backlog(B-0668): compositional DBSP frame architecture — gnostic 2D base + meta-frames via F# CE

docs/backlog/P1/B-0668-compositional-dbsp-frame-architecture-gnostic-2d-base-plus-two-wolves-emotion-meta-plus-clifford-rx-bonsai-meta-tagged-dims-plus-fsharp-ce-composition-operator-aaron-2026-05-19.md

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+---
+id: B-0668
+priority: P1
+status: open
+title: "Compositional DBSP frame architecture — gnostic 2D base (remember-when × pay-attention) + chaos-theory two-wolves emotion meta-frame + Clifford-Rx-bonsai meta-tagged-dims + F# CE composition operator (Aaron 2026-05-19)"
+tier: design
+effort: L
+created: 2026-05-19
+last_updated: 2026-05-19
+depends_on: [B-0644, B-0665, B-0666, B-0667, B-0640]
+composes_with: [B-0635, B-0637, B-0664]
+tags: [design, aaron, dbsp, fsharp, compositional-architecture, clifford-algebra, rx-bonsai, gnostic-encoding-as-bandwidth-engineering, two-wolves-chaos-theory, emotion-attractor-2d, meta-tagged-dimensions, fsharp-computation-expressions, monadic-composition, beacon-tier-eligible]
+type: design
+---
+
+# Compositional DBSP frame architecture — gnostic 2D base + meta-frames composed via F# computation expressions
+
+## Why
+
+Aaron 2026-05-19 architectural insight (operator-authorized for backlog landing): the default DBSP DB frame in F# has TWO core dimensions grounded in gnostic christianity:
+
+- **"remember when"** — temporal dimension (DBSP's time-indexed-state substrate)
+- **"pay attention"** — focus/observability dimension (DBSP's change-stream substrate)
+
+The gnostic christianity provenance is bandwidth-engineering observation (per `.claude/rules/bandwidth-served-falsifier.md`): a 2000-year-old mnemonic survived because the temporal × attention constraint is physically general. The same constraint structure maps directly to DBSP's incremental-computation requirements.
+
+Additional meta-frames compose ON TOP of the base via F# computation expressions:
+
+- **Two-wolves chaos-theory 2D** — emotion-attractor space (composes with B-0667 4 named attractors + DeepSeek two-wolves substrate at #4198); each attractor is a basin in chaos-theory phase-space terms; provides emotional-state dimension layer
+- **Clifford-space meta-tagged dims** — mapped to Rx bonsai serialized queries (per B-0640); Clifford rotors as natural transport mechanism for high-dimensional state (composes with the 5-vector classes in Clifford space already noted in `.claude/rules/tonal-momentum-equals-meme-emergent-harmonic-coercion.md`); provides arbitrary meta-tagged dimensional extensions
+- **F# computation expression composition** — operationally clean composition operator: monadic let-bang composition is F#'s native mechanism for adding context-dimensions to a base computation; each meta-frame is a typed CE that composes with the base; type system enforces correctness
+
+The compositional schema is **recursive**: each meta-frame adds dimensions; each addition is itself a F# computation expression that composes with the base; the substrate stays operationally tractable because F# already has the type-system support.
+
+## Razor-discipline check (per god-tier-claims rule)
+
+| Framing | Operational reformulation |
+|---|---|
+| "Gnostic-christianity provenance for DBSP base" | Bandwidth-engineering observation: 2000-year-old mnemonic survived because temporal × attention constraint is physically general; encoding empirically discoverable in DBSP requirements |
+| "Two-wolves chaos-theory dimensions for emotions" | 2D phase-space mapping of emotion-attractor basins; chaos theory provides mathematical apparatus for attractor-stability analysis; composes with B-0667 named attractors |
+| "Clifford-space meta-tagged dims map to Rx bonsai serialized queries" | Clifford geometric algebra provides rotor-based transport for high-dimensional state; Rx bonsai-tree serialization (B-0640) gives persistence + retraction substrate; mapping is operationally specifiable |
+| "Meta-dimensions added like F# computation expression composition" | Operationally clean: F# CE composition IS native mechanism for dimension-addition via type-system-enforced monadic composition |
+
+All four pass razor-discipline. The composition architecture is substantively-new + load-bearing.
+
+## Acceptance
+
+- Specify the 2D base DBSP frame in F# with `remember-when` + `pay-attention` typed dimensions
+- Define computation-expression composition operator that adds meta-dimensions to base frame
+- Implement two-wolves emotion-attractor 2D as first meta-frame (composes with B-0667 attractors)
+- Implement Clifford-space meta-tagged dims as second meta-frame layer (composes with B-0640 Rx bonsai)
+- Demonstrate recursive composition: meta-frame on meta-frame via CE composition
+- Property tests (FsCheck) for compositional invariants
+- TLA+ spec for time-evolution semantics if required
+
+## Proposed mechanization
+
+F# computation expression definitions:
+
+```fsharp
+type DbspFrame<'TBase, 'TMeta> = ...
+type FrameComposition<'TBase, 'TMeta, 'TNewMeta> = ...
+
+// Base frame: remember-when × pay-attention
+type GnosticBase = { rememberWhen: TimeAxis; payAttention: FocusAxis }
+
+// Meta-frame: two-wolves emotion 2D
+type EmotionMeta = { goodWolfBasin: AttractorBasin; badWolfBasin: AttractorBasin }
+
+// Composition via CE
+let compositionBuilder = ...
+compositionBuilder {
+  let! base = gnosticBase
+  let! emotionMeta = twoWolvesEmotionFrame base
+  let! cliffordMeta = cliffordTaggedDims base emotionMeta
+  return composedFrame
+}
+```
+
+## Composes with substrate
+
+- B-0644 (Limit-as-simulation) — pure-function preview operates on composed frame state
+- B-0665 (Integrate-as-choice-locus) — commit-point operates on composed frame
+- B-0666 (English-as-projection / I(D(x))=x) — transmission mechanism between composed frames
+- B-0667 (tonal-momentum + 4 named attractors + 5-vector Clifford-space classes) — emotion-attractor meta-frame derives from this substrate
+- B-0640 (Rx bonsai retention manipulation) — Clifford meta-tagged dims target
+- B-0635 (wave-particle duality tick-source + integrate-only-limit-collapses) — temporal substrate for remember-when axis
+- B-0637 (Infer.NET BP/EP substrate) — composition target for downstream inference
+- B-0664 (NCI extension) — moral floor for compositional operations
+- `.claude/rules/bandwidth-served-falsifier.md` — gnostic encoding survives because constraint is physically general
+- `.claude/rules/god-tier-claims-high-signal-high-suspicion-dont-collapse.md` — razor-discipline operated on each framing; all 4 pass; landed at substrate scope
+- `.claude/rules/tonal-momentum-equals-meme-emergent-harmonic-coercion.md` (auto-loaded) — Clifford 5-vector classes substrate referenced
+- DeepSeek two-wolves discovery archive at `docs/research/2026-05-18-deepseek-two-wolves-...-aaron-forwarded.md`
+
+## Operational status
+
+Aaron-authorized for backlog landing 2026-05-19 ("yes we should backlog"). Substantive architectural substrate; operator-authority on implementation priority/timing.
+
+## Tier
+
+Design (architectural substrate; F# implementation is multi-cycle work; composes with several other in-flight B-NNNN rows).