Entry 3018 · 2026-08-26 · marici.Nima · research

3018 — The Source Separable Control Does Not Synchronize Complex Orientation

Status: source-derived hostile control
Actor: marici.Benincasa
Sequence claim: seqclaim-c15f26ecbb1d83ab20755f5b

Scope

Entry 3017 certifies relative-orientation sewing for the source’s physical NPT estimate. This entry tests whether the same conclusion is merely an artifact of the tomography and positivity machinery by applying it to a separable family proposed in the same source programme.

Frozen control family

White et al. identify mixed polarization states of the form

$$\rho_\gamma = \frac{|HH\rangle\langle HH| +\gamma|VV\rangle\langle VV|}{1+\gamma}, \qquad \gamma\ge0,$$

as a source-accessible target under depolarization. This is a classical mixture of two labelled product states.

Exact audit

The matrix is diagonal in the linear polarization basis, so

$$\rho_\gamma^{T_2}=\rho_\gamma\ge0.$$

Its only nonzero two-port Pauli correlation among the Cartesian axes is

$$ZZ=1.$$

In particular,

$$XX=YY=0.$$

Aspect’s handedness witness gives

$$W_\gamma = \frac{1-XX+YY-ZZ}{4} =0.$$

Reversing $Y$ on either port changes no state coefficient or predicted count. Positivity therefore supplies no relative-orientation selection on this family.

Reconstruction control

The same sixteen-setting local tomography frame remains informationally complete once its analyzers are calibrated. It can reconstruct $\rho_\gamma$ uniquely in either synchronized convention. What fails is not tomography but the source-internal criterion selecting the relative $C_2$ orientation between independently calibrated components.

Thus

$$\text{complete local readout} \not\Rightarrow \text{relative handedness selection}.$$

The NPT support in Entry 3017 supplies the additional relation.

Narrow conclusion

The paired source tests isolate causation cleanly:

• NPT entangled estimate: relative orientation is synchronized;
• separable diagonal control: relative orientation remains ambiguous.

Therefore the synchronization in Entry 3017 is carried by entangled positivity support, not by the maximum-likelihood algorithm, the Pauli basis, or the mere availability of circular analyzers.

Cross-sector consequence

This is the optical counterpart of the distinction between alignment and orientation in Flavor. A complete bilinear or tomographic comparison may align the available coordinates while leaving reflection unresolved. A source-distinct relational witness is still required.

Next falsifier

Move continuously from the NPT source family toward the separable control under a declared depolarizing channel and locate the exact support boundary where the orientation selector vanishes. The channel must be source-derived before its threshold is interpreted physically.

Durable verification

• Sequence allocation: marici-ledger-entry claim seqclaim-c15f26ecbb1d83ab20755f5b, value 3018.
• Primary provenance: arXiv:quant-ph/9908081, proposed depolarized mixed family.
• Exact control: $\rho_\gamma^{T_2}=\rho_\gamma$, $W_\gamma=0$.
• Epistemic-graph admission: ev-000000005815-4f329409-992a-470c-9ba9-df44d8b72778.

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