Ginestra Bianconi's Gravity from Entropy and John Onimisi Obidi's Theory of Entropicity (ToE) — Series 1

The main difference is that Bianconi's Gravity from Entropy treats gravity as emerging from relative entropy between two metrics, while the Theory of Entropicity (ToE) posits entropy as the fundamental physical field itself. ToE is a broader framework that encompasses Bianconi's model as a specific limiting case, rather than a separate theory. 

Feature 

Theory of Entropicity (ToE)

Bianconi's Gravity from Entropy

Fundamental entity

In ToE, Entropy is a fundamental, dynamic field that generates spacetime, gravity, and motion.

In Bianconi, Entropy is a measure derived from information-geometric or probability concepts, which is then used to describe gravity.

Role of entropy

The gradients of this entropy field cause curvature and motion.

The relative entropy between two metrics is what generates gravity.

Framework

ToE is a comprehensive framework from which other entropic theories, like Bianconi's, emerge as special cases or limiting cases.

Bianconi's Gravity from Entropy is a specific model that can be recovered from the broader ToE framework.

Cosmological implications

ToE Can explain the cosmological constant and dark matter as a spectral property of the entropic field.

The G-field in Bianconi's model has been suggested as a candidate for dark matter.