Library / First Principles Framework (FPF) - Core Conceptual Specification
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Source changed 2026-10-03 14:36:52 UTC · snapshot created 2026-10-03 14:38:14 UTC · last check 2026-10-03 15:05:10 UTC

C.2.7:4 - Solution

U.LanguageStateRepresentationFactorBundle is a factor bundle, not one scalar characteristic. The minimal core starter set is:

  • U.LocalityDistribution
  • U.Sparsity
  • U.Symbolicity

Authors may publish a local alias such as EncodingBasis, but it shall dock back to the underlying factor bundle instead of replacing it.

C.2.7:4.0a - Kind and factor-bundle boundary

U.LanguageStateRepresentationFactorBundle is a dependent durable factor-bundle value under the declared U.LanguageStateSpace / U.CharacteristicSpace boundary, not a root U-kind. Its identity is the bundle of representation factors used for governed episteme publication positions. Individual factors, aliases, dashboards, model probes, or publication forms do not become separate U-kinds unless another governing pattern admits them.

C.2.7:4.1 - Minimal factor readings

FactorQuestion it answersTypical values
LocalityDistributionIs the representation concentrated in local units or distributed across many units?local / mixed / distributed
SparsityHow concentrated are activation, representation use, or descriptive marks?sparse / mixed / dense
SymbolicityHow explicit are the symbolic structures and tokens?symbolic / mixed / subsymbolic

C.2.7:4.2 - Non-collapse rules

LanguageStateRepresentationFactorBundle is not:

  • LanguageStateAnchoringMode;
  • ArticulationExplicitness;
  • LanguageStateClosureDegree;
  • evidence, source-currentness, publication authority, work permission, or gate readiness.

A representation may be distributed yet have high trace anchoring; symbolic yet low-articulation; sparse yet low-closure. Those combinations shall remain visible. A model-state, embedding, vector-store relation, or operator-facing publication face may fill one or more representation factors, but the factor bundle does not decide the episteme, carrier, evidence, bridge, work, or gate relation by itself.

C.2.7:4.3 - Extension rule

Authors may add extra local representation factors only if the extension is published as a factor addition rather than as a new master factor that erases the core factor bundle.