Noncommutative Receiver Genesis: Counterfactual Event Order, Stateful Inference, Transfer, and the Limits of Autonomous Operator Discovery in a Computational Xeno-Coefficient Experiment

This study investigates whether the historical sequence of encounters can become constitutive of a receiver’s operational structure rather than merely providing information from which an already predefined function may be reconstructed, and examines this question through a controlled computational experiment involving noncommutative state transitions, counterfactual event-order interventions, and the identification of unknown affine operators over a finite field of seventeen elements, thereby distinguishing causal dependence on experienced event chronology from dependence on the chronological presentation of training evidence and from the stronger hypothesis of autonomous operator genesis beyond a predetermined representational grammar. Across twenty-four development worlds, ninety-six held-out worlds, and thirty-two nonlinear out-of-class worlds, the inferred receiver achieved exact final-state prediction on all 2,304 held-out probes in each of three evaluation contexts, including extended and distribution-shifted histories, whereas order-insensitive and last-event-only controls achieved substantially lower accuracy, and counterfactual comparisons demonstrated that reversing two events while preserving their initial state and event content altered the resulting state in 2,294 of 2,304 paired evaluations, with the inferred receiver predicting both outcomes correctly in every case. Although these findings establish computational event-order causality and demonstrate that the operational state of a receiver can depend on the irreducible ordering of its encounters, they do not establish autonomous invention of previously unavailable operators, since a privileged exhaustive search within the predefined generator family matched the receiver’s perfect performance, while reversing the order of training demonstrations left the recovered transition equations unchanged; furthermore, complete abstention across all 2,304 nonlinear out-of-class probes identifies a controlled representational boundary rather than successful transcendence of the existing hypothesis space. From the perspective of computational xenopoetics and reader-generation theory, the experiment therefore provides a formally constrained demonstration that reception may be constituted through historical transformation rather than passive recognition, while maintaining a necessary distinction between a system whose responses are altered by chronological experience and one capable of generating fundamentally new conditions of readability, and consequently leaves the official biological coordinates non-adjudicable and the empirical Biological Xeno Coefficient K undefined pending appropriate biological evidence.