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Stratified Relational Workspace Theory

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Stratified Relational Workspace Theory

A Core-Transfer Framework for Distributed Cognition, Collaboration, and Epistemic Systems

Read the 209-page monograph

Overview

Stratified Relational Workspace Theory studies when a collection of people, models, artifacts, instruments, and computational processes supports a genuine shared workspace rather than replicated storage, centralized control, or merely correlated activity.

A stratified relational workspace is defined as a temporally persistent, causally efficacious, jointly reconstructible structure represented only partially in several heterogeneous components. Its identity is determined by invariants preserved under admissible transfer, and its operative capacity is relational only when no individual component or matched local-storage null reproduces the relevant function.

The central identity principle is

\[ \boxed{\text{workspace identity}=\text{persistent invariant causal organization under admissible transport}.} \]

The framework does not infer consciousness, personhood, moral status, or unrestricted autonomy from structural coherence, agency, or self-maintenance.

Scope of the monograph

The theory develops five connected layers:

  1. Structural geometry. Heterogeneous local state spaces, core-residual decompositions, compatible global sections, holonomy-fixed cores, transfer Laplacians, spectral stability, gauge covariance, and pathwise leakage.
  2. Operational relationality. Canonical predictive states, feasible interventions, coalition risk, matched relational nulls, causal specificity, and reentry.
  3. Persistence and identity. Moving workspace subspaces, reconstruction frames, erasure resilience, handoff, replacement invariance, gluing, and hierarchical composition.
  4. Formation and agency. Learned transfers, boundary recovery, provenance, goal retention, counterfactual policy evaluation, damage detection, repair, and self-maintenance.
  5. Epistemic robustness. Faithful coarse-graining, decomposition robustness, specification robustness, experimental identifiability, partial identification, and uniform finite-sample certification.

The individual mathematical ingredients are largely established. The candidate contribution is their noncompensatory integration into one falsifiable certification architecture, together with matched near-miss systems that the certificate is designed to reject.

Repository structure

Path Purpose
monograph/ Canonical modular LaTeX source and compiled PDF
archive/v1.0.0/ Frozen single-file source snapshot from which the modular source is generated
verification/ Deterministic mathematical regression checks and reference outputs
audits/ Priority register, theorem-like statement index, and verification records
docs/ Build, review, reproducibility, licensing, release, and publication guidance
scripts/ Cross-platform build, verification, packaging, and source-splitting utilities
.github/ Continuous integration, tagged-release automation, issue forms, and pull-request templates

Build

A recent TeX Live installation with latexmk is required. From the repository root:

python scripts/repo.py build

Equivalent Make target:

make build

Windows PowerShell:

python .\scripts\repo.py build

The generated PDF is written to build/Stratified_Relational_Workspace_Theory.pdf.

Detailed platform notes are in docs/BUILDING.md.

Verify

Install the Python verification dependencies:

python -m pip install --requirement requirements.txt

Run the complete repository audit:

python scripts/repo.py verify --strict

Strict verification checks:

See docs/REPRODUCIBILITY.md for the verification model and its limits.

Package a release

python scripts/repo.py package --strict

This produces a versioned PDF, source ZIP, source tarball, and SHA256SUMS.txt under dist/. Pushing a tag such as v1.0.0 activates the included release workflow.

Review and contribution

The preferred review path is issue-first. Mathematical reports should identify the statement label, assumptions, precise concern, and either a counterexample, proof gap, or proposed correction. See CONTRIBUTING.md and the review guide.

The statement index lists every theorem, proposition, lemma, corollary, definition, example, and remark. The priority register distinguishes standard machinery, adaptations, synthesis claims, and unresolved empirical claims. The GitHub readiness report records the clean-checkout, packaging, Git, and PDF-regression audit.

Citation

Citation metadata is available in CITATION.cff and CITATION.bib.

License status

This release is publicly readable but is currently not distributed under an open reuse license. All rights are reserved unless applicable law or separate permission allows reuse. The rationale and possible future licensing options are documented in docs/LICENSING.md.

Other PDFs for this work

Original file and source record

This copy matches the recorded source file. Its publication here does not change the work’s review status.

SHA-256: c6a57f08280d587159b457f00d44851e0322cecbefcf773891112c261b465050

Original source on GitHub

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