Global Coherence & Structural Impossibility Audit

For boards, directors, and deans who suspect their operating model is self-contradictory but cannot prove where or how.

Over 8–12 weeks, we:

Map your structure
- Identify key units, mandates, KPIs, and shared constraints.
- Represent them as a graph of units and interfaces.
- Encode responsibilities, targets, and rules at each point in that graph.
Build a formal coherence model
- Attach structured state spaces to each unit (local objectives, commitments, capacities).
- Attach boundary state spaces to each interface (what connected units must agree on).
- Define precise “restriction maps” that express how local states appear at shared interfaces.
Analyse global coherence
- Determine where local rules and KPIs can be satisfied globally.
- Detect loops of rules and objectives that cannot be satisfied together under current definitions.
- Distinguish between conflicts that can be resolved by better execution and those that are mathematically impossible.
Design minimal structural interventions
- Identify the smallest set of changes to KPIs, mandates, ownership, or decision rights that remove the contradictions.
- Quantify impact and trade-offs using your OR and graph models.
- Prepare a board-ready change set with clear rationale and implementation guidance.

A Global Coherence Map: a visual and analytic representation of how your objectives, units, and constraints fit together.
An Impossibility Report: specific places where your current model demands incompatible outcomes.
A Minimal Change Set: the smallest set of structural changes that restore coherence.
A Board / EXCO briefing: a concise narrative and trade-off analysis for decision-makers.

If you give different units KPIs and rules that collide under shared constraints, someone will “fail” every quarter no matter how competent they are.

The Global Coherence & Structural Impossibility Audit:

Proves where you are asking your organisation to do the impossible.
Shows you what to change so that coherent execution becomes possible again.
Aligns structures so that portfolio optimisation and graph intelligence actually have a consistent model to operate on.