Papers 1–7 · read in order · Papers 1–6 build the source–readout mathematics; Paper 7 is the physical witness in Randall–Sundrum gravity.
01Canonical
Establishes the foundational distinction: after declared redundancy is quotiented out, the readout presents the source exactly as a quotient while physically invariant relations can fail to descend and equivariant reconstruction can be obstructed.
DOI: 10.5281/zenodo.21369967
Read result →02Canonical
Makes obstruction target-relative: a question is answerable from the readout exactly when its correct answer never varies within a readout fiber, and every sufficient extension must separate states with different correct answers, with the joint target image as the coarsest such extension.
DOI: 10.5281/zenodo.21370501
Read result →03Canonical
Constructs the canonical minimal completion: for any nominated family of invariant source relations, the joint image of readout and relations is terminal among all relation-sufficient extensions, making it the coarsest enrichment on which every nominated relation becomes well defined.
DOI: 10.5281/zenodo.21370763
Read result →04Canonical
Realizes the completion geometrically: compatible local data glue to global fields unique up to bundle isomorphism, invariant relations descend to the orbit space of physical configurations, and relation-dependent actions derive covariant responses in the Einstein, Yang–Mills, and matter equations.
DOI: 10.5281/zenodo.21370985
Read result →05Canonical
Develops the observable and dynamical layer: an induced observable evolution exists exactly when the dynamics preserve the readout kernel; otherwise the exact projected law carries an unresolved-initial-state term and a memory kernel, with a minimal dynamical completion measuring exactly what must be restored.
DOI: 10.5281/zenodo.21371251
Read result →06Canonical
Integrates the sequence into the non-source projection theorem: an essential non-gauge distinction inside a readout fiber proves non-source projection for the stated model and target, with exact deterministic and statistical identifiability results.
DOI: 10.5281/zenodo.21371451
Read result →07Canonical
Within RS2 gravity, Paper 7 proves that identical instantaneous brane readouts can evolve into different futures, derives the exact projected Einstein equation, and links cosmological and weak-field residues through a parameter-free relation.
DOI: 10.5281/zenodo.21371861
Read result →