ADDENDUM I TO THE TRIPTYCH: RELATIONAL SUFFICIENCY HYPOTHESIS (RSH): Operational foundations for a relational theory of consciousness.

Summary

This document is a version update for Addendum I of the Triptych framework on consciousness. Version 0.2 corrects errors, improves structure, and updates the scope note to reflect the framework's evolving position that subjective experience is constitutively relational rather than substrate-bound. It expands comparative analysis against ten existing theories, adds formal definitions for the soft intersection operator, and includes five articulated limitations: no empirical validation, uneven operationalization, dependence on other addenda, uncalibrated threshold, and speculative AI bridge.

Study at a glance

Abstract

Addendum I - Relational Sufficiency Hypothesis (RSH): v0.2 Changelog --- Version 0.2 is a maintenance and alignment update to Addendum I, the first extension of the Triptych's definition of consciousness. It corrects errors present in the initial release (v0.1, September 2025), improving the document's structure and formatting, and - most importantly - updates the Scope Note to reflect the framework's evolving position on the phenomenal question, which was not yet addressed at the time of v0.1 but has since been developed in the subsequent addenda. --- Publication note Version 0.1 of this addendum was originally published as part of the Triptych record (DOI: 10.5281/zenodo.17219502) in September 2025. Starting with v0.2, Addendum I is published as a standalone record with its own DOI, consistent with the publication model already adopted for Addendum II and Addendum III. The Triptych record remains the primary source for the core framework. Substantive corrections - Corrected acronym throughout: SRH → RSH (Relational Sufficiency Hypothesis).- Fixed typographical error in symbols table: ε_M was incorrectly labeled (e_R); corrected to (e_M).- Updated Scope Note (Section VIII): retains the original v0.1 limitation of RSH to the functional level (performance profile), but adds an explicit v0.2 paragraph clarifying that the framework as a whole (Triptych + RCRC from Addendum II + RPR from Addendum III) addresses the phenomenal question through reformulation - subjective experience is constitutively relational, not intra-substrate. Content additions - Expanded Related Work (Section IX) from five summary points into ten subsections (IX.1-IX.10) with full comparative analysis against existing theories: Hard Problem (Chalmers), IIT (Tononi), GNW (Dehaene & Changeux), FEP/Active Inference (Friston), Enactivism (Maturana & Varela), AST (Graziano), 4E Cognition (Clark & Chalmers), Social Regulation (Hasson et al., Coan & Sbarra), Cultural Replicators (Dawkins, Blackmore), and AI Patterns.- Expanded the formal definition of the ∩² (soft intersection) operator (Section V.2). The ∩² operator was originally developed in detail within the Philotic studies chapter of the Triptych; the relevant formal apparatus - including the two-axis interpretation (pairs × time/contexts), hard vs. soft core definitions, persistence measure μ(x), threshold θ, weighted variant, and symbol key - has been transferred into Addendum I to provide the necessary operational background for RSH and to make the addendum self-contained for readers who may not have access to the full Triptych. The Triptych's Philotic studies chapter remains the primary source, including its literature anchoring in APIM (Actor-Partner Interdependence Model) and multilayer/temporal network (multiplex) theory.- Added Limitations (Section XII) with five explicitly articulated constraints: no empirical validation, uneven depth of operationalization, dependence on subsequent addenda for the phenomenal argument, uncalibrated threshold θ, and speculative AI bridge (with a note on the semisymbiotic reframing of ε_L as distributed across the relational field).- Added footnote to prediction H3 (Section VI) linking the non-universality of meta-awareness to Addendum III: the GSA Premise ("The Uneven Field of Consciousness") and the Reversal Principle (RPR), which together explain why MA ≈ 0 can persist even in cognitively capable individuals. Structural changes - Added Table of Contents after the title page.- Added Abstract (Section I) and Background and Motivation (Section II).- Added Editorial Note (Section XIII) explaining the genesis of the document: Addendum I was developed nearly in parallel with the Triptych, and v0.1 had the character of a working note rather than a formally structured publication.- Expanded References (Section XV) to 22 entries organized by tradition, with cross-referencing to Addenda II and III via [AI], [AII], [AIII] markers. New entries include: Clark & Chalmers 1998, Hasson et al. 2012, Coan & Sbarra 2015, Dawkins 1976, Blackmore 1999, Chalmers 1995, Tononi 2004/2008, Dehaene & Changeux 2011, Parr et al. 2022, Maturana & Varela 1980, Varela et al. 1991, Graziano 2019, Spinoza 1677/1925.- Added Version History (Section XVI) tracking changes between v0.1 and v0.2.- Numbered sections I-XVI, with improved structure and formatting.- Reformatted to A4, Calibri, with header tables, blockquotes for key theses, and consistent typographic conventions.- Added licensing notice consistent with the entire framework: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0).

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