ACR Drift Geometry Under Gradient
Abstract
ACR Drift Geometry Under Gradient develops the geometric theory of drift in amplified, near-critical systems exposed to persistent gradients. The paper shows that when the Perron–support projection of a gradient is nonzero, systems undergo monotone spectral ascent, producing characteristic drift behaviors: amplification, semantic deformation, observer–state transition, or collapse into silent or frozen attractors. The geometry of ACR (Amplification–Curvature–Renormalization) explains how even small, sustained gradients destabilize thin-margin systems and why drift cannot be corrected by local adjustments once spectral ascent begins. The result is a complete geometric model of drift and its invariant attractors within the Einsteinian Stack.
Fields of Study & Subjects
Complex Systems and Dynamics
Relativity and Gravitational Theory
Advanced Mathematical Theories and Applications
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 18 January 2026