The Measurement Object Does Not Exist

Standard macroeconomic theory measures capital investment productivity as a residual. This paper argues the measurement object does not exist in a large and growing class of investment contexts — not because data is poor but because five necessary conditions for its existence fail simultaneously. The conditions are derived, named, and stress-tested against two cases: US commercial aviation, where all five hold and productivity is directly computable from DOT Form 41 data; and Chinese semiconductor fabrication, where all five fail and no recovery of true productivity from any observed quantity is possible with any existing tool. A toy model shows exactly what the standard TFP residual measures when the conditions fail — a product of five unobservable distortion parameters with no identifying restriction separating them. The gap between the two cases is not a measurement challenge. It is a domain boundary the profession has never stated.