What Appears Random at Low Resolution Becomes Structured at Higher Constraint Resolution

OSF Preprints (OSF Preprints) 2026 Preprint

Authors: Tracy Sochia Math Research
Cited by: 0

Abstract

This project investigates whether apparent randomness in structured systems is a consequence of incomplete constraint resolution rather than intrinsic stochastic behavior. Using the prime gap sequence as a measurable test system, we examine whether uncertainty collapses predictably as constraint depth increases. The project formalizes entropy operationally as the logarithm of admissible future states under constraint depth Q and tests whether entropy decreases monotonically with increasing structural information.

Fields of Study & Subjects

Complex Systems and Dynamics Analytic Number Theory Research Advanced Mathematical Theories and Applications

Publication details

Journal / source
OSF Preprints (OSF Preprints)
Publication date
14 February 2026
Language
EN
Document type
Preprint