Collapse Through Interaction
Abstract
Coupled systems do not fail independently. Under certain conditions, interaction itself becomes the mechanism of failure. This monograph defines Collapse Through Interaction (CTI) as the process by which systems, through feedback, interference, and amplification, drive each other into structural breakdown.
We establish that collapse can emerge not from internal weakness, but from mutual destabilization, where interaction intensifies instability beyond recoverable limits.
1. From Instability to Collapse
Instability:
- produces variability
Collapse occurs when:
Instability exceeds the system’s capacity to regulate.
2. Defining Collapse Through Interaction
Collapse Through Interaction (CTI) is defined as:
The transition of one or more coupled systems into failure states due to reinforcing instability, feedback conflict, and signal amplification across system boundaries.
Collapse is:
- interaction-driven
- not isolated
3. Conditions for Interaction-Driven Collapse
Collapse emerges when:
- instability is sustained
- feedback conflict escalates
- amplification increases signal intensity
- recovery pathways are unavailable
These conditions:
- overwhelm control mechanisms
4. Mechanisms of Collapse
4.1 Feedback Escalation
Conflicting loops:
- amplify instability
- prevent correction
4.2 Amplified Distortion
Signals:
- become increasingly distorted
- lose interpretability
4.3 Threshold Overload
Control thresholds:
- are exceeded
- fail to regulate
4.4 Loss of Stabilizing Feedback
Balancing loops:
- weaken or disappear
Result:
- unregulated dynamics
5. Collapse Propagation
Collapse may:
- begin in one system
- propagate to others
Through coupling:
- failure spreads
6. Types of Collapse
6.1 Local Collapse
One system:
- fails
- others remain functional
6.2 Cascading Collapse
Failure:
- spreads sequentially
- affects multiple systems
6.3 Systemic Collapse
Entire network:
- fails collectively
7. Collapse Without External Trigger
Collapse can occur:
- without external cause
Driven by:
- internal interaction dynamics
8. Collapse and Irreversibility
Once collapse occurs:
- recovery may be limited
- control structures degrade
In some cases:
- irreversibility is reached
9. Collapse Without Awareness
Systems:
- do not detect approaching collapse
- interpret instability as variation
Collapse appears:
- sudden
10. Interaction With Oscillation
Oscillation may:
- precede collapse
- intensify instability
At a threshold:
- oscillation transitions to collapse
11. Substrate Independence
Collapse through interaction appears in:
- human cognition
- machine learning systems
- distributed networks
- organizational systems
The invariant lies in:
- interaction-driven instability
12. Modeling Implications
Models must include:
- cascading effects
- feedback escalation
- threshold limits
Ignoring CTI leads to:
- failure to predict collapse
13. Structural Consequence
Collapse transforms:
- coupled systems → failed systems
Interaction becomes:
- destructive
14. Closing Statement
Systems do not always fail alone.
When interaction amplifies instability, suppresses correction, and overloads control, systems can drive each other into collapse.
Failure, in such cases, is not internal. It is shared.