Non-elementary Complexity of the Theory of Entropicity (ToE): A Radical New Physics and Philosophy of Nature and Reality
The Theory of Entropicity (ToE) is conceptually complex because it posits entropy, not spacetime, as the fundamental fabric of reality, requiring a radical shift from classical physics to an iterative computational framework, blending information geometry, non-equilibrium thermodynamics (like Renyi/Tsallis), and AI-like self-correction, making its mathematics involve intricate concepts like
- Conceptual Shift: Replaces spacetime with entropy as the primary substrate, making space, time, and gravity emergent properties of an underlying entropic field.
- Non-Classical Mathematics: Uses tools from information geometry (like Fisher-Rao metrics, -connections) and non-extensive entropy (Tsallis/Rényi) instead of traditional differential geometry.
- Iterative & Computational Nature: Views the universe as a continuous, self-correcting computation, akin to AI learning, where laws are dynamic, not fixed.
- Entropic Derivations: Derives relativistic effects (time dilation, mass increase) from entropic capacity constraints, rather than postulates, adding layers of complex interpretation.
- New Integrals: Introduces concepts like the "Vuli-Ndlela Integral" to sum over informational states, not mechanical paths, and the "Obidi Action" for dynamics.
- It's a proposed "Theory of Everything" (ToE) that unifies General Relativity, Quantum Mechanics, and Thermodynamics under one entropic principle, a massive undertaking.
- It challenges core assumptions about reality, causality, and the observer's role, requiring deep conceptual leaps.
- While conceptually powerful, it demands significant further mathematical rigor, quantization, and direct experimental validation, according to reviews.
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