Physical scope and relation to companion work

B Physical scope and relation to companion work

The central results refer to one exact controlled harmonic parent, one full original conditional law and one finite internal-reference instrument. The companion manuscript on repeated position records [15] uses a separate effective scalar-current construction with retained entropy and calibrated reset. Its repeated-record conclusion does not follow merely by reusing the writer prepared here. The singular-flow analysis [16] and coherent-source current estimates [17] address possible interfaces for more general physical models; their hypotheses are not needed for the explicit positive Gaussian flows of this paper. Applying them to a material implementation would require a compatibility proof for the complete Hamiltonian, current, original law and decoder. These new companion manuscripts are separate from the current website research editions, and no completed integration with that programme is asserted. In particular, assumptions from its pilot-medium and massive-configuration constitutions are not transferred between them here.

An arbitrary positional reference is especially different from the finite internal reference used above. If an untouched positional spectator has actual law $\eta$ and quantum reference $\eta_0$, the joint output discrepancy is at least $\TV(\eta,\eta_0)$ by marginalization. Preparing only the apparatus cannot reduce this lower bound. Likewise, an exact initial archive coordinate copied into $X$ must remain in the conditioning; it may make the full conditional law singular. The purpose of these examples is to specify what the theorem actually prepares, rather than to deny the mathematical value of conditional preparation.