Title: Algorithmic Topology of Information Spaces via Wave Function Collapse

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

This paper investigates the algorithmic topology of information spaces through the simulation of wave function collapse. We propose a novel algorithm that dynamically models collapse as a probabilistic event, correlating collapse rates with structural stability and information density. The core mechanism involves representing information spaces as probability distributions, where collapse represents a shift in the probability of different states. We aim to develop a method for automatically identifying and classifying topological features within complex information spaces, leveraging the probabilistic nature of collapse to achieve this. The study will demonstrate the effectiveness of this approach in identifying key structural patterns and quantifying information density.

DOI: 10.5281/zenodo.22280349

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