Manuscript En09-A@1 · En09-A.tex · section · eafec9de

The grounded comparison

Quantum-computing analogs and selective extensions › The grounded comparison · lines 869–925

En09-A@1#tab:analogs

Aspect	Relational quantum description	Enter realization
Time label	A calibrated clock outcome $t_{k}$ indexing a conditional state.	A finite classical code $k$ , interpreted by the declared map $c (k) = t_{k}$ .
Extraction	Conditioning on the clock projector $P_{k}$ .	A calibrated basis change followed by destructive Enter; every measured clock name is consumed.
Joint description	A clock–system history state; an additive stationary constraint when its compatibility hypotheses hold.	A declared history-state preparation and a finite recorded readout channel.
System evolution	The family $ρ_{S} (t_{k})$ ; unitary evolution under sampled covariance and stationarity.	The surviving system block conditioned on the classical record.
Measurement	A specified instrument or represented POVM.	Enter, together with declared coherent preprocessing and complete classical coarse-graining.
Resource	The clock's quantum degrees of freedom.	Linear quantum access names, with explicit consumption and residual ownership.
Born rule	Probabilities associated with the clock effects.	The same probabilities; their derived status requires the full Enter characterization hypotheses.
Non-claims	Clock conditioning is not itself a derivation of spacetime geometry.	The record is not a clock-return decoder, and the finite channel does not construct spacetime emergence.

{Analogs grounded in Theorem thm:main and Corollary cor:circuit-history. A correspondence between interfaces is not an identity between physical theories.}