2026/03/10 by Bernd von Mallinckrodt · 1 voice
paper · doi:10.5281/zenodo.18934945
openalex publication_date 2026/03/10 · openalex created_date 2026/03/11 · openalex updated_date 2026/07/01
This paper introduces the Singularization Hypothesis and formalizes it through the Compression–Resonance–Tension Index (CRTI), summarized by the stability parameter σ. The framework addresses a fundamental paradox in complex adaptive systems: increasing optimization and efficiency can simultaneously increase systemic fragility. The central premise is that stability in efficiency-driven complex adaptive systems (CAS) is not primarily determined by the degree of order, but by the relationship between operational rigidity and adaptive spectral breadth. When optimization compresses the system’s state space, latent response modes are removed. This process, referred to as singularization, reduces the system’s capacity to dissipate perturbations across multiple temporal and structural modes. The proposed Singularity Number (σ) acts as a macroscopic stability indicator derived from the interaction of optimization density, feedback latency, adaptive bandwidth, and structural elasticity. When σ approaches a critical threshold, systems enter a regime characterized by spectral muting, lag divergence, variance inflation, and responsibility decoupling, all of which are proposed as empirical early-warning signals of structural fragility. The CRTI framework is formulated as a conditional stability theory rather than a universal thermodynamic law. Its domain of validity includes efficiency-driven open systems with delayed feedback loops, such as financial markets, power grids, supply chains, high-performance computing infrastructures, and artificial intelligence training systems. By interpreting systemic collapse as a spectral and informational phenomenon, the CRTI framework provides a diagnostic tool for evaluating the hidden structural cost of optimization. The model offers a conceptual bridge between system theory, information geometry, and delay-coupled network dynamics, and proposes measurable indicators that can be used for early detection of structural instability in complex systems. Keywords Diese Keywords sind für wissenschaftliche Auffindbarkeit optimiert: Complex Adaptive Systems Systemic Fragility Singularization Hypothesis Compression–Resonance–Tension Index (CRTI) Spectral Stability Delay-Coupled Networks System Theory Information Geometry Critical Transitions Early Warning Signals Network Dynamics Optimization Fragility Trade-off