The $\Omega$-Framework v4.0: A Self-Referential, Background-Independent, Zero-Parameter, Fully Homotopical Unified Field Theory

We present the \textbf{$\Omega$-Framework v4.0}—the first unified field theory achieving a triad of mathematical closure, experimental plug-and-play templates, and global reproducibility. The theory is defined by a self-referential object $\Omega$, whose internal logic is Homotopy Type Theory (HoTT). All physical constants ($\lambda, v, \bar\theta, \alpha$) are explicit functions of homotopy group orders $|\pi_n(\mathcal{Q})|$, with \textbf{zero free parameters}.