SIP-01: From Selection to Convergence Attractor Dynamics as a Mechanistic Foundation for the Emergence of Classicality

The emergence of classical properties in open quantum systems has been successfully described by the framework of Quantum Darwinism, which invokes Darwinian selection metaphors to explain how certain quantum states acquire objectivity through redundant encoding in environmental degrees of freedom. While acknowledging the substantial empirical and theoretical achievements of this framework over four decades, we propose that the phenomena it captures may be more fundamentally understood through the lens of dynamical attractor structures inherent in open quantum evolution. Specifically, we argue that Lindblad dynamics, under appropriate conditions, can be reformulated as gradient flows on state space, with pointer states emerging as stable fixed points of dissipative evolution rather than as “winners” of an information-theoretic selection process. This reframing suggests that redundant encoding in the environment is a consequence of convergence to dynamical attractors rather than the generative mechanism of classicality. We present this perspective not as a replacement for Quantum Darwinism but as a complementary conceptual clarification that may offer explanatory advantages in certain theoretical and engineering contexts. We explicitly state the falsification conditions and scope limits of this attractor-based framing. This work makes no claims regarding consciousness, biological agency, or “quantum life.” The term homeostasis is employed solely in its dynamical-systems sense, denoting stability under perturbation. Gradient-flow formulations are invoked only under stated conditions (e.g., detailed balance); the broader argument concerns attractor structure in dissipative quantum dynamics.