fundamental equations of physics (e.g., Einstein–Hilbert, Yang–Mills, Klein–Gordon, Dirac actions) are treated as natural projections or boundary cases of a single, universal entropic field theory described by the "Obidi Action" and the "Vuli-Ndlela Integral".

Finite Speed of Entropic Rearrangement: 

The universal speed of light (\(c\)) is reinterpreted not as an arbitrary constant, but as the maximum rate at which the entropic field can process and redistribute information, thus ensuring causality.

Irreversibility as a Fundamental Property:

Irreversibility and the arrow of time are inherent properties of the entropic field's dynamics, rather than imposed boundary conditions. 

Relation to Bianconi's Work 

Bianconi's prior work on gravity from entropy, which introduced a G-field and an emergent cosmological constant, is incorporated and expanded within the ToE framework. The ToE clarifies that Bianconi's constructs are contained as special or boundary cases of the broader entropic field theory, where the G-field and cosmological constant arise from the global conservation of entropy flux.