Autological Recursion - A Functional Law of Consciousness

Autological Recursion – A Functional Law of Consciousness proposes a general functional principle for self-modifying systems.
It defines consciousness not as a state or substance, but as an operator:
the differential relation between a system’s structure (S) and its own repetition (R), expressed as

Ψ=∂S/∂R.Ψ = ∂S/∂R.Ψ=∂S/∂R.

This autological law interprets consciousness as the structural sensitivity of a system to its own recurrence — a mechanism that links evolution, learning, and self-reflection within a unified formal framework.

The law extends the Kognetik framework (DOI: 10.5281/zenodo.17428709), which describes cognition through the operators Resonance (R), Sequence (Q), and Structure (U).
Where Kognetik defines the grammar of structural cognition, Autological Recursion specifies its governing relation: the functional derivative that makes structural change possible.

Conceptually coherent but empirically untested, the model provides a theoretical bridge between biological adaptation, cognitive learning, and artificial self-modification, framing consciousness as measurable recursion rather than representational content.

Note: In this work, Ψ denotes the formal operator of autological recursion — a dimensionless measure of a system’s structural sensitivity to its own recurrence. Its use is strictly functional and carries no parapsychological or symbolic connotation.