Research atlas
The Geometry Intelligence Foundational Series.
Five canonical papers by Tim Jacobs, published on Zenodo. Each is treated on this site as a discovery surface: an accessible summary, an accurate bibliography, and links to the demonstrations that exercise it. The authoritative text of each paper lives on Zenodo; this site does not reproduce it.
- 01
Geometry Intelligence: Foundations for Machine Entity Comprehension and Sovereign Web4 Systems
Establishes the vocabulary and framework for Geometry Intelligence: the study of how a system may represent, transport and transform meaning across contexts while preserving identity. Foundational reference for the four subsequent papers in the series.
Role on this site: Establish the framework and vocabulary; link to the canonical publication.
- 02
Governed Relational Geometry: A Formal Model for Evidence, Context and Valid Transformation
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.
Role on this site: Powers the Invariant Lens: valid transformations, context, constraint and provenance.
- 03
Machine Entity Comprehension: A Black-Box Conformance Framework for Identity, Context and Change
Defines a black-box conformance framework: tests that establish whether an external system preserves entity identity under context change, without requiring access to internal representations. Aimed at reproducible, externally observable evaluation.
Role on this site: Inspire reproducible, externally observable tests rather than hidden-internals claims.
- 04
Sovereign Web4 Federation: Architecture, Governance and Interoperability for Machine-Comprehending Nodes
Describes a federation architecture in which participating nodes preserve their own identity and authority while interoperating via a shared governance layer. Treats federation as a bounded association, not a merger of authorities.
Role on this site: Explain node identity, relationships and governance without claiming standardisation.
- 05
Evidence-Governed Intelligence: Applying Geometry Intelligence to Institutional AI Assurance
Applies the Geometry Intelligence framework to institutional AI assurance. Distinguishes capability claims (what a system can do) from assurance claims (what evidence supports that capability), and defines the boundary between them.
Role on this site: Connect the demonstrations to reviewer-facing evidence and assurance boundaries.
Concept dictionary
Concepts defined in the series are dictionary entries on this site. Each definition traces to a specific paper section; each carries its own limitations.
Machine Entity
A computational subject whose identity persists across changes of context and evidence.
Contextual Transport
The operation by which a relation is carried from one context to another under a stated rule.
Sovereign Reasoning
Reasoning whose boundary of authority is explicit and inspectable.
Valid Transformation
A change of relational state that is permitted by a stated invariant.
Invariant
A property that is required to hold across a class of permitted transformations.
Provenance Continuity
The requirement that the origin of every admitted claim remains traceable across transformations.
Relational Geometry
The structure formed by entities and the typed, evidence-bearing relations between them.
Identity Preservation
The property that an entity remains the same entity across a change of context or evidence.
Conformance Test
An externally observable test that establishes whether a system satisfies a stated property.
Black-Box Observation
A methodology in which conclusions are drawn only from a system's external behaviour.
Federation
A bounded association of nodes that preserves each node's identity and authority.
Node Identity
A federation participant's stable identity, distinct from federation membership.
Shared Facts
Claims admitted by more than one federation node under stated conditions.
Authority Boundary
The declared limit of what an entity is entitled to conclude.
Assurance Boundary
The line separating what evidence supports from what remains a capability claim.
Capability Claim
A statement that a system can perform some function, distinct from evidence that it did.
Evidence Structure
The typed record of what admits a claim, addressable across transformations.
Reviewer View
The projection of a system that shows only what an external reviewer can verify.