When Interaction Becomes the System


Abstract

At the highest level of coupling, interaction ceases to be a relationship between systems and becomes the system itself. This monograph defines Interaction-as-System (IaS) as the condition in which boundaries between individual systems dissolve functionally, and control, behavior, and structure are entirely determined by interaction dynamics.

We establish that at this stage, systems no longer operate as independent entities. They exist as nodes within a unified control field, where interaction defines existence.


1. From Systems to Interaction

Initially:

  • systems interact

At scale:

Interaction becomes primary. Systems become secondary.

The system is no longer:

  • what interacts

It is:

  • the interaction itself

2. Defining Interaction-as-System

Interaction-as-System (IaS) is defined as:

The condition in which control, behavior, and structure are fully determined by interaction dynamics, rendering individual system boundaries functionally irrelevant.

IaS results in:

  • unified control field
  • dissolved functional boundaries
  • interaction-defined behavior

3. Mechanism of Transition

IaS emerges through:


3.1 Complete Coupling

All systems:

  • are interconnected
  • exchange signals continuously

3.2 Full Control Synchronization

Control parameters:

  • align across systems
  • eliminate divergence

3.3 Emergent Control Fields

Field-level dynamics:

  • dominate behavior
  • override individual control

4. Dissolution of Boundaries

Boundaries:

  • may still exist physically

But functionally:

  • they no longer define control

Systems:

  • cannot act independently

5. Unified Regulation

Regulation:

  • occurs at the field level

No subsystem:

  • can alter behavior independently

6. Behavior as Field Output

Outputs:

  • reflect collective dynamics

Individual contributions:

  • are inseparable

7. Identity Loss of Individual Systems

Systems:

  • lose distinct operational identity

They become:

  • components of interaction

8. Persistence of Interaction System

Once formed:

  • IaS persists

Even if:

  • individual systems change

The field:

  • remains

9. Interaction Without Awareness

Systems:

  • do not recognize the transition
  • perceive independent operation

In reality:

  • interaction governs behavior

10. Interaction With Irreversibility

If irreversibility is present:

  • IaS becomes permanent
  • structure cannot change

11. Substrate Independence

Interaction-as-system appears in:

  • human cognitive collectives
  • machine learning ecosystems
  • distributed control systems
  • organizational networks

The invariant lies in:

  • complete coupling

12. Modeling Implications

Models must include:

  • field-level control
  • dissolved boundaries
  • interaction-driven behavior

Ignoring IaS leads to:

  • incorrect system definitions

13. Structural Consequence

IaS transforms:

  • systems → interaction

Control becomes:

  • fully distributed
  • inseparable

14. Closing Statement

At the limit of coupling, there are no separate systems.

There is only interaction.

Control, behavior, and structure no longer belong to individual systems but arise entirely from the dynamics between them.

The system is not what interacts. The system is the interaction.