# Appendix B — S Output Format --- This appendix provides the standard template for recording a Strip analysis. Every application of S to an expression should produce a document in this format, ensuring consistency across analysts and enabling verification. --- ## Standard Output Template ``` ═══════════════════════════════════════════════════════ STRIP ANALYSIS — S OUTPUT ═══════════════════════════════════════════════════════ EXPRESSION: Source text: [Original expression in original language] Translation: [If applicable] Author/Source: [Who produced this expression] Domain: [Physics / Poetry / Scripture / etc.] Date: [When produced, if known] ─────────────────────────────────────────────────────── PROCEDURE LOG ─────────────────────────────────────────────────────── Step 1 — Decomposition: Functional tokens: [List decomposed tokens] Subject: [Who/what acts] Operation: [What action/relation] Object/Scope: [What is acted upon] Step 2a — Algebraic Mapping: [Token 1] → [Variable] — [reasoning] [Token 2] → [Variable] — [reasoning] [Token 3] → [Variable] — [reasoning] ... Step 2b — Etymological Strip: [Token 1]: Root: [Latin/Greek/Sanskrit/PIE root] Structural meaning: [What the root means across traditions] Cultural divergence: [If cultural meaning ≠ root meaning, note here] Mapping confirmed / CORRECTED: [Did 2a survive 2b?] [Token 2]: ... Step 3 — Domain Strip: Residual domain terms removed: [List] Remaining algebraic expression: [Formula after full strip] Step 4 — Formulation: Algebraic formula: [The stripped structural content] Step 5 — Structural Completion: Implied consequences: - [Consequence 1] - [Consequence 2] - ... Step 6 — Universality Test: Domain 1: [Name] — [Does formula hold? Y/N] — [Brief justification] Domain 2: [Name] — [Does formula hold? Y/N] — [Brief justification] Domain 3: [Name] — [Does formula hold? Y/N] — [Brief justification] Result: PASSES / FAILS Step 7 — Classification: Invariant match: [ι₁ / ι₂ / ... / ι₁₀ / candidate / ∅] ─────────────────────────────────────────────────────── 7-LAYER OUTPUT ─────────────────────────────────────────────────────── Layer 1 — Invariant (I): I = [Iₙ or ∅] If Iₙ: [Which invariant, with formula] Layer 2 — Emergent Function (𝔉): 𝔉_d = [Declared function] 𝔉_eff = [Effective function] Δ = [Gap: 0 / non-zero / critical] Layer 3 — Vector (v): v_d = [Declared direction] v_eff = [Effective direction] λ_L = [< 0 / ≈ 0 / > 0] Layer 4 — Source Signature (Σ_src): Position: [Direct / Intermediary / Derivative] Coherence: [High / Medium / Low] Authority: [Structural / Role-based] Consciousness: [High (1.0) / Medium (0.7) / Low (0.3) / Zero (0.0)] Layer 5 — Relational Field (R): R = [Mutual (1.0) / Unilateral (0.7) / Projected (0.4) / Instrumental (0.2) / Performative (0.1) / Absent (0.0)] Apparent receiver: [Who the expression is addressed to] Structural receiver: [Who the expression actually operates on] Layer 6 — Temporal Phase (τ_ph): τ_ph = [Ascending / Descending / Bifurcation / Cyclic / Indeterminate] Note: τ_ph refers to the phase of the CONTENT, not the source. Derivation markers: Δ≈0 + λ_L<0 + R_mutual → ascending Δ growing + λ_L>0 + R degrading → descending λ_L≈0 + Δ unstable → bifurcation Recurrence without evolution → cyclic Markers ambiguous → indeterminate (note ambiguity) Layer 7 — Diagnostic Synthesis (Δ_𝔉): Classification: [Type 1-9b — see Chapter 6, §6.4] κ (coherence): [Computed via: κ = (w₁·δ_I + w₂·(1-|Δ_𝔉|) + w₃·align(v) + w₄·r + w₅·c_src) / Σwᵢ Default weights: w₁=3, w₂=2, w₃=2, w₄=1.5, w₅=1.5 Components: δ_I = 1 if ι≠∅, 0 otherwise |Δ_𝔉| = normalised gap [𝔉_d vs 𝔉_eff] align = directional alignment [v_d vs v_eff] r = R numerical value (see Layer 5) c_src = consciousness numerical value (see Layer 4)] Indication: [Brief structural recommendation] P (payload, §6.8): [{operation; target; marker}, …] — omitted when P = {}. Operations: A_deg / SR_loop / I_sem / shame-gradient / authority-gradient / unfalsifiable-fortress / ι₉-inversion. Flags: borrowed-carrier (ι-scatter) · bifurcation (κ-spread > 0.15 across independent runs) ─────────────────────────────────────────────────────── NOTES ─────────────────────────────────────────────────────── [Any additional observations, mimicry detection, relationship to other invariants, open questions] ═══════════════════════════════════════════════════════ Analyst: [Name / ID] Date of analysis: [Date] Method version: [SA v1.0] ═══════════════════════════════════════════════════════ ``` --- ## Usage Notes 1. **Step 2b is mandatory**. Every analysis must include the etymological strip. If the analyst skips Step 2b, the analysis is incomplete and unreliable. 2. **The Procedure Log must be preserved**. The 7-layer output alone is not sufficient — the procedure log shows *how* the analyst arrived at the output, enabling verification and error detection. 3. **Multiple analysts**: For high-stakes analyses, two or more analysts should independently apply S to the same expression and compare outputs. Divergences should be traced to specific steps and resolved. 4. **Superposition**: If the expression contains multiple invariants, list all of them in Layer 1 and note: - **9a (cooperative)**: invariants are compatible — note which receivers are likely to activate which invariant - **9b (antagonistic)**: invariants are in tension — apply diagnostic protocol: (1) contradiction test, (2) paradox test, (3) controphase test 5. **Type 3 subtypes**: For manipulation classifications, always distinguish: - **3a (conscious)**: source is aware of the inversion - **3b (unconscious)**: source genuinely believes their declared function. Note the gap between subjective and structural coherence. 6. **"Mimics" field**: If the expression is classified as semantic illusion or manipulation, always identify which invariant it mimics (Section 9.3). 7. **Version control**: As the method evolves, analyses should record the method version used. Future versions may add steps, refine classifications, or modify the invariant library.