11-EFT.WP.Core.DrawingKinetics v1.0 | Chapter 9 Data Model and Manifest

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Chapter 9 Data Model and Manifest

I. Scope and Objectives

• Define the object set, fields, units, and dimensional gauges for schema.core.drawing/v1, covering geometry and kinematics, conservation and constitutive terms, spectra and the two arrival-time conventions, metrology and audits, quality gates, and traceability.
• Constrain the expression of windowing and path fields: always use the unified time base ts; represent paths explicitly by gamma(ell) with measure d ell. Any cross-volume field must follow the numbering and provenance requirements of Core.DataSpec and Core.Metrology.

II. Terminology and Symbols

• Geometry & kinematics: lambda(x,t), s(x,t) = ( d/dt ) ( ln( lambda ) ), v_in(ts), v_out(ts), A(x,t), gamma(ell), d ell.
• Conservation & flux: rho(x,t), rho_L(x,t) = rho * A, J(x,t) = rho_L * v.
• Tension & constitutive: T_fil(x,t), K_el, K_vis, params.
• Spectra & windows: S_xx(f), U_w, ENBW, C^2_{Tv}(f).
• Time base & arrival time: tau_mono, ts = alpha + beta * tau_mono, T_arr^(1) = ( 1 / c_ref ) * ( ∫ n_eff d ell ), T_arr^(2) = ( ∫ ( n_eff / c_ref ) d ell ), delta_form = T_arr^(2) - T_arr^(1).
• Quality gates & audits: check_dim(expr), eps_mass, eps_norm, eps_spec, fit_score, resid_p95.

III. Postulates and Minimal Equations

• P11-8 (manifest atomicity and traceability)
  Each manifest entry must contain a complete time-base mapping, window and path gauges, metrological uncertainty, and a version stamp to guarantee replayability and comparability.
• P11-9 (unit and dimension conservation)
  Before ingestion, run check_dim(expr) and unit audits on all derived quantities; publish only after passing.
• S12-16 (window averaging and energy consistency)
  For any sequence x(ts) over window W, define x_bar[W] = ( 1 / |W| ) * ( ∫_{W} x(ts) d ts ). The corresponding spectral energy satisfies ( ∫ S_xx(f) d f ) ≈ var( x(ts) ), with discrepancy recorded as eps_spec.
• S12-17 (explicit path integration)
  Any path quantity is stored as ( ∫_{gamma(ell)} q(ell) d ell ), and the manifest records gamma’s parameterization and support.

IV. Data and Manifest Gauges

1. Top-level object (schema.core.drawing/v1)
   • meta.*
     1. meta.schema = "schema.core.drawing/v1"
     2. meta.uid (string, run-unique identifier)
     3. meta.ts_created (ISO-8601)
     4. meta.software.version, meta.pipeline (production line / algorithm version)
   • timebase.*
     1. timebase.alpha (s), timebase.beta (dimensionless), timebase.jitter_rms (s)
     2. timebase.ref (reference clock description), timebase.anchor (set of anchor events)
   • path.*
     1. path.gamma (string, parameterization description), path.ell_start (m), path.ell_end (m), path.measure = "d ell"
     2. path.medium.c_ref (m/s), path.medium.n_eff_model (model/parameters)
   • geometry.*
     1. geometry.R_nom (m), geometry.R_eff_model (model name and parameters)
     2. geometry.A_in (m^2), geometry.A_out (m^2), geometry.lambda_method (inlet/outlet speed ratio or geometric inference)
   • sensors.*
     1. sensors.tension.k_T (N/count), sensors.tension.adc_0 (count), sensors.tension.drift_model
     2. sensors.encoder.scale (rad/count or m/count), sensors.env.* (temperature/humidity, etc.)
   • series.* (time series, all aligned to ts, units per field)
     1. series.ts (s)
     2. series.v_in, series.v_out (m/s)
     3. series.lambda (dimensionless), series.s (1/s), series.A (m^2)
     4. series.T_fil (N), series.rho (kg/m^3), series.rho_L (kg/m), series.J (kg/s)
   • spectral.* (frequency-domain derivatives, window and ENBW must be stated)
     1. spectral.cfg.window (name), spectral.cfg.size (s), spectral.cfg.hop (s), spectral.cfg.ENBW (Hz)
     2. spectral.S_TT (N^2/Hz), spectral.S_vv ((m/s)^2/Hz), spectral.C2_Tv (dimensionless coherence)
     3. spectral.U_w (window energy, normalized gauge)
   • conservation.*
     conservation.eps_mass (dimensionless), conservation.eps_norm (dimensionless), conservation.residual_series (optional)
   • arrival.*
     1. arrival.T_arr_1 (s) = ( 1 / c_ref ) * ( ∫ n_eff d ell )
     2. arrival.T_arr_2 (s) = ( ∫ ( n_eff / c_ref ) d ell )
     3. arrival.delta_form (s) = T_arr_2 - T_arr_1
     4. arrival.path_ref = gamma(ell), arrival.medium.c_ref, arrival.medium.n_eff
   • qc.* (quality gates and thresholds)
     1. qc.gate.mass, qc.gate.norm, qc.gate.spec, qc.status (PASS/FAIL)
     2. qc.fit_score, qc.resid_p95
   • provenance.*
     1. provenance.inputs (raw file list and hashes)
     2. provenance.commands (key parameter cards)
     3. provenance.notes (human notes)
2. Field units and dimensions (example audits)
   check_dim( T_fil ) == N; check_dim( v_in ) == m/s; check_dim( rho_L ) == kg/m; check_dim( s ) == 1/s; check_dim( T_arr_1 ) == s.
3. Windowing and indexing
   • window.id (increasing integer), window.t0 (s), window.t1 (s), window.n_samples (integer).
   • Any window statistic or spectral metric must reference window.id and record spectral.cfg.*.
4. Missingness and quality flags
   • Use adjacent *_qf fields to tag missing/saturated/extrapolated data: 0=ok, 1=missing, 2=saturated, 3=extrapolated.
   • Before external publication, summarize missingness and write into qc.*.

V. Algorithms and Implementation Bindings

1. I10-5 emit_metrics_drawing( state ) -> dict (main entry to build the manifest)
   • Aggregate calibration results from timebase.*, geometry.*, and sensors.* (see Chapter 8).
   • Compute series.* aligned to ts, run check_dim, and apply boundary cropping.
   • Generate spectral.* according to spectral.cfg.* and compute eps_spec.
   • Compute both arrival-time conventions in arrival.* and delta_form; write the path.* gauges.
   • Audit conservation.* (discrete residuals of S12-1 continuity), generate qc.*, and return.
2. I10-1 update_draw_state( state, bc:dict, dt:float ) -> StepReport
   Merge StepReport.series_delta directly into series.* and maintain provenance.inputs and window indices.
3. Idempotency and consistency
   Use deterministic window partitioning and fixed random seeds; repeated runs with identical inputs must produce the same uid and digest hashes.

VI. Metrology Flow and Run Graph

• Mx-11 outputs timebase.* and geometry.*.
• Mx-12 outputs sensors.* and constitutive parameters params (record under provenance.notes and qc.fit_score).
• Mx-13 writes conservation.* and the quality-gate results.
• I10-5 consolidates and emits the schema.core.drawing/v1 manifest with statistical attachments.

VII. Verification and Test Matrix

1. Structure and gauges
   • JSON schema validation and required-field checks (minimum: meta.*, timebase.*, series.ts).
   • Units/dimensions audit: run check_dim on series.* and arrival.*.
   • Path gauge consistency: arrival.path_ref must equal path.gamma.
2. Conservation and consistency
   • eps_mass <= gate.mass, eps_norm <= gate.norm.
   • Frequency-domain cross-evidence: median spectral.C2_Tv in the principal band must exceed the threshold.
   • Two-convention arrival-time gap: |delta_form| <= gate.form_tol, with confidence interval recorded.
3. Integrity and traceability
   • provenance.inputs hashes are reproducible.
   • meta.software.version and meta.pipeline resolve to a specific container image or commit.

VIII. Cross-References and Dependencies

• Chapter 2: lambda, s, v, A and gamma(ell) definitions populate series.* and path.*.
• Chapter 3: S12-1, S12-2 guide the computation and thresholds of conservation.*.
• Chapter 4: constitutive families for T_fil set the expected range and dynamics of series.T_fil.
• Chapter 7: S_xx(f), U_w, ENBW, and C^2_{Tv}(f) populate spectral.*.
• Chapter 8: timebase.*, geometry.*, sensors.* are produced by calibration; the two arrival.* gauges follow the same chapter’s conventions.
• Core.DataSpec, Core.Metrology, Core.Errors: unified clauses for manifest format, traceability, and quality gates.

IX. Risks, Limits, and Open Questions

• Late/out-of-order asynchronous streams can shift window boundaries; record realignment and compensation strategies in provenance.notes.
• Non-stationary paths or media can cause large delta_form swings; add segmented paths and time-varying n_eff to arrival.*.
• Spectral gauges under short windows and non-stationarity require extending eps_spec to a time-varying definition.
• Sensor saturation and drift-model mismatch can contaminate series.T_fil and spectral.S_TT; adopt fine-grained event-level *_qf annotations.

X. Deliverables and Version Management

1. Artifacts and naming
   • Main manifest: drawing.<uid>.v1.json (conforms to schema.core.drawing/v1).
   • Attachments: drawing.<uid>.series.parquet (large time series), drawing.<uid>.spectral.parquet, drawing.<uid>.report.pdf.
   • Change log: CHANGELOG.md (records ADD/MOD/FIX/PERF/SEC/DOC).
2. Versioning and migration
   • Minor field additions marked ADD with backward compatibility.
   • Gauge changes that affect comparability marked MOD, accompanied by a migration script and compatibility flag compat.drawing.v1.
   • Any change to timebase.*, path.*, or arrival.* definitions must bump the schema minor version and include a migration guide.