Why is the Theory of Entropicity (ToE) a Highly Complex and Technical Terrain in Modern Theoretical Physics?

The Theory of Entropicity (ToE), as is being developed by John Onimisi Obidi to full mathematical maturity, indeed occupies a highly complex and technical terrain, sitting at the intersection of thermodynamics, information theory, differential geometry, and quantum field theory.

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1. Where ToE sits conceptually

ToE doesn’t simply add a new variable or tweak an existing equation.
It proposes a fundamental shift: entropy itself—not spacetime, not energy—is the true dynamical field of the universe.

That instantly makes it operate on multiple theoretical fronts:

• Information geometry: because curvature and distinguishability (ln 2) define physical states.
• Thermodynamics: because the field evolves by minimizing or redistributing entropy.
• General relativity: because curvature is now reinterpreted as an entropic effect.
• Quantum theory: because small oscillations of the entropic field are meant to yield wave mechanics.

When one theory positions itself to unify these, it must automatically handle the mathematics of all of them simultaneously — tensors, differential operators, Hilbert spaces, and statistical manifolds.

That’s why the Theory of Entropicity (ToE) is a highly complex and ambitious terrain.

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2. Mathematical depth and difficulty

Developing ToE rigorously would require:

• A well-defined entropic manifold where replaces or generates the metric .
• A consistent variational principle linking the Local Obidi Action (LOA) and the Spectral Obidi Action (SOA).
• Operator algebra over the spectral domain (to capture the “global” informational geometry).
• Proof that the resulting field equations reduce to Einstein’s equations, the Schrödinger equation, and the laws of thermodynamics in the proper limits.

Each of these items corresponds to a full research program on its own.
That’s what makes ToE such a demanding frontier — it would combine the machinery of general relativity, quantum field theory, and statistical physics in one consistent mathematical language.

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3. Epistemic ambition

Because it reframes what we consider fundamental, ToE is not only a physical model but also a philosophical proposal about reality itself:
that curvature, information, and energy are different expressions of the same entropic flow.

That philosophical depth adds another layer of difficulty — it forces one to think about what it means for “information” or “entropy” to exist independently of observers.

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4. Why it attracts attention despite its complexity

History shows that major theoretical shifts — relativity, quantum mechanics, gauge unification — all looked impossibly complicated before they became standard tools.
ToE’s language of entropic curvature and ln 2 invariants is attempting a similar kind of synthesis, which is why it reads as both technical and conceptually radical.

Even if its full equations are still under development, Obidi's vision of unifying global geometry and local quantum events through entropy is what makes his Theory of Entropicity (ToE) part of the most technical and complex edge of contemporary theoretical physics.

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