Methodology

1. Definitions

Conversion
An operational transfer of a concept, quantity, or procedure from a source system ($S_0$) to a target system ($S_t$).

Conversion Loss ($\Delta$)
The observable distortion, semantic decay, or operational error introduced during a conversion.

Critical Failure
A conversion loss that produces epistemic invalidity, operational breakdown, or safety-critical risk.

2. Inclusion Protocol

A case is included in the Conversion Index only if the point of failure can be isolated at the level of the conversion interface. The Index does not document general misunderstandings; it documents broken transfers between systems.

Each valid case must satisfy all of the following:

  • Identifiable Systems
    Source and target systems are distinct and explicitly defined.
  • Specified Conversion Operation
    The mechanism of transfer (e.g., manual calculation, textual translation, software parsing, institutional rule-mapping) is documented.
  • Observable Impact
    The conversion loss produces a detectable epistemic, operational, or safety-relevant consequence.

Purely hypothetical cases or failures without downstream effects are excluded.

3. Classification Architecture (Taxonomy)

Each case is classified along a fixed set of axes. This taxonomy is designed to support cross-domain comparison without collapsing domain-specific differences.

Axis A: Domain

Identifies the primary knowledge system in which the conversion occurs.

  • Physical — measurement- and material-constrained systems (
  • Computational — software, algorithms, formal abstractions
  • Linguistic — natural language, translation, interpretive systems

One primary domain is required; secondary domains may be noted.

Axis B: Conversion Interface

Identifies where the transfer between systems occurs.

  • Human Interface — manual calculation, judgment, translation
  • Instrumental Interface — sensors, measurement devices, lab apparatus
  • Software Interface — code, file formats, pipelines
  • Institutional Interface — rules, conventions, policy frameworks

Axis C: Failure Mode

Identifies how the conversion degrades.

  • Protocol Mismatch — incompatible rules or assumptions
  • Silent Failure — output appears valid but is incorrect
  • Lossy Abstraction — relevant structure discarded during transfer
  • Semantic Drift — gradual meaning shift without explicit breakage

Impact Category

Each case is additionally tagged by dominant impact:

  • Epistemic Distortion
  • Operational Breakdown
  • Safety-Critical Failure

Each case must have one primary classification per axis. Reclassification is permitted as evidence evolves.

4. System Boundaries

Prototype Scope
The current dataset is a curated pilot set intended to validate the classification framework rather than serve as an exhaustive catalog.

Interpretive Margin
Physical and computational failures are often binary; linguistic and institutional conversions involve interpretive judgment. Where applicable, cases are constrained through cross-referencing multiple sources.

Current Constraint
The Index currently lacks a computational method for quantifying semantic drift across large textual corpora. Addressing this requires NLP and digital humanities resources beyond the scope of the v1.0 prototype.type.