The Configuration Chain Framework for Stability, Identity and Meaning
How systems persist through structured transformation
Simplified overview of the research
This page provides a simplified and accessible overview of the full research paper.
The complete formal version is available via DOI:
This paper introduces the core formal structure of the framework.
Where previous papers establish the conditions for change and stability, this work defines how systems can actually persist under those conditions.
It provides the structural model that connects:
- stability
- identity
- life
- meaning
into a single configuration-based framework.
Where this fits in Bellori Framework
Change → Selection → Stability → Persistent Configurations → Identity → Life → Meaning
Configuration chains describe how structures persist across transformations within the structural sequence of the Bellori Framework.
The previous papers establish:
- change as the underlying mechanism
- stability as the condition for persistence
This paper answers the next question:
What structure allows something to persist as the same system while it changes?
The problem
Across scientific domains, persistence is described in different ways:
- Physics → stable states
- Biology → homeostasis
- Psychology → identity
- Systems theory → resilience
These descriptions all refer to continuity under change, but they lack a shared structure.
This raises a deeper question:
What must be preserved for something to remain the same system?
The idea
A system does not persist because its components remain the same. It persists because relations between components remain sufficiently coherent across change.
This leads to a structural shift:
- not components, but relations define the system
- not states, but sequences define identity
From this perspective:
persistence = preserved relational coherence across successive configurations
The Bellori Framework
The core proposal is that systems can be described as:
configuration chains
A configuration consists of:
- elements
- relations between those elements
A system evolves as a sequence:
C₀ → C₁ → C₂ → …
Persistence exists when successive configurations retain enough structural overlap to remain identifiable as the same system.
The principle
The central claim of this paper is:
A system persists when successive configurations preserve sufficient relational coherence within a bounded tolerance.
This introduces three key structural components:
- Configurations → structured states of a system
- Coherence → preservation of relations between configurations
- Tolerance → the allowed range of variation
Without coherence → no continuity
Without tolerance → no change possible
What this means
This framework turns persistence into something structural and analysable, instead of assumed.
It implies:
- systems can change continuously without losing identity
- identity is not tied to material components
- stability and identity are structurally linked
Across domains:
- physics → persistent structures
- biology → viable organisms
- cognition → personal identity
- organisations → continuity under change
All follow the same condition:
coherence must be preserved within limits
Connection to Bellori Framework
This paper forms the core layer of the entire model.
It connects:
- stability (why systems persist)
→ to - identity (how persistence becomes observable)
It also enables the next steps:
- identity as sequences
- life as self-regulating identity
- meaning as coherence expansion
Why this paper is different
This is not a domain-specific theory.
It introduces a domain-independent structural model that:
- does not depend on material composition
- does not depend on time as a causal variable
- does not depend on observer interpretation
Instead, it defines persistence as a necessary structural condition.
Without preserved coherence:
→ no continuity
→ no system
→ no identity
The next step
If persistence depends on preserved coherence across configurations, then identity is not a property of states, but of sequences.
This leads to the next question:
Frequently Asked Questions
What is the configuration chain framework?
The configuration chain framework is a structural model that explains how systems remain the same while continuously changing. It defines persistence as the preservation of relational coherence across successive configurations.
How can something change and still remain the same system?
A system remains the same when the relations that define it are preserved within certain limits. Even if components change, identity persists as long as structural coherence is maintained across transitions.
What determines whether a system persists over time?
Persistence is determined by whether successive configurations remain coherent within a bounded tolerance. If coherence is lost, the system no longer exists as the same identifiable entity.
What is meant by coherence in complex systems?
Coherence refers to the preservation of the relations that organise a system. It is not about identical states, but about maintaining structural consistency across change.
Why is tolerance important for stability and identity?
Tolerance defines how much a system can change without losing coherence. Without tolerance, any variation would break identity. With too much variation, coherence collapses.
Is identity based on components or structure?
In this framework, identity is not based on fixed components but on the preservation of relational structure across change.
How is this different from traditional stability theories?
Traditional theories describe how systems remain stable within specific domains. This framework introduces a domain-independent structural condition that explains persistence across physical, biological and cognitive systems.
Can this framework be applied outside physics?
Yes. The framework is domain-independent and applies to biological systems, cognition, organisations and any system that evolves through structured change.
Does this framework replace time in explaining change?
No. It does not remove time as a description, but it removes time as a causal explanation. Change is treated as the mechanism, while time is a way to order and describe it.
What is the difference between stability and identity in this framework?
Stability describes the system’s ability to preserve coherence under change. Identity is the observable continuity that results from that stability across a sequence of configurations.