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The Entropic Dimensional Framework

Submitted:

29 December 2025

Posted:

30 December 2025

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Abstract
The Entropic Framework (EDF) reinterprets the entropy arrow and dimension hierarchy as it identifies in the current paradigm the cause for open issues and singularities yet to be solved by Particle and Cosmological Physics. In EDF asymptotic approach, dimensional mapping find a natural limit point in a pregeometric zero dimensional constraint. The same perspective settles in the 0D the maximum entropy. The Asymptotic Equipartition Property (AEP) for this maximum is S0 = ln 2. The time arrow tells us entropy should increase toward higher level dimensions, therefore from 4D to 1D, in opposite of the longstanding view. EDF formalizes this through four functorial projections Pn (n = 0, 1, 2, 3) with non-trivial kernels, incorporating supersymmetric Golden algebras, Fibonacci divisors, braid group representations, and writhe saturation conditions. The framework derives three fermions generations from soliton triplication; Planck’s constant ¯h = Scycle/12, from a twelve-fold angular kernel; color confinement, from braid closure at twelve crossings; Einstein gravity G ∝ 144−1, from writhe saturation and strict ultraviolet finiteness at all loop orders; and a monotonic entropic descent S0 > S1 > S2 > S3 > S4 → 0 ruled by thermodynamic. EDF provides four testable predictions: 1) Twelve-fold spectral resonances; 2) Tunable gravitational coupling in analogues; 3) Discrete attosecond temporal bins; 4) Entropy drift in quantum systems.
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