Governed Relational Geometry: A Formal Model for Evidence, Context and Valid Transformation.
Final Manuscript 1.0. Authored by Tim Jacobs and published by KTS Global through Zenodo on 2026-08-13 under DOI 10.5281/ZENODO.21921341. Represented in Wikidata by Q141046808.
Where to read it.
- Zenodo record: https://zenodo.org/records/21921341
- DOI (resolver): https://doi.org/10.5281/zenodo.21921341
- Wikidata: https://www.wikidata.org/wiki/Q141046808
- Author ORCID: https://orcid.org/0009-0008-7130-1448
- License: CC BY 4.0
- Federation evidence record (NODE-1): https://ktsglobal.live/claimreviews/governed-relational-geometry-2026-08/
- Federation evidence mirror (NODE-6): https://kosmos.evidence.ktsglobal.live/claimreviews/governed-relational-geometry-2026-08/
- Companion paper (foundational): https://geometricintelligence.ai/papers/geometry-intelligence-foundations/ (DOI 10.5281/ZENODO.21907367)
Short description.
The paper introduces Governed Relational Geometry as an implementation-neutral formal model for evidence, context and valid transformation. The model defines a governed relational geometry as a policy-indexed structure of positions, relationships, contexts and partial transformations. A governed position records identity conditions, admitted evidence, evaluation context, authority, material constraints, status and provenance lineage. A governed transformation maps input positions to an output while preserving or explicitly accounting for the properties required by policy.
The model separates content equivalence from governed equivalence; distinguishes declared context from evaluation context; separates evidentiary, validation and lifecycle states; and defines authority boundedness, constraint handling, contextual transport, contradiction containment, noninterference under irrelevant change and responsiveness to material change. Under stated compatibility and monotonicity assumptions, valid transformations compose; provenance continuity is proved by induction over finite transformation chains.
The paper is authored by Tim Jacobs and published by KTS Global as a report, in English, under a Creative Commons Attribution 4.0 International licence. It supplies the formal layer between the field definition in the foundational paper and later external conformance profiles. The authoritative source of the paper's content is the Zenodo record linked above; this page is a discovery and citation surface for that record, not a re-hosting of it.
How to cite this paper.
Plain text
Jacobs, T. (2026). Governed Relational Geometry: A Formal Model for Evidence, Context and Valid Transformation. Final Manuscript 1.0. KTS Global. https://doi.org/10.5281/zenodo.21921341
BibTeX
@techreport{jacobs2026governedrelationalgeometry,
author = {Jacobs, Tim},
title = {Governed Relational Geometry: A Formal Model for Evidence, Context and Valid Transformation},
version = {Final Manuscript 1.0},
institution = {KTS Global},
year = {2026},
month = {August},
day = {13},
doi = {10.5281/ZENODO.21921341},
url = {https://zenodo.org/records/21921341},
note = {ORCID: 0009-0008-7130-1448. Wikidata: Q141046808. License: CC BY 4.0. Supplement to 10.5281/ZENODO.21907367.}
}What this record does — and does not — establish.
Framework-paper status. This paper is the Final Manuscript 1.0 of Governed Relational Geometry, published on 2026-08-13. It is a supplement to the foundational paper (DOI 10.5281/ZENODO.21907367, Wikidata Q141020249) within the same publication series. Later revisions, if any, will each carry their own DOI and their own Wikidata publication item.
Anyone can independently retrieve the paper, the DOI registration, the Wikidata publication item and the ORCID public record from those systems directly, and compare against the SHA-256 anchors published on the NODE-1 evidence record and its NODE-6 mirror.