Quantum-Coherent Identity Preservation and Substrate-Invariant Embodiment: A Theoretical Framework for Sustained Pure-State Dynamics in Complex Biological Systems

Living systems exhibit extraordinary resilience, adaptability, and identity preservation despite continuous atomic turnover. Traditional physics explains this persistence through biochemical stability, but a deeper quantum-informational description remains elusive. Here, we introduce a theoretical framework where a sustaining superoperator (S) exactly cancels environmental decoherence (D) within the Lindblad formalism, maintaining quantum coherence indefinitely. The resulting sustained pure-state system exhibits vanishing entropy production, stable informational identity, and finite tunneling amplitude under sublinear effective-mass scaling (Mₑff = m Nᵅ) with (0 < α < 1). Numerical simulations confirm entropy cancellation, identity invariance under substrate replacement, and anomalous tunneling consistent with coherence-preserving collectivity. These findings propose mathematically consistent conditions for substrate-independent identity persistence and coherent embodiment, connecting concepts from quantum biology, information theory, and open-system thermodynamics.