The Darwin Limit: Mathematical Constraints on the Speed of Biological Evolution

This research article introduces the concept of the Darwin Limit, a theoretical upper bound on the speed of biological evolution. Drawing an analogy with Planck Time in physics, the Darwin Limit defines the minimal time required for a biological system to achieve stable adaptive mutations under constraints of information flow, entropy, and evolutionary time. The study provides a mathematical framework linking informational potential, genetic entropy, and temporal dynamics, offering a quantitative ceiling on adaptive velocity.

The article explores implications for natural evolution, molecular error thresholds, synthetic biology, and artificial evolutionary systems, establishing a foundation for a new field termed evolutionary metadynamics. This work is intended to provide a predictive theoretical lens for both natural and engineered adaptive systems, bridging evolutionary biology, information theory, and thermodynamics.