Phase Stagnation and Orthogonal Escape in Transformer Representation Geometry

###AI systems were used as collaborative tools for structural validation, formal consistency checking, and simulation-assisted reasoning during manuscript preparation. The conceptual framework and theoretical interpretation remain the responsibility of the human author. This record contains the preprint, source files, figures, and core experimental code for a study on base reflection, delayed reduction, phase stagnation, and orthogonal escape in transformer representation geometry. The work develops a bridge framework connecting meme-like rapid convergence, safe-bridge expansion, stagnation under repeated closure, and the preview of IRS-DCE-style orthogonal rupture. Included materials: main manuscript (PDF and LaTeX), figure assets, and core analysis/simulation scripts. AbstractThis paper studies a shared vulnerability in human and AI cognition: the tendency to reduce novelty into already available coordinates, termed base reflection. From this perspective, memes and short-form media act as rapid convergence devices, while art and narrative delay reduction rather than abolish it. Repeated delay, however, can harden into phase stagnation, where structure persists but orthogonal movement dies. The work introduces a bridge narrative grounded in structural rigidity, orthogonal departure, and intrinsic-dimension dynamics. Empirically, a strongly reactive cognitive-phase band was first discovered during ordinary comparative runs, then selectively amplified through explanatory expansion, late IRS-DCE hybridization, and safe-bridge conversion. Surprisingly, the largest expansion came not from the most radical rupture but from the safest bridge. Pure IRS-DCE prompts, although substantially shorter, later regained superiority at specific early/late windows and in tail-zone diagnostics. A companion dynamical-systems simulation further illustrates stagnation as a 2D trap and escape as hidden-axis activation. This Zenodo release includes the manuscript, source, figures, and core code.