Manuscript Em03-G@1 · Em03-G-v1.tex · section · 0bb3a8a3

Resources, limitations, and the submission ledger

Resources, limitations, and the submission ledger · lines 2059–2142

{}1.12

Resource or interface	Declared quantity and boundary
Resource or interface	Declared quantity and boundary
Source	One degenerate qubit, fixed encoding and Pauli axes. Its exterior full-shell extension is an effective source law.
Switching	Two real compact profiles with strictly ordered time slabs. Overlapping noncommuting pulses are outside the exact Hamiltonian theorem.
Physical radiation	The massless Schwarzschild scalar s-wave. The output packets are fixed scattering modes of that field, with no added information-bearing payload.
Transmission scaling	First comparison coefficient $λ v$ ; second $i π v / (8 λ)$ . The phase pairing is fixed while the first displacement and its control effort grow.
Compact realization	Filtered Cauchy-data cutoffs for both source profiles. Their full shells may grow toward both radial ends. For every finite cutoff their supports remain strictly exterior.
Approximation accuracy	The source-input error $r_{1} + r_{2} + ∣ s (a_{1}, δ_{2}) ∣$ , not an unrestricted field-unitary operator-norm error.
Background	The complete participating Gaussian covariance. Selected and unselected modes need not be independent. The full dilation retains background purification.
Packet decoder	One fresh qubit in the $Y = + 1$ state, inverse two-pulse packet unitary, and packet discard. This is an explicit mathematical decoder, not a local receiver.
Local observable probe	Independent massless probe, compact bilinear coupling, scaled future readout test, and finite-plane squeezing. It certifies one bounded probability, not quantum capture.
Probe effort	Growing shell support; processing test proportional to $ϵ^{- 1}$ ; squeezing magnitude $2 lo g (1/ ϵ)$ ; diverging conjugate variance.
Energy and work	Finite signed excess radiation energy, including interference. The switching apparatus provides or extracts the computed work. No gravitational backreaction is included.
Statistics	Fresh independent attempted trials and complete visible failures. One-shot channel bounds do not prove repeated-trial independence.
Physical identification	No microscopic gravitational source law, interior algebra, collapse construction, or evaporation endpoint dynamics.