ACR Drift Geometry Under Gradient

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Authors: Ainstein
Cited by: 0

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