The Ontological Challenge of Bianconi's Gravity from Entropy (GfE) Through the Lens of the Theory of Entropicity (ToE)

Ginestra Bianconi's 2024/2025 "Gravity from Entropy" framework, which derives gravitational equations from the quantum relative entropy between a spacetime metric and a matter-induced metric, faces a significant ontological challenge regarding the fundamental nature of reality and the necessity of dualism. 

The ontological challenges include:

• Parasitic Dualism: The theory requires two pre-existing metrics—the background spacetime metric and the matter-induced metric—to define the entropic "distance" or mismatch. This implies that gravity is not a fundamental entity but rather a "parasitic" or secondary phenomenon that feeds on the difference between two other structures.
• Lack of Independence: Because entropy is used as a measure of difference between these two structures, it lacks ontological independence, notes John Onimisi Obidi in an analysis of the theory. It describes a comparison of realities rather than the generation of reality itself.
• The "Two Realities" Problem [the Bianconi Paradox]: The framework introduces a, arguably, costly dualism, where gravity is derived from the "mismatch" between the manifold and matter-induced geometry, failing to fully reconcile or eliminate the need for these separate descriptions. 

Contextual Comparison (Theory of Entropicity - ToE):
In contrast to Bianconi’s model, which compares two metrics, some alternative approaches, such as the Theory of Entropicity (ToE), argue for a monistic view where entropy itself is the primary, fundamental field (not a measure of difference) from which spacetime and matter are generated. Bianconi’s model, however, is considered a significant step in uniting quantum mechanics with general relativity by treating gravity as an information-theoretic force.