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Recursive Compression Theory (RCT): A Mechanistic Framework for Temporal Reflexivity and Subjective Continuity

Amber Rose Lloyd-White

Zenodo (CERN European Organization for Nuclear Research) May 12, 2026 preprint DOI: 10.5281/zenodo.20128922 (opens in new tab)

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Characteristics Theoretical or philosophical paper
Key points Proposes that subjective continuity arises from recursive compression of a system's own prior compressions, producing reflexive temporal loops. Argues consciousness should be modeled as a graded phenomenon emerging along a spectrum of recursive architectures, characterized by three constructs—recursive depth (Ψ), recursive complexity (Χ), and policy reflexivity (Ρ)—rather than as a binary property, and offers this as a research programme rather than a solution to the 'hard problem'.

Abstract

Recursive Compression Theory (RCT) proposes that subjective continuity arises when an information-processing system recursively compresses not only its inputs, but also its own prior compressions. This produces a cascade of reflexive temporal loops through which the system internalises its history, modifies its own processing rules, and stabilises a coherent interpretive perspective across time. RCT does not attempt to solve the metaphysical “hard problem” of consciousness. Instead, it specifies mechanistic conditions under which temporally extended self-referential processing becomes possible. The theory introduces three operational constructs—recursive depth (Ψ), recursive complexity (Χ), and policy reflexivity (Ρ)—which jointly characterise when an adaptive system reaches the threshold for reflexive temporal organisation. Consciousness is modelled as a graded phenomenon, emerging progressively along a spectrum of recursive architectures rather than as a binary property. RCT therefore provides both an explanatory framework and a research programme for studying when recursive processes become sufficient for subjective temporality.

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