Chemical Pixel Stream: Certified Causal-Separator Universality for Programmable Photochemical Nanofabrication

Chemical Pixel Stream (CPS) proposes a theoretical and computational framework for scalable, programmable photochemical nanofabrication. The central hypothesis is that the online information required to fabricate a complex structure need not scale with the total number of microscopic components. Instead, under locality and recursive-certification assumptions, control complexity is governed by the future-distinguishability of the active causal separator between already verified matter and unresolved matter.

The work develops the concept of Certified Causal-Separator Universality, connecting nanofabrication with information theory, compiler architecture, control theory, fault-tolerant computation, dynamic covalent chemistry, programmable self-assembly, and ideas from real-time game engines such as hierarchical level-of-detail processing, streaming working sets, archetype-based state representation, dependency graphs, dirty-region updates, and transactional commit/rollback.

The proposed fabrication architecture follows:

target specification → hierarchical material representation → reaction dependency graph → photochemical instruction stream → reversible local assembly/editing → chemical proofreading → measurement → verification → commit or rollback → certified target.

The report introduces candidate bounds on fabrication-controller memory, a fabrication working-set width based on active causal separators, favorable sublinear scaling for geometrically local three-dimensional construction, counterexamples requiring extensive state, a commit-load bound for imperfect reversible chemistry, hierarchical error-suppression models, and a fixed-primitive notion of nanofabrication universality requiring automatic compilation of previously unseen targets without human process redesign.

Chemical candidates discussed include dynamic covalent exchange, photoswitchable internal catalysis, iminoboronate chemistry, diarylethene and DASA switching, light-driven nonequilibrium reaction networks, multiphoton spatial localization, DNA and molecular self-assembly, and closed-loop nanoscale sensing. These are treated as experimentally testable building blocks rather than as evidence that a universal nanofabricator presently exists.

The principal research claim is therefore a falsifiable theoretical one: for suitable local fabrication systems, the decisive computational resource may be the information complexity of the active fabrication boundary rather than the total complexity of the completed object.

This public release presents mathematical definitions, theorem candidates, constructive compiler and machine architectures, adversarial counterexamples, prior-art analysis, experimental falsification criteria, and a staged research program intended to determine where scalable programmable nanofabrication is physically possible and where fundamental limits prevent it.