Manuscript Em03-F@1 · Em03-F-v1.tex · section · 0d4d148b

Resources, physical interpretation, and successors

Resources, physical interpretation, and successors · lines 2300–2374

{}1.12

Resource	Specification and boundary
Resource	Specification and boundary
Source	One degenerate qubit with a fixed source basis and independent initial field. Its full-shell extension is an effective model.
Source support	One fixed compact exterior shell suffices for the constructed nonzero signal. The profile and its time slicing are declared.
Field	The actual massless scalar of the Schwarzschild scattering model. No separate logical radiation payload is appended.
Signal calculation	Compact-profile coefficient $k_{F}$ , full complex scattering amplitudes, $d_{\infty}, d_{hor}$ , and packet overlaps $c_{h}$ . Transmission probabilities alone are insufficient.
Witness	A bounded sine-Weyl effect with a specified phase reference. Its Gaussian noise factor and source-dependent phase are exact.
Local approximation	Compact Cauchy-data cutoffs and derivative filtering. Full angular-shell access; growing radial support at increasing packet accuracy.
Probe	One independent massless scalar, compact bilinear coupling, future processing test, and a specified quasifree preparation.
Probe effort	Processing test $z / ϵ$ , squeeze magnitude $2 lo g (1/ ϵ)$ , and conjugate variance at least $1/ (4 N_{L} ϵ^{2})$ .
Final readout	The two effects $O_{s i n, ϵ}, I - O_{s i n, ϵ}$ . Laboratory preparation and final readout require their own calibration and visible failure accounting.
Quantum recovery	The radiation channel is entanglement breaking. The exact packet recovery optimum uses an abstract Helstrom decoder; no local execution or coherent field capture is claimed.
Energy	Finite excess energy in both radiation ends, supplied by the prescribed switching apparatus. The degenerate source does not provide internal-energy fuel.
Repeated trials	Fresh independent preparations and no parameter drift are additional statistical hypotheses.