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Main Author: Klemm, Sebastian
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Published: Zenodo 2026
Online Access:https://doi.org/10.5281/zenodo.19651107
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author Klemm, Sebastian
author_facet Klemm, Sebastian
contents <p><em>Solve et Coagula: Weaving & Stitching on a Constraint Lattice</em> introduces a rigorous, domain-agnostic framework for deterministic condensation of representations into stable, auditable fixed-point structures.</p> <p>The document formalizes “weaving” and “stitching” not as metaphor, but as reproducible mechanics: streams of representations are embedded into a structured space, filtered through a constraint lattice, and driven by a contractive operator stack across a dual-fabric architecture of coupled phases. The framework defines explicit gating conditions based on Proof-of-Resonance, mirror consistency, phase conductance, and Lyapunov safety, so that condensation events are accepted only under measurable invariants.</p> <p>Core contributions include:</p> <ul> <li>a deterministic <strong>constraint-lattice</strong> formulation for admissible regions and refinement programs,</li> <li>a <strong>dual-fabric</strong> model with Stitcher/Mirror coupling across two phases,</li> <li>a <strong>Solve → Coagula</strong> operator stack based on contractive dynamics,</li> <li>a fixed-point interpretation of stable condensates as <strong>Temporal Information Crystals (TICs)</strong>,</li> <li>and an <strong>audit-grade evidence model</strong> via Materialized Evidence Fragments (MEFs).</li> </ul> <p>The framework is intentionally <strong>domain-agnostic</strong>: it is designed as a machine-facing formalism that can be implemented, replayed, pressure-tested, and extended without relying on the author’s native cognitive interfaces. Its purpose is operational leverage under determinism, safety constraints, and reproducible gating.</p> <p>This work may be relevant to researchers and engineers working on:<br>deterministic AI systems, formal operator architectures, fixed-point dynamics, constraint-based inference, symbolic/post-symbolic computation, cybernetics, auditability, reproducible decision systems, and machine-verifiable control frameworks.</p> <p><strong>Keywords:</strong> deterministic systems, constraint lattice, fixed-point dynamics, cybernetics, dual-fabric architecture, operator stack, reproducibility, auditability, proof-of-resonance, Lyapunov safety, post-symbolic computation, formal framework</p>
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spellingShingle Solve et Coagula: Weaving and Stitching on a Constraint Lattice - A Rigorous Domain-Agnostic Framework for Dual-Fabric Reality Condensation
Klemm, Sebastian
<p><em>Solve et Coagula: Weaving & Stitching on a Constraint Lattice</em> introduces a rigorous, domain-agnostic framework for deterministic condensation of representations into stable, auditable fixed-point structures.</p> <p>The document formalizes “weaving” and “stitching” not as metaphor, but as reproducible mechanics: streams of representations are embedded into a structured space, filtered through a constraint lattice, and driven by a contractive operator stack across a dual-fabric architecture of coupled phases. The framework defines explicit gating conditions based on Proof-of-Resonance, mirror consistency, phase conductance, and Lyapunov safety, so that condensation events are accepted only under measurable invariants.</p> <p>Core contributions include:</p> <ul> <li>a deterministic <strong>constraint-lattice</strong> formulation for admissible regions and refinement programs,</li> <li>a <strong>dual-fabric</strong> model with Stitcher/Mirror coupling across two phases,</li> <li>a <strong>Solve → Coagula</strong> operator stack based on contractive dynamics,</li> <li>a fixed-point interpretation of stable condensates as <strong>Temporal Information Crystals (TICs)</strong>,</li> <li>and an <strong>audit-grade evidence model</strong> via Materialized Evidence Fragments (MEFs).</li> </ul> <p>The framework is intentionally <strong>domain-agnostic</strong>: it is designed as a machine-facing formalism that can be implemented, replayed, pressure-tested, and extended without relying on the author’s native cognitive interfaces. Its purpose is operational leverage under determinism, safety constraints, and reproducible gating.</p> <p>This work may be relevant to researchers and engineers working on:<br>deterministic AI systems, formal operator architectures, fixed-point dynamics, constraint-based inference, symbolic/post-symbolic computation, cybernetics, auditability, reproducible decision systems, and machine-verifiable control frameworks.</p> <p><strong>Keywords:</strong> deterministic systems, constraint lattice, fixed-point dynamics, cybernetics, dual-fabric architecture, operator stack, reproducibility, auditability, proof-of-resonance, Lyapunov safety, post-symbolic computation, formal framework</p>
title Solve et Coagula: Weaving and Stitching on a Constraint Lattice - A Rigorous Domain-Agnostic Framework for Dual-Fabric Reality Condensation
url https://doi.org/10.5281/zenodo.19651107