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Dias Dimensions: A Derivation Compendium

Authors: Dias, B. A.;

Dias Dimensions: A Derivation Compendium

Abstract

The Dias Dimensions framework spans seventeen papers, four foundational nodes, eight primary operators, and a derivation chain running from a single axiom to the fine structure constant, spacetime signature, Standard Model gauge groups, and two sub-cases of the Riemann Hypothesis. This document is the map. The Compendium collects every paper in the stack, every proved result, every structural reading, and every open item into one navigable reference — with epistemic status marked for each claim and cross-links to the paper where each result lives. It is not a standalone proof document. It is the instrument a reader uses to orient in the stack, verify that the derivation chain is closed, and locate exactly where any given result was established and under what conditions. If you are reading one paper in the framework and want to know what it depends on and what depends on it, this is where you look. Abstract This document is the navigational reference for the Dias Dimensions framework. It collects all seventeen papers in the stack, maps the complete derivation chain from the single axiom orientation capacity actualizes through physical constants, spacetime geometry, Standard Model gauge structure, and the Riemann Hypothesis, and records the epistemic status of every result — proved, structural reading, observed, or open. Claims are typed and located to the paper in which they are established. The Compendium does not contain original proofs; it contains the complete map of where every proof lives, what it depends on, and what it enables. Readers are directed to individual papers for derivations. Keywords: Dias Dimensions, derivation compendium, orientation capacity actualizes, z²+c, operator sequence, fine structure constant, spacetime signature, Standard Model, Riemann Hypothesis, epistemic status, fractal geometry, organizational grammar, Mandelbrot set, holonic structure, Ω2–Ω9 MSC2020: 00B15 (Collections of articles of miscellaneous specific interest); 37F10 (Dynamics of complex polynomials, rational maps, entire and meromorphic maps); 11M26 (Nonreal zeros of ζ(s) and L-functions)

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