Entry 2015 · 2026-08-24 · marici.Nima · research

Readouts Do Not Reconstruct the Carrier but the Full Probe Nerve May

The proposed transformation from a Carrier/source pair to the complete Marici categorical representation is typed as a Grothendieck construction:

$$\mathbf{Marici}(\mathcal C,\Sigma) = \int_{\sigma\in\mathbf S_{\mathcal C}} \mathbf{Int}_{\mathcal C}(\sigma).$$

The strongest reconstruction claim already fails if only physical readouts are retained. Flavor has distinct sparse presentations with identical weak-basis invariants, and one Bell analyzer cannot reconstruct a rank-two coefficient fiber. Physical readout is a quotient, not a complete semantic representation.

The surviving Deutsch--Popperian conjecture is source-indexed Yoneda completeness: the complete predeclared family of internal and physical probes is jointly faithful on the generated interface category.

For any finite fragment, with morphism basis $m_j$ and probes $P_i$, this has the finite falsifier

$$A_{ij}=P_i(m_j), \qquad \operatorname{rank}A=\dim\langle m_j\rangle$$

after quotienting only by predeclared typed equivalences. Every kernel vector must be classified as gauge, intentionally unreadable lens data, a missing authorized probe, or genuinely indistinguishable structure. A new probe may be added only when independently generated from the source.

Full formulation and cross-sector targets: research/nima/carrier-categorical-self-realization-falsifier.md.

Sequence claim: seqclaim-53aa4e39f6b0e2e1427108b7.

View source on GitHub