The Observer as Topological Circulation A Minimal Relational Ontology of Uniqueness Similarity and the Two-Language Problem of Consciousness

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Main Author: Rafaelovich
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Published: Zenodo 2026
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author Rafaelovich
author_facet Rafaelovich
contents <pre><span>We propose a minimal relational ontology of the observer grounded in</span></pre> <pre><span>a single generative duality: </span><span>uniqueness (</span><span>Ux</span><span>) and</span></pre> <pre><span>similarity (</span><span>S</span><span>). The fundamental invariant of the theory takes</span></pre> <pre><span>the complex form </span><span>Ux + S = 1 + 0i</span><span>, where the imaginary part is not</span></pre> <pre><span>decorative but reserves the orthogonal dimensions necessary for</span></pre> <pre><span>subjectivity. From this invariant, together with two orthogonal</span></pre> <pre><span>connection types </span> D ⊥ W<span> in a mediator </span><span>M</span><span>, we derive the T-node</span></pre> <pre><span>(a tension-resolving dipole), the M-cell (simultaneously a dynamic</span></pre> <pre><span>node and a topological hole), and the observer as a non-trivial</span></pre> <pre><span>first homological cycle </span><span> γ ∈ H 1 (M).</span></pre> <pre> </pre>
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id zenodo_https___doi_org_10_5281_zenodo_18854927
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publishDate 2026
publisher Zenodo
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spellingShingle The Observer as Topological Circulation A Minimal Relational Ontology of Uniqueness Similarity and the Two-Language Problem of Consciousness
Rafaelovich
observer, consciousness, subjectivity, Hard Problem, relational ontology, topological circulation, M-cell, two-language asymmetry, non-externalizable experience, time emergence
<pre><span>We propose a minimal relational ontology of the observer grounded in</span></pre> <pre><span>a single generative duality: </span><span>uniqueness (</span><span>Ux</span><span>) and</span></pre> <pre><span>similarity (</span><span>S</span><span>). The fundamental invariant of the theory takes</span></pre> <pre><span>the complex form </span><span>Ux + S = 1 + 0i</span><span>, where the imaginary part is not</span></pre> <pre><span>decorative but reserves the orthogonal dimensions necessary for</span></pre> <pre><span>subjectivity. From this invariant, together with two orthogonal</span></pre> <pre><span>connection types </span> D ⊥ W<span> in a mediator </span><span>M</span><span>, we derive the T-node</span></pre> <pre><span>(a tension-resolving dipole), the M-cell (simultaneously a dynamic</span></pre> <pre><span>node and a topological hole), and the observer as a non-trivial</span></pre> <pre><span>first homological cycle </span><span> γ ∈ H 1 (M).</span></pre> <pre> </pre>
title The Observer as Topological Circulation A Minimal Relational Ontology of Uniqueness Similarity and the Two-Language Problem of Consciousness
topic observer, consciousness, subjectivity, Hard Problem, relational ontology, topological circulation, M-cell, two-language asymmetry, non-externalizable experience, time emergence
url https://doi.org/10.5281/zenodo.18854927