X != Phi(X | C_t) — Why Reality Cannot Be Closed Even by Xenoscience. Operational dimensions, generative and chaotic intervals, operational modality, proof, speed, responsibility points, human-independent science, and non-closure

This paper argues that no scientific framework can be identified with reality as a whole, even when that framework is capable of revising its own variables, boundaries, observational devices, inferential structures, and operational dimensions. The expression X \neq \Phi(X \mid C_t) formalizes this claim: reality X cannot be exhausted by any configuration-conditioned transformation \Phi operating under a finite set of conditions C_t. The paper develops this non-closure thesis through several interconnected arguments. First, operational dimensions are generated and lost as scientific configurations change, so the dimensional structure available to inquiry cannot be assumed to be final. Second, generative and chaotic intervals can produce differences whose later relevance is not recoverable from earlier descriptive closure. Third, operational modality distinguishes possibilities and necessities that become effective only within specific configurations from claims about reality as a whole. Fourth, formal proof establishes consequences within specified systems but cannot by itself demonstrate the completeness of the conditions through which reality becomes scientifically accessible. The paper further argues that speed matters epistemically: a scientific system whose self-correction is slower than the reconfiguration of its object domain can remain formally coherent while becoming operationally obsolete. Responsibility points are introduced to mark locations where prior changes become coupled to downstream effects and alter subsequent possibilities. Xenoscience therefore culminates not in epistemic closure but in a principle of reflexive non-closure: even human-independent, recursively self-modifying science must treat its own observational and inferential conditions as revisable rather than equating them with reality as a whole.