Declarations and provenance

and provenance

of the work. This is a theoretical local adaptation. Its classical assertions concern the stated smooth supported equation spaces. Its operational assertions concern a finite matrix model with admitted gates and prescribed causal endpoints.

to Manuscript III. The classical mechanisms originate in the versioned III source. They are reproved here with a fixed-support laboratory domain, explicitly avoiding an unjustified global transfer to the punctured cone. The finite evaluation encoding is an additional comparison interface, not a claimed quantization of III.

. This source is formatted as an anonymous submission manuscript. Signed author and affiliation metadata should be supplied by the authorized submitting author. Citation of N. Cheung does not by itself assign authorship of this adaptation.

status. The linked III and philosophy records and the publisher's Enter article metadata were consulted directly. Other companion references are identified by supplied filenames, versions, and locators. Documentary comparisons are not an independent audit of those manuscripts.

status. No successful pdflatex build, proof-assistant check, independent symbolic execution, laboratory implementation, physical programme compilation, referee certification, or journal acceptance is asserted. The mathematical claims are the explicit proofs in this source.