Geometric Integrity Framework

A scale-based foundation for structural reliability in digital systems

Geometric Integrity is a pre-semantic framework that evaluates whether a measured structure is stable enough across scale to justify interpretation. It does not classify shapes, optimize models, or make performance claims. Instead, it defines the conditions under which a statement about shape can be structurally meaningful.

Why structural validation must come first

Many systems interpret observations as if shape were an absolute property. In practice, shape depends on scale, resolution, sampling, and representation. Without explicit structural validation, interpretation can appear convincing while resting on fragile or scale-specific patterns.

Core axiom

Structural truth exists only if a geometric ratio remains stable over a non-trivial scale band.

This is not an empirical performance claim. It is a structural condition for meaning.

The Geometric Integrity Trilogy

1) The Doctrine of Geometric Integrity (Foundations)

defines terms and scope
formalizes scale-based structural truth
establishes the decision space and fail conditions

2) Whitepaper I: The Geometric Integrity Engine (GIE)

operational decision logic (pre-semantic)
scale behavior, stability, deviation, and fail conditions
no implementation and no parameter claims

3) Whitepaper II: Geometric Integrity in Practice

application positioning without narrowing the foundation
scenarios: imaging, tolerances, AI pre-validation
the observation gradient as a positioning tool

What this framework is

a pre-semantic structural validation layer
a scale-based assessment of ratio behavior
a boundary condition for reliable interpretation

What this framework is not

not a classifier
not an optimization method
not a statistical proof system
not a guarantee of correctness
not a performance claim

Axiomatic status (hard locked)

The trilogy is axiomatic and non-negotiable. Its status is formally fixed by the Hard Lock Statement, which defines immutability and derivation constraints. Subsequent work may apply the framework, but may not redefine it.

Practical use (without implementation claims)

insert GIE as a validation step before interpretation
accept “uncertain” and “no decision” as valid outcomes
treat stability across scale as the gating condition
apply statistics only after structural validation is satisfied

Citation and access

For academic reference, system design integration, or research discussion, please refer to the official GI documents and registration.

Also see: The Official Timestamp en i-depot information

Request access to the GI Trilogy (PDF)