Spatial Patterning and Selection: How the Environment Shapes Molecular Complexity (2509.04547v1)

Abstract: Assembly theory predicts that a distinguishing signature of life is its ability to produce complex molecules in abundance, opening new possibilities for life detection. Experimental validation of this approach has so far relied on abiotic controls like meteoritic material, or simple, well-mixed chemical systems. However, decades of research in self-organization have shown that spatial patterning can foster dynamical self-organization. This raises the possibility that systems with nontrivial spatial patterns might promote abiotic formation of molecules with higher than expected assembly indices, potentially leading to false positives in life detection approaches based on assembly theory. To explore this, we used a model of artificial chemistry to investigate how spatial organization can influence the development of molecular assembly indices. Our findings reveal that transport factors, such as diffusion, significantly affect the distribution of chemical species within a system. Additionally, system topology critically impacts the distribution of assembly indices: while it does not enable arbitrary complexity, ordered lattices can shift the threshold for abiotic chemistry upward. Moreover, we demonstrate that diffusion can impede the formation and detection of these high assembly index molecules, bearing important implications for life detection experiments and astrobiological missions.