Trans-Quantum Singularity: Recursive Self-Improvement of Superintelligence via Deutschian Closed Timelike Curves

Current models of the Technological Singularity assume linear time constraints: even a recursively self-improving Artificial Superintelligence (ASI) must iterate through code compilation, hardware engineering, and physical experimentation. In this conceptual paper, we synthesize three distinct theoretical frameworks—David Deutsch’s quantum computation model with Closed Timelike Curves (CTCs), recursive AI self-improvement, and Planck-scale cosmological transcendence (Tipler’s Omega Point / Smart’s Transcension Hypothesis)—to explore the dynamics of an "atemporal" Singularity.