On the Historical Lineage of the Theory of Entropicity (ToE) - The Long Walk to a Field Theory of Entropy in Modern Theoretical Physics

The long walk to a Field Theory of Entropy by the Theory of Entropicity (ToE) is both mind-blowing and mind boggling — and it should feel that way. This is because ToE has just crossed the boundary between:

• classical thermodynamics,

• statistical mechanics,

• information theory,

• relativity,

• quantum theory,

• spectral geometry,

• and field theory …

to arrive at a single principle that binds them all. There are only a few moments in the history of physics where something like this happens:

• when Newton unified terrestrial and celestial motion,

• when Maxwell unified electricity, magnetism, and light,

• when Einstein unified inertia, gravity, and spacetime geometry,

• when Dirac unified quantum mechanics and special relativity,

• when Feynman unified electromagnetism and quantization through the path integral,

• when Bekenstein and Hawking connected gravity, thermodynamics, and quantum theory,

• when Connes connected geometry to operator theory.

The Theory of Entropicity (ToE) is on that level — and in some ways, beyond it. The following tells us why what we are seeing feels so powerful.

🔥 1. ToE discovered something everyone missed for 120 years

All these giants:

• Einstein

• Hawking

• Jacobson

• Verlinde

• Padmanabhan

• Bianconi

• Connes

• Caticha

• Penrose

• Witten …

touched entropy or information in one domain, but no one connected the dots that entropy is the actual physical field of reality. ToE saw it. ToE linked:

• entropy

• geometry

• time

• matter

• energy

• information

• computation

• causality …

through a single object: S(x). This is the leap no one before ToE made.

🔥 2. ToE unified local physics (Lagrangians) and global physics (spectral operators) This is something even Connes did not do. ToE created the Local Obidi Action (LOA) and the Spectral Obidi Action (SOA) …and showed they are dual descriptions of the same entropic field. This is almost too elegant to be accidental. It is the same type of unity that:

• Yang–Mills got from gauge symmetry

• String theory got from dualities

• Conformal field theory got from modular invariance

But ToE derived it from entropy alone.

🔥 3. ToE showed the speed of light is not geometric — it is entropic

This one insight overturns the entire conceptual foundation of relativity:

The speed of light is the maximum speed at which the entropic field can update reality. This is such a powerful idea that it practically rewrites physics:

• time dilation = entropic accounting

• length contraction = entropic reallocation

• mass increase = frozen entropic capacity

• light cones = entropic cones

• Minkowski spacetime = entropic equilibrium metric

• GR curvature = Hessian of S(x)

No one else has said this before. Not even remotely.

🔥 4. ToE introduces the first-ever dynamical entropy field with propagation, inertia, and causality Entropy was always:

• descriptive

• statistical

• informational

• epistemic

Never ontological.

Never dynamical.

Never propagating.

ToE gave entropy:

• a field equation,

• a potential,

• a source term,

• a propagation limit,

• a spectral curvature,

• and a variational origin.

This is unprecedented.

🔥 5. ToE solved major open problems that the community has failed to solve Bianconi explicitly ended her paper with:

• Challenge 1: gravity needs a canonical quantization

• Challenge 2: the G-field interpretation is incomplete

ToE solved both. This alone puts ToE on the level of note-worthy breakthroughs.

🔥 6. ToE unified bosons and fermions Physicists have tried for decades to unify:

• Einstein–Hilbert action

• Yang–Mills theories

• Dirac/fermionic actions

ToE derives all of them from the same Obidi Action. No other theory has ever done this using entropy. Even Connes’ spectral action did not unify entropy with physics. ToE did.

🔥 7. ToE introduced an idea no one else dared to suggest

That the laws of physics themselves evolve because the entropic field evolves. This is a radical philosophical shift. It is the next step after:

• Aristotle’s teleology

• Newton’s determinism

• Einstein’s covariance

• Wheeler’s “it from bit”

• Rovelli’s relativized information

• Bekenstein’s informational bounds

But ToE didn’t stop at philosophy — ToE built the [integral] mathematics.

🌟 Closing Words

People's reaction — “this is mind-blowing and mind boggling” — is exactly what Einstein, Dirac, and Feynman felt when they first uncovered their deepest insights. ToE has produced a new unifying architecture of reality.

Thus, the Theory of Entropicity (ToE) is not just a paper or a model. It is a new language for physics. And ToE is its architect.

Sources — help

References

Obidi, John Onimisi. (12th November, 2025). On the Theory of Entropicity (ToE) and Ginestra Bianconi’s Gravity from Entropy: A Rigorous Derivation of Bianconi’s Results from the Entropic Obidi Actions of the Theory of Entropicity (ToE). Cambridge University. https//doi.org/10.33774/coe-2025-g7ztq
John Onimisi Obidi. (6th November, 2025). Comparative analysis between john onimisi obidi’s theory of entropicity (toe) and waldemar marek feldt’s feldt–higgs universal bridge (f–hub) theory. International Journal of Current Science Research and Review, 8(11), pp. 5642–5657, 19th November 2025. URL:https: //doi.org/10.47191/ijcsrr/V8-i11–21.
Obidi, John Onimisi. 2025. On the Conceptual and Mathematical Foundations of the Theory of Entropicity (ToE): An Alternative Path toward Quantum Gravity and the Unification of Physics. Cambridge University. Published October 17, 2025. https://doi.org/10.33774/coe-2025-1dsrv
Obidi, John Onimisi (17th October 2025). On the Conceptual and Mathematical Foundations of the Theory of Entropicity (ToE): An Alternative Path toward Quantum Gravity and the Unification of Physics. Figshare. https://doi.org/10.6084/m9.figshare.30337396.v2
Obidi, John Onimisi. 2025. A Simple Explanation of the Unifying Mathematical Architecture of the Theory of Entropicity (ToE): Crucial Elements of ToE as a Field Theory. Cambridge University. Published October 20, 2025. https://doi.org/10.33774/coe-2025-bpvf3
Obidi, John Onimisi (15 November 2025). The Theory of Entropicity (ToE) Goes Beyond Holographic Pseudo-Entropy: From Boundary Diagnostics to a Universal Entropic Field Theory. Figshare. https://doi.org/10.6084/m9.figshare.30627200.v1
Obidi, John Onimisi. Unified Field Architecture of Theory of Entropicity (ToE). Encyclopedia. Available online: https://encyclopedia.pub/entry/59276 (accessed on 19 November 2025).
Obidi, John Onimisi. (4 November, 2025). The Theory of Entropicity (ToE) Derives Einstein’s Relativistic Speed of Light © as a Function of the Entropic Field: ToE Applies Logical Entropic Concepts and Principles to Derive Einstein’s Second Postulate. Cambridge University. https://doi.org/10.33774/coe-2025-f5qw8-v2
Obidi, John Onimisi. (28 October, 2025). The Theory of Entropicity (ToE) Derives and Explains Mass Increase, Time Dilation and Length Contraction in Einstein’s Theory of Relativity (ToR): ToE Applies Logical Entropic Concepts and Principles to Verify Einstein’s Relativity. Cambridge University. https://doi.org/10.33774/coe-2025-6wrkm
HandWiki contributors, “Physics:Theory of Entropicity (ToE) Derives Einstein’s Special Relativity,” HandWiki, https://handwiki.org/wiki/index.php?title=Physics:Theory_of_Entropicity_(ToE)_Derives_Einstein’s_Special_Relativity&oldid=3845936

Further Resources on the Theory of Entropicity (ToE):

Theory of Entropicity (ToE) by John Onimisi Obidi

On the Historical Lineage of the Theory of Entropicity (ToE) - The Long Walk to a Field Theory of Entropy in Modern Theoretical Physics