Anticipatory Classification as a Constrained Generative System: Derivation of a Second-Order Prospective Pixel
Abstract
We derive the prospective classificatory pixel as the ordered pair (p, v) of an anticipated classification and a verificatory classification under the same limit L, within the framework of sub-limit dynamics (SDL/CGS). The consumption type is trajectory-consumptive (T3) and the dynamical regime is R2 (branched attractor). The Q-network weighting is F/Q20 primary (regime discrimination between anticipated and verificatory classification), G/Q28 secondary (compression as precondition for projection), E/Q21 tertiary (conservation of the prospective function through error and recalibration). This is specular to the retrospective classificatory pixel H1, which has weighting G > F > E. The observable eta_p measures the border discrepancy between projected regime and verified regime. It is structurally non-null but locally compressible by domain-specific training. The ratio lambda between the projective spiral and the verificatory spiral is hypothesised isomorphic to sigma/omega = 3 from the Q-network geometry. Novelty (Q10) is structurally derived as the system's response when the border residual exceeds the capacity of the current configuration, activating the G-chain Q28 to Q29 to Q30. Stress tests on three domains (motor anticipation in sport, analytical drift in AI agents, jazz improvisation) confirm the pixel structure, the Q-network weighting, and the measurability of eta_p. This constitutes the 22nd verified domain and the sixth second-order pixel in the SDL programme. Part of the H-series (internal border-reading systems).
Fields of Study & Subjects
Complex Systems and Time Series Analysis
Cognitive Science and Education Research
Complex Systems and Dynamics
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 14 April 2026
- Language
- EN
- Document type
- Preprint