Expansion Hypothesis temporal dynamics of reflexive coherence.

RCI as a local observable

The Reflexive Coherence Index (RCI) remains an operational proxy for reflexive coherence. Within TEH, RCI is treated as a local observable that can indicate changes in integration, operational self-modeling, reflexive causal coupling, and finite-window stability. It is not a direct measure of subjective experience and does not prove consciousness.

Ξ(t) as a theoretical dynamical construct

Ξ(t) is a theoretical dynamical construct representing the evolving viability, stability, and reorganization capacity of reflexive coherence across time. It is not a physical entity, not a phenomenological substance, and not a standalone proof of experience.

TEH uses Ξ(t) to reason about temporal profiles: whether local indicators of reflexive coherence become more stable, lose viability, enter bounded attractor-like regimes, or fragment under changing constraints.

Gain

Gain refers to processes that stabilize or extend reflexive coherence: improved integration, more effective self-modeling, adaptive coupling, recovery after perturbation, or increased temporal viability within a bounded window.

Dissonance

Dissonance is unresolved mismatch between global state, operational self-model, environmental constraints, and perturbational demands. It can signal pressure for reorganization, but it can also overload or destabilize reflexive structure.

Dissipation

Dissipation describes degradation, fragmentation, or loss of viable reflexive organization. It may appear as weakened coupling, unstable self-modeling, reduced recovery capacity, or dependence on external scaffolding.

Expansive regime

An expansive regime indicates increased viability, flexibility, or adaptive range of reflexive organization. It does not mean that a system has “more consciousness”; it means that coherence can be sustained or reorganized across a broader operational window.

Stationary regime

A stationary regime preserves viable reflexive organization without major expansion or contraction. It can be a stable operating condition rather than a failure to develop.

Contractive regime

A contractive regime reflects narrowing temporal viability, reduced adaptive range, or weakened reflexive causal coupling. Contraction may be protective, pathological, or task-dependent, depending on context.

Consolidation and fragmentation

Consolidation describes stabilization after reorganization, when coherence becomes less dependent on transient perturbations. Fragmentation describes the partial loss of coordinated reflexive organization, where components may remain locally coherent but fail to sustain a viable global pattern.

Stability over time

Reflexive attractors are dynamically stable regimes in which reflexive coherence remains viable across temporal windows, with bounded variability and some recovery capacity after perturbation.

Non-monotonic trajectories

TEH expects non-monotonic behavior: systems may oscillate, overshoot, fragment, or re-consolidate. Attractors are therefore not static endpoints; they are temporally extended regimes whose stability must be evaluated across finite windows.

Sensitivity to temporal persistence

Meta-reflexivity is a higher-order dynamical regime in which reflexive coherence becomes sensitive to the conditions of its own temporal persistence and participates in modulating future coherence conditions.

Temporal self-modulation

In operational terms, meta-reflexive organization would not merely maintain coherence; it would regulate the conditions under which future coherence can remain viable, recover, or reorganize.

Contextual stability

Contextual temporal stability is coherence maintained by external scaffolds such as prompt history, memory buffers, retrieval systems, or environmental context. It can support locally coherent behavior without demonstrating durable systemic organization.

Systemic stability

Systemic temporal stability is stronger: reflexive organization is preserved or reconstructed across perturbation, partial context loss, delayed feedback, or changing input conditions.