Fractal Entanglement Between Observer and Observed

Abstract

This article explores paradoxical dynamics embedded in the fabric of existence. The logic of Spencer-Brown, as extended by Francisco Varela, is placed within the historical context of cybernetics. Varela's concept of reentry provides a bridge to fractal geometry through recursive iteration on the complex number plane. Fractals are dynamic process-structures that negotiate spatial and temporal interfaces between various forces and dimensions of existence. This article argues that fractal reentry dynamics provide contradictory foundations by which different levels of nature, including mind and matter, both separate and connect. Finally, natural fractals reveal a new level of reflexivity in science, by which the observer is paradoxically embodied within the observed.