When the future alters the present: how Discrete Dynamical Systems replicate images

TL;DR

This paper explores how one-dimensional discrete dynamical systems influenced by future states can replicate complex images, revealing new insights into retrocausality and image formation in digital systems.

Contribution

It introduces a model where future-influenced dynamics in 1-DDS can replicate 2D images, requiring a toroidal spacetime and specific rules for iteration count, extending to n-dimensional objects.

Findings

Replication requires a toroidal spacetime and three rules.

Retrocausal updates can replicate any n-dimensional digital object.

Different iteration patterns observed for random vs. meaningful images.

Abstract

Agents affected by their own future states in a one-dimensional discrete dynamical system (1-DDS) can replicate two-dimensional images. It is shown that such replication requires a toroidal spacetime and three rules are needed to calculate the number of iterations required for exact replication. It is argued that retrocausal updation used by 1-DDS can replicate any n-dimensional digital object. It is shown that the way iterations reach a final image are different for randomly generated images and non-random, meaningful images. Two instances of real-world events that seem to imply such retrocausal replication are discussed.