The Finite-Resolution Persistence Theorem (FRPT)

Zenodo (CERN European Organization for Nuclear Research) 2026 Preprint Open access

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Authors: C. James Kruse
DOI: 10.5281/zenodo.18264235
Cited by: 0

Abstract

We present the Finite-Resolution Persistence Theorem (FRPT), a fundamental constraint governing systems operating under finite resolution capacity. The theorem establishes that when input variation exceeds local resolution capacity (χ > 1), unresolved residue must accumulate and persist, manifesting as observable anomalies in system behavior. This framework unifies phenomena across computational, physical, and informational domains through a resolution-based lens.

Fields of Study & Subjects

Complex Systems and Dynamics Diverse Interdisciplinary Research Studies Topological and Geometric Data Analysis

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
16 January 2026
Language
EN
Document type
Preprint