Paper 02 of 5 · Paper 2 of 5 · Geometry Intelligence Foundational Series

Governed Relational Geometry: A Formal Model for Evidence, Context and Valid Transformation

Author

Tim Jacobs · ORCID 0009-0008-7130-1448

Publication date

2026

Version

1

DOI

10.5281/zenodo.21921341

Canonical URL

https://zenodo.org/records/21921341

License

CC BY 4.0

Claim class

C

Abstract

Presents a formal model in which relationships between entities carry evidence, context and constraint. Defines when a transformation of the relational geometry is "valid" — permitted by a stated invariant — and when it must be blocked or revised.

What this establishes

• A formal definition of valid transformation over a relational graph
• The role of evidence as the driver of relational change
• A mechanism for expressing constraints as invariants over subgraphs

What it does not establish

• That the model has been independently verified against real institutional data
• A production-grade implementation of the transformation algebra
• Universality across all forms of reasoning

Related concepts

• valid transformation
• invariant
• provenance continuity
• relational geometry

Demonstrations that exercise this paper

• Chamber scenario scenario-1
• Chamber scenario scenario-2
• Chamber scenario scenario-3

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