What is inherited

The selected system state is the massless scalar Unruh prescription of Em03-A Em03A. Its horizon input is thermal in normalized Killing frequency, its infinity input is vacuum, and the two inputs are independent and centered quasifree. The outgoing packet mean is

The subscript $0$ denotes the s-wave greybody probability.

The one-mode Gaussian characteristic function used here follows from this prescription and the finite-mode construction in Em03-C. It does not require a density operator for the entire stationary continuum.

The effective Markov port, capture controls, and finite registers of Em03-B and Em03-C are not premises of the local construction.