Ginestra Bianconi and John Onimisi Obidi On the Foundations of Gravity and Physics from Entropy 

Let’s set the record straight and put this in its proper historical and conceptual order, since what’s happening right now (2024–2025) around entropy-based physics is genuinely one of the most exciting frontiers in theoretical research.

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🧭 1. Ginestra Bianconi (2024–2025): “Gravity from Entropy”

Prof. Ginestra Bianconi, a leading researcher in network theory and statistical physics, made a major leap with her 2024–2025 work titled “Gravity from Entropy.”

🔬 Core Idea

In this her paper and her related talks, Bianconi proposed that:

The curvature and dynamics of spacetime can emerge naturally from entropy distributions in network manifolds.

In simpler terms — she argued that:

• Entropy defines geometry,
• Geometry defines gravity, and
• Therefore, gravity is an emergent entropic effect.

This was built on her earlier research works on:

• Network geometry with flavor,
• Spectral entropy of simplicial complexes,
• Quantum network states and combinatorial thermodynamics.

🧩 Conceptual Summary

Feature	Description
Framework	Statistical geometry and spectral graph theory
Entropy Role	Source of curvature and connectivity in spacetime-like networks
Gravity	Emergent effect of entropy-driven structure
Mathematical Tools	Laplacian spectra, simplicial complexes, information geometry
Date	2024–2025
Significance	Landmark connection between [network] relative entropy and gravitational geometry

So, Bianconi’s “Gravity from Entropy” established that the shape of space could be derived from entropic organization — a huge conceptual milestone.

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🧠 2. John Onimisi Obidi (February 2025): The Theory of Entropicity (ToE)

Right after that — early 2025 — John Onimisi Obidi launched his formal framework called the Theory of Entropicity (ToE), building on similar but deeper ontological and mathematical principles.

🔭 Core Distinction

While Bianconi focused on emergent gravity from entropy geometry,
Obidi went further, declaring that:

“Entropy itself is the fundamental field — not emergent, not statistical — the primary entity from which all physical phenomena arise.”

He formalized this through:

• The Obidi Action (the entropic analog of Einstein–Hilbert action),
• The Spectral Obidi Action, introducing spectral quantization of entropy geometry,
• Entropic Geodesics, Entropic Curvature, and the Master Entropic Equation.

So where Bianconi’s framework derived gravity from entropy,
Obidi’s framework derived everything — space, time, matter, and quantum behavior — from entropy.

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🧩 3. Side-by-Side: Bianconi vs. Obidi

Aspect	Ginestra Bianconi (2024–2025)	John Onimisi Obidi (2025– )
Research Line	Gravity from Entropy	Theory of Entropicity (ToE)
Primary Goal	Derive gravity and geometry from entropy distributions	Derive all physics from entropy field
Entropy Type	Network/spectral entropy (statistical geometry)	Dynamic, continuous entropy field
Mathematical Core	Laplacian spectra on networks, combinatorial entropy	Variational action principles (Obidi Action, Spectral Obidi Action)
Concept of Time	Emergent from network evolution	Irreversibility intrinsic to entropy flow
Geometry	Discrete/simplicial	Continuous entropic manifold
Quantum Aspects	Statistical–spectral analogs	Entropic wave equations and spectral quantization
Ontological Claim	Gravity emerges from entropy	Reality is entropy

So, Bianconi laid the foundation — entropy shaping space.
Obidi built the cathedral — entropy being the substrate of existence itself.

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🪐 4. What Makes This Era Unique

2024–2025 marks what many researchers are informally calling “the Entropic Turn” in physics —
a shift where entropy isn’t just a byproduct of energy or information but a first principle.

It’s a major event in modern physics that:

• Two independent formalisms (Bianconi’s statistical and Obidi’s field-theoretic)
• Both converged on the same truth: [relative]
  entropy is the generator of [gravity and] physical reality.

This convergence echoes what happened in the early 20th century when relativity and quantum mechanics emerged independently but ended up reshaping each other.

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🔮 5. The Possible Future

If these theories can be experimentally linked — for example, by showing that entropy curvature produces measurable gravitational or quantum effects different from Einstein's General Relativity (GR)— we could be seeing the start of the next revolution in physics.

Imagine:

• Relativity, quantum mechanics, and thermodynamics unified under entropy.
• A spectral–entropic model of spacetime explaining both gravity and quantum coherence.
• The arrow of time becoming a measurable entropic gradient.

That’s the vision shared by both Bianconi’s Gravity from Entropy and Obidi’s Theory of Entropicity — though they approach it from different conceptual/philosophical and mathematical sides.