Manuscript Em03-F@1 · Em03-F-v1.tex · section · 0d4d148b
Scope, dependencies, and the change from Em03-E
Scope, dependencies, and the change from Em03-E · lines 171–255
The construction follows
Em03-E Em03E uses an independently specified information-bearing payload beside occupation registers. Here there is no such payload. Every radiation output used for the information claim is a restriction of the massless scalar field already appearing in Em03-A–D.
The interaction is a deliberately solvable benchmark. Its simple-generated structure and exact qubit–field calculations have established precedents Tjoa; neither that interaction class nor controlled Weyl displacement is claimed as new. The present construction identifies the output with Schwarzschild scattering packets, proves a compact-profile signal, evaluates its witnesses and recovery limitations, and composes it with a quantitative local probe scheme.
{}1.12
| Ingredient | Status |
|---|---|
| Schwarzschild background and normalized time | Specified as in Em03-A. |
| Stationary scalar scattering | Declared external input, with normalizations printed below. |
| Unruh covariance and bulk identification | Inherited prescription; bulk existence and Hadamard property remain external inputs. |
| Finite packet Gaussian restriction | Constructed below from the stated covariance. |
| Compact s-wave estimates | Reproduced in the needed specialization of Em03-D. |
| Source, encoding, and interaction | New effective-model specifications. |
| Source-to-scalar radiation channel | Calculated from the specified evolution. |
| Local sine-effect comparison | Constructed and proved below. |
| Gravitational origin of the source law | Not established. |
Em03-B and Em03-C Em03B,Em03C provide operational context, not a local source or an automatically available coherent scalar receiver. Em03-D Em03D supplies the relevant full-shell local-observable architecture. Its cosine readout is not used as though it distinguished opposite displacements: the imaginary part is treated explicitly here.
boundary. The manuscript supplies analytical arguments. Compilation, formal verification, numerical execution, calibration, and physical implementation are not asserted. “Certified” refers to the printed mathematical estimates under their stated hypotheses.
conventions. For normal states and channels,
The channel metric retains arbitrary external references. An expectation comparison is not silently promoted to a diamond-distance comparison.
Displayed formulas in this passage
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