The Universal Law of Life Systems: Entropy Resistance and the Nature of Living Systems

The lack of a universal, physically grounded definition of life remains a criticalgap across biology, astrobiology, and artificial intelligence. Traditional definitionsoften rely on biochemical functions or evolutionary heuristics, offering limitedapplicability across substrates, scales, and domains.This paper introduces a general law: a system is alive if and only if it sustainsa positive rate of entropy resistance. In the quantum regime, this is formalized asRq (t) =−d/dt Tr[ρ(t) ln ρ(t)] >0,where ρ(t) is the system’s density matrix and the trace yields the von Neu-mann entropy. The proposed condition is substrate-independent, operationallymeasurable, and falsifiable.This formulation provides a unifying thermodynamic criterion for terrestrialbiology, synthetic organisms, coherent quantum states, and potential extraterres-trial systems—without invoking replication, metabolism, or evolution. It reframeslife not as a biological artifact, but as a distinct physical regime that persistentlyresists informational and entropic collapse.Life, under this framework, is not explained by physics. It is a phase of physics,defined by its sustained resistance to the default trajectory of the universe.