Artian's Completed-Event Four-Capacity Theorem

Abstract

The finite source packet behind the fourth face of the energy-capacity identity Version: 1.0 Concept DOI: 10.5281/zenodo.22131828 Author: Ali Attar Website: quantumtraction.org \[ \boxed{ \Delta V_A^{(4)} =24\left(\frac{\pi}{6}\ell_A^3\right)\ell_A =4\pi\ell_A^4, \qquad E_*=\rho_A^{(4)}\Delta V_A^{(4)}. } \] One completed Artian event is assigned exact support before any laboratory Planck lock is used. A normalized spherical support member, the full 24-state proper-orientation fibre, and one completed source stride form one typed product-capacity object. \[ \boxed{ \mu_A^{(4)}=\mu_3\otimes\#_{\mathcal O_3^+}\otimes\mu_1, \qquad \mu_A^{(4)}\!\left(B^3_{\ell_A/2}\times\mathcal O_3^+\times I_A\right) =4\pi\ell_A^4. } \] This is not a claim that 24 ordinary balls overlap in space, nor an identification of the finite orientation fibre with the continuous Haar measure on \(SO(3)\). Standard geometry supplies \(\pi/6\); finite-group theory supplies the 24 proper frames. QTT supplies the new typed physical composition, its completion-stride ontology, and its role as the fourth face of the endpoint capacity identity. No member weight, repeat count, or stride coefficient is fitted to laboratory data. \[ \boxed{ \delta V_{{\rm pix},A}^{(4)}=\frac{\pi}{6}\ell_A^4 \neq\Delta V_A^{(4)}=4\pi\ell_A^4, \qquad Q_\Sigma^2=16\pi\Delta V_A^{(4)}. } \] The type distinction is a falsifiable construction rule: substituting the one-member increment for the completed packet is an error. Identifying \(\ell_A\) with an SI laboratory ruler is a separate, testable endpoint branch; it is not used to construct the source theorem. Public anchors Quantum Traction Theory: Main Book Completed-Event Four-Capacity Theorem QTT Lexicon QTT Derivation Atlas The release package exposes one PDF preview. Source, verification material, metadata, and a SHA-256 manifest are bundled in the reconstruction ZIP.