Numerical observables are not automatically stress-energy

The proposition is an underdetermination result over energy-labelled completions. It does not exclude an energy observable identified after additional operational response data or microscopic dynamics are supplied.

Similarly, channel equality by itself specifies no thermal reservoir, Hamiltonian, temperature, or heat ledger. Landauer-type statements require a thermodynamic realization with such additional assumptions ReebWolf. The supplied channel-versus-cost scope is recorded in En07-A; En07-B has a separate endpoint-recovery role CheungEn07A,CheungEn07B.