The Attentional Blink as a Constrained Generative System: Derivation of a Second-Order Classificatory Pixel
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Description
We derive the classificatory pixel as the ordered pair (e1, e2) of consecutive classificatory acts under the same limit L, within the framework of sub-limit dynamics (SDL/CGS). The attentional blink is the empirical window of a recursive multi-border system in which the saturated classification of e1 temporarily blocks the full classification of e2.
The consumption type is trajectory-consumptive (T3) and the dynamical regime is R2 (branched attractor). The Q-network weighting is G/Q28 primary (compression of classificatory availability), F/Q20 secondary (regime discrimination), E/Q21 tertiary (conservation through variation). Multi-family, as in DNA, music, and evolution.
The domain operates under at least three borders simultaneously: biological (transport, variable), informational (completeness, modifiable), and geometric (Q-network ratios, universal). A fourth border (recursion/Q12) is operationally active. Q12 is accessible but not closable: every recursive stabilisation remains open on Q36 (the unknowable operative). This constraint produces an irreducible residual eta between operative state and readable trace.
Self-reading is defined structurally for the first time: border-defined reading of the difference between operative state and readable trace. Q12 makes this recursion possible; Q36 prevents it from closing on the limit that founds it. Q1 re-emerges as minimal operative distinction because Q36 remains untraversable.
Stress tests against attentional blink data (Raymond et al. 1992, Slagter et al. 2007) confirm the pixel structure and the Q-network weighting. The four structural properties (finite vocabulary, early saturation, interaction bottleneck, efficiency paradox) are verified.
This constitutes the 21st verified domain and the fifth second-order pixel in the SDL programme. Part of the H-series (internal border-reading systems).
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H1_classificatory_pixel_v01.pdf
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