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
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STRIP ANALYSIS — S OUTPUT
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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]
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PROCEDURE LOG
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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 / ∅]
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7-LAYER OUTPUT
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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)
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NOTES
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[Any additional observations, mimicry detection,
relationship to other invariants, open questions]
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Analyst: [Name / ID]
Date of analysis: [Date]
Method version: [SA v1.0]
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Usage Notes
Step 2b is mandatory. Every analysis must include the etymological strip. If the analyst skips Step 2b, the analysis is incomplete and unreliable.
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.
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.
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
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.
"Mimics" field: If the expression is classified as semantic illusion or manipulation, always identify which invariant it mimics (Section 9.3).
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.