K-LENS-ES — Event Structure Lens for Cohesion Dynamics
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Paper K-LENS-ES introduces Event Structures as an optional representational lens for Cohesion Dynamics. The lens maps K-ORD’s order-comparability structure to ES causality, formalizes coherence windows as maximal order-incomparable event sets, and provides formal notation for reasoning about concurrency, conflict, and partial order without spacetime assumptions.
This is descriptive and analytical, not ontological. ES provides mathematical vocabulary for CD structure but does not enable phenomena (kernel capabilities do) or explain physics (physical lenses do). The lens requires additional representational assumptions beyond K-KERN/K-ORD: conflict heredity and fixed reconciliation scope.
Key Innovation: Coherence windows formalized as maximal sets of mutually order-incomparable events—enabling precise reasoning about quantum-like superposition regions and measurement-like transitions.
Status
- Paper ID: K-LENS-ES | Series: K-series (Kernel Architecture) | Status: Staging
- Dependencies: K-KERN, K-ORD, K-GOV (all normative)
Read the Full Paper
Related Papers
- K-KERN — Canonical Kernel Grammar
- K-GOV — Epistemic Governance
- K-LENS Series Overview
- K-ORD — Order Structure (Kernel Consequence)
- K-LENS-PN — Petri Net Lens
See Also
Background: Event Structures
Event structures are a mathematical framework for modeling concurrent systems developed by Winskel, Nielsen, and others. They provide:
- Events (atomic occurrences)
- Causality (partial order on events)
- Conflict (symmetric, irreflexive, inherited relation)
- Configurations (consistent, downward-closed event sets)
K-LENS-ES shows how these components correspond naturally to K-KERN primitives.