Every paper recommended by the Institute's open-review panel and
cleared by the curation team is published here as an article of
Persistence, the Institute's journal. Each entry carries a DOI
(under the Institute's own prefix; the five founding papers keep their
Zenodo DOIs), the panel's full review record, and a permanent permalink
(e.g. /publications/the-existence-threshold). How the
review works: /review-process. To submit:
/submit.
Can a restricted computational model predict well while omitting distinctions required by its explanatory task? We define boundary sufficiency relative to an outcome, a representation, and a declared family of input interventions. Exact sufficiency requires a common response law on every fiber of the retained…
In January 2026 two papers were deposited on Zenodo establishing that information loss at dimensional boundaries in discrete systems is a geometric phenomenon with an architecture-independent magnitude: 86.01% ± 2.39% in cellular automata across 1,500 patterns (Thornhill 2026b, DOI 10.5281/zenodo.18262424,…
What do market crashes, geomagnetic storms, and the loss of consciousness have in common? They are all moments when a system's organizational identity dissolves. This paper introduces a framework that makes that dissolution measurable, predictable, and universal. The Dynamic Existence Threshold (DET) provides a single…
The Existence Threshold proposes a universal framework for understanding pattern persistence across binary discrete dynamical systems through the corrected formula Φ = R·S + D, representing a fundamental revision where disorder functions as a component of existence rather than its enemy. This version includes…
Information degrades predictably when crossing dimensional boundaries—from DNA’s 1D code building 3D proteins to neural networks transforming data across dimensional spaces—yet this fundamental cost has never been quantified. While the “curse of dimensionality” describes problems qualitatively and dimensionality…
This paper presents the formalization and empirical validation of the Dimensional Loss Theorem, a universal principle governing the degradation of binary discrete patterns when embedded from 2D planes into 3D lattice volumes. Building upon prior empirical observations of an 86% scaling law, component-wise proofs are…
