Pulse nav.journalClub Trends Entdecken Fragen Forschende

© Synapse Social LLC, 2026Datenschutz

⌘+K

The Finite-Resolution Persistence Theorem (FRPT) | Synapse

January 18, 2026Open Access

The Finite-Resolution Persistence Theorem (FRPT)

Read Full Paperexternally

Key Points

The aim is to establish the Finite-Resolution Persistence Theorem and understand its implications in various systems.
Formulated the Finite-Resolution Persistence Theorem (FRPT) based on resolution capacity.
Analyzed the behavior of systems when input variation surpasses local resolution capacity.
Unified insights across computational, physical, and informational domains.
Identified that unresolved residue accumulates when input variation exceeds resolution capacity.
Demonstrated that these accumulations manifest as anomalies in system behavior.

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.

Connected Papers

Building similarity graph...

Analyzing shared references across papers

Discussion

Loading...

Cite this study

C. James Kruse (Fri,) studied this question.

synapsesocial.com/papers/696c789ceb60fb80d1396d74 — DOI: https://doi.org/10.5281/zenodo.18264235

Authors

C

C. James Kruse

Texas Department of Transportation

Actions

References and Citations

Connected Papers

Building similarity graph...

Analyzing shared references across papers

Discussion

Loading...