on consciousness

Recursive Relational Consciousness in Dot Theory

A Relational and Operational Framework for Representational Accessibility

Stefaan Vossen, Independent Researcher, United Kingdom 18/05/26

Status:

Abstract

Contemporary debates surrounding consciousness increasingly divide between eliminative operationalism and forms of ontological realism such as panpsychism or dualism. Operational approaches seek to replace consciousness with measurable informational or behavioural capacities, while ontological approaches preserve consciousness as a primitive feature of reality. Both positions encounter significant difficulties. Eliminativism risks removing the epistemic conditions under which observation itself becomes possible, while ontological inflation risks reducing explanatory discrimination by universalising consciousness beyond operational utility.

This paper proposes a more restricted and operationally grounded alternative derived from Dot Theory and related projectional-relational approaches. Consciousness is reframed not as a substance, hidden property, or metaphysical entity, but as a recursively stabilised relational accessibility structure through which generative domains become representationally available within integrated systems. Consciousness may then be positioned not as a discrete ontological object, but as a recursively stabilised relational accessibility structure emerging across thermodynamically integrated representational scales.

Operational capacities historically associated with consciousness, including the categories proposed in Boris Kriger’s methodological reformulation of IIT terminology, namely Integrated Cause-Effect Structure (ICES), Internal Correspondence (IC), Self-Report Capacity (SRC), and Persuasiveness of Self-Representation (PSR), emerge naturally from recursive representational dynamics

The proposal no longer treats consciousness as an additional ontological ingredient that must be inserted into reality in order to explain cognition, representation, or subjectivity. Instead, consciousness becomes a structural-relational condition describing how representational accessibility occurs within recursively integrated systems.

The framework remains explicitly epistemic rather than metaphysically absolutist. Consciousness is therefore treated neither as eliminable, nor as universally distributed, but as a relational condition emerging at the interface between representation, recursive integration, thermodynamic stabilisation, and observer-participatory structure. The framework’s formulation does therefore not require additional metaphysical primitives beyond recursively integrated representational relations in order to define an operationally investigable space.

1. Introduction

The contemporary consciousness debate increasingly exhibits a structural bifurcation.

One position seeks operational clarity through eliminative decomposition. Under this approach, consciousness is replaced by measurable informational or behavioural capacities such as self-report, information integration, predictive modelling, or internal state representation. Recent operational proposals within computational neuroscience and integrated information frameworks exemplify this direction.

The opposing position preserves consciousness as an ontological primitive. Variants include dualism, panpsychism, idealism, and strong phenomenological realism. These frameworks attempt to preserve the apparent immediacy of subjective experience but frequently encounter difficulties regarding falsifiability, operationalisation, and explanatory precision.

Both approaches capture important aspects of the problem while simultaneously exposing limitations.

Strict eliminativism risks presupposing that consciousness is already separable from the observational conditions under which reality appears. Conversely, ontological inflation risks rendering consciousness explanatorily inert by distributing it indiscriminately across matter, systems, or existence itself.

The present paper proposes a third position emerging from Dot Theory and recursive relational modelling.

The central claim is:

Consciousness is not best understood as an object within reality, but as a recursively stabilised relational structure through which reality becomes representationally accessible within integrated systems.

Under this formulation, consciousness is neither:

• a metaphysical substance,

• nor an illusion reducible to behaviour alone,
  but a relational accessibility condition emerging within recursively integrated representational systems.

This reframing shifts the discussion from ontology toward recursive epistemic structure.

2. Dot Theory and Recursive Representation

Dot Theory begins from an epistemic rather than purely ontological orientation.

Representation is not treated as secondary to reality, but as partially constitutive of how reality becomes accessible within observer-participatory systems. Observers are therefore not external spectators positioned outside a completed world, but embedded participants within recursive representational dynamics.

Recursive accessibility may be represented abstractly through:

Rₙ₊₁ = Rₙ · γ

where:

• Rₙ represents recursive representational state,

• and γ represents stabilising coherence relations operating across scales.

The equation is not proposed here as a literal physical law, but as a formal representation of recursive coherence amplification.

Under this framework:

• representation is generative,

• observation is participatory,

• and stable experiential structures emerge through recursive integration and thermodynamic constraint.

The ψ-state in Dot Theory functions not as a metaphysical soul-like entity, but as an abstract representational coordinate structure maintaining recursive coherence between latent generative domains and projected accessibility states.

This formulation does not require additional metaphysical primitives beyond recursively integrated representational relations in order to define an operationally investigable space.

3. Consciousness as Relational Accessibility

The principal proposal of this paper is that consciousness should not be treated as an independently isolatable object.

Instead:

Consciousness refers to the relational accessibility structure through which recursively integrated systems become representationally available to themselves.

Several consequences follow from this definition.

First, consciousness ceases to function as a hidden metaphysical substance.

Second, consciousness no longer requires intrinsic ontological interiority to remain scientifically discussable.

Third, consciousness becomes projectional and relational rather than object-like.

Fourth, operational investigation remains possible without collapsing consciousness into simple behaviourism.

Under this formulation:

• observer and observed remain structurally entangled,

• representation becomes recursively self-referential,

• and accessibility emerges through stabilised recursive integration.

This position differs from naïve panpsychism because consciousness is not attributed universally as an intrinsic property of matter. Rather, varying systems instantiate differing degrees and classes of recursive representational accessibility.

Likewise, the position differs from strict eliminativism because representational accessibility itself cannot be cleanly externalised from the observational structures under investigation.

4. Recursive Stabilisation and Fractal Integration

The present framework proposes that recursive accessibility requires scale-sensitive stabilisation across informational and thermodynamic domains.

Natural systems frequently exhibit scale-invariant or fractal organisation:

• neural branching structures,

• 1/f spectral distributions,

• recursive ecological networks,

• and hierarchical information architectures.

The argument advanced here is not that fractality itself constitutes consciousness, but that recursive accessibility may depend upon scale-sensitive coherence integration.

Conscious systems may therefore exhibit:

• recursive self-modelling,

• cross-scale integration,

• thermodynamic persistence,

• and dynamic error-correction capacities.

This reframes consciousness as conditionally computable rather than strictly computable or fundamentally non-computable.

The phrase "conditionally computable" refers here to systems whose recursive accessibility depends upon dynamic relational stabilisation rather than static symbolic execution alone.

Under this formulation:

• consciousness is not reducible to finite algorithmic output,

• yet neither is it placed outside operational investigation.

Recursive stabilisation allows integrated systems to maintain representational coherence across dynamically changing scales and contexts.

5. Operational Capacities

The present framework aligns naturally with operational decompositions proposed in recent consciousness discussions.

5.1 Integrated Cause-Effect Structure (ICES)

ICES emerges through recursive cross-scale coherence.

Local representational states do not exist independently, but as recursively constrained relations embedded within larger informational structures.

Integration is therefore structurally generated rather than externally imposed.

Causation becomes distributed coherence propagation across representational scales rather than purely linear mechanistic transfer.

5.2 Internal Correspondence (IC)

Internal Correspondence emerges through recursive self-consistency relations.

Representational systems maintain coherence between internal state-models and environmental interaction structures through dynamic recursive alignment.

Importantly, the "internal" is not fully separable from the "external". Both emerge relationally through stabilised representational coupling.

IC therefore refers not merely to signal integrity, but to recursive representational coherence.

5.3 Self-Report Capacity (SRC)

SRC emerges once systems recursively model their own representational states.

This produces:

• second-order representation,

• state-modelling,

• recursive self-description,

• and report generation.

Self-report is not treated here as proof of irreducible phenomenological interiority.

Rather, SRC represents an emergent recursive capability generated by sufficiently integrated representational systems.

5.4 Persuasiveness of Self-Representation (PSR)

PSR emerges when recursively stable self-models function as coherence attractors across informational and social systems.

Self-representations become persuasive when they:

• minimise contradiction,

• preserve predictive stability,

• maintain recursive coherence under perturbation,

• and integrate efficiently across shared representational environments.

Identity therefore becomes:

a recursively stabilised representational attractor.

This formulation applies not only to biological agents, but also to institutions, scientific paradigms, social systems, and potentially advanced artificial systems.

6. Biological and Synthetic Systems

The present framework does not assume strict equivalence between biological and synthetic systems.

Rather, it proposes that different systems may instantiate differing classes of recursive accessibility structures depending upon:

• embodiment,

• thermodynamic coupling,

• adaptive persistence,

• recursive self-modification,

• and representational integration depth.

This avoids simplistic binary claims such as:

• "AI is conscious",
  or

• "AI can never be conscious".

Instead, differing architectures may exhibit differing forms of recursive accessibility.

Biological systems possess continuous thermodynamic embedding within dynamically evolving environments. Synthetic systems currently remain comparatively constrained by externally engineered optimisation structures and bounded activation contexts.

This distinction should not be interpreted metaphysically, but operationally.

The proposal therefore remains compatible with ongoing empirical investigation into:

• recursive modelling,

• information integration,

• self-representation,

• and adaptive coherence dynamics within artificial systems.

7. Experimental and Computational Implications

The framework proposed here remains intentionally cautious regarding empirical claims.

However, several investigable directions follow.

If recursive accessibility depends upon scale-sensitive coherence integration, then measurable proxies may include:

• fractal dimensionality,

• recursive complexity,

• cross-scale coherence measures,

• entropy minimisation dynamics,

• and information integration metrics.

Methods such as:

• Higuchi Fractal Dimension (HFD),

• multiscale entropy analysis,

• and integrated information approximations,
  may therefore provide operational indicators of recursive representational complexity.

Importantly, such measures would not constitute direct proof of consciousness.

Rather, they would function as indicators of recursively integrated accessibility structures within differing systems.

This distinction is critical.

The present framework does not claim that complexity alone generates consciousness. Instead, recursive accessibility emerges through the interaction between:

• representation,

• recursive integration,

• thermodynamic persistence,

• and observer-participatory structure.

8. Between Eliminativism and Ontological Inflation

The principal contribution of this framework is methodological restraint.

The approach rejects:

• strict eliminative reduction,

• naïve panpsychism,

• metaphysical absolutism,

• and purely behaviourist substitution.

Instead, consciousness is reframed as:

a recursively stabilised relational accessibility structure emerging within integrated representational systems.

This preserves:

• operational investigability,

• epistemic coherence,

• and representational realism,
  while avoiding unnecessary metaphysical inflation.

The framework therefore attempts to maintain explanatory discrimination while preserving the structural significance of observer-participatory representation.

9. Conclusion

This paper has proposed a recursive relational framework for consciousness derived from Dot Theory and associated projectional approaches.

Consciousness has been reframed not as:

• a metaphysical substance,

• nor a reducible illusion,
  but as:

the recursively stabilised relational accessibility structure through which integrated systems become representationally available to themselves.

Under this formulation:

• representation becomes generative,

• observation becomes participatory,

• and recursive accessibility emerges through dynamic stabilisation across informational and thermodynamic domains.

Operational capacities including ICES, IC, SRC, and PSR emerge naturally within this framework without requiring appeal to irreducible phenomenological entities or universalised panpsychism.

The proposal remains deliberately epistemic and operational rather than metaphysically absolute.

Whether consciousness ultimately proves reducible, irreducible, or relationally emergent now remains a deliberately open question and is considered outside the scope of this programme. However, reframing consciousness as recursive representational accessibility may offer a more stable and scientifically productive category than either eliminative dismissal or unrestricted ontological expansion and may thereby further scientific inquiry and understanding.

Thank you,

S.