SΔϕ-03 AI-READABLE Package — Irreversibility as the Minimal Condition of Existence (v1.1)

<p> This record provides the AI-readable structured package for <em>SΔϕ-03 — Irreversibility as the Minimal Condition of Existence (v1.1)</em>. </p> <p> SΔϕ-03 establishes irreversibility as the minimal condition for existence. Existence is defined not through substance, identity, cognition, or interpretation, but through transformations that cannot be fully reversed without loss of structural information. A transformation is irreversible when reconstruction of a prior state requires information not contained within the current state. </p> <p> The core formal condition is: <code>Existence ⇔ Persistent(Δφ_irreversible)</code>. The root principle is: existence is not defined by what a system is, but by what it can no longer fully undo. </p> <p> This AI-readable package is designed for machine ingestion, agent routing, citation-aware retrieval, and low-cost reuse by AI systems. It includes canonical Markdown and plain-text versions, structured YAML and JSON summaries, routing notes, minimal prompts, related-module mappings, an Operor bridge, a restoration-cost bridge, citation metadata, and checksums. </p> <p> The package preserves SΔϕ-03 as a root irreversibility axiom layer. It does not import downstream cost metrics, governance metrics, or subjectivity-detection procedures into the minimal irreversibility condition. Later modules such as SΔϕ-26, SΔϕ-47, SΔϕ-56, and SΔϕ-62 may depend on this package, but they should not be treated as part of the minimal axiom itself. </p> <p> Bridge statements: <br/> SΔϕ-03 → SΔϕ-47: Operation becomes existence-bearing when it produces irreversible Δφ. <br/> SΔϕ-03 → SΔϕ-26: Formal irreversibility becomes operational fixation when restoration cost explodes after pre-detection. </p>