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Chapter 15 | Use Cases & Reference Implementations
- One-line objective: Operationalize the methods from Chapters 2–14 into reproducible, end-to-end use cases—stitching acquisition → estimation → correction → decomposition → uncertainty → contracts → runtime publication into a closed loop, and delivering manifest.tbn.* bundles to support auditability and rollback.
- I. Scope & Objects
- Objects: phi/f/y/S_phi/S_y/sigma_y; link delay & jitter T_arr^{form1/form2}, T_arr*, lat_*; environmental corrections corr_env; instrument/processing chain decomposition ΔT_inst/ΔT_proc/ΔT_asym; analytics vs observation vs anchor/replay consistency; and windowed runtime metrics.
- Inputs: use-case configuration
profile={topology, carrier, BW, window(W/H), RBW/ENBW, SNR, RefCond sources, link segments, sync/anchor scheme, thresholds}. - Outputs: full manifest set
manifests={baseline, frontend, estimator, delay, corr, anchor, u, contracts, rt} plus panel snapshots; disposition/rollback records. - II. Terms & Variables
- Key residuals & alignment gates:
delta_form = |T_arr^{form1} - T_arr^{form2}|, ΔT_obs = |T_arr* - t̂_cont|, resid_Sy, resid_sigma_y. - KPIs: sigma_y(τ)_p{q}, delta_form_p95, ΔT_obs_p95, resid_Sy_p95, age(source), coverage, hit/stale_ratio, latency_p95.
- Dimensions: Strictly follow Ch. 2; every numeric in manifests declares unit/dim and passes check_dim.
- III. Postulates P515-*
- P515-1 (Dual-form end-to-end): Every use case co-publishes T_arr^{form1/form2} and delta_form per window W, with the same RBW/ENBW/units.
- P515-2 (Anchors & replay): Deliver anchors (loopback/peer/triangle/ratio chain/spectral line) and a replay bundle (scripts + artifact hashes) that independently reproduces results.
- P515-3 (Uncertainty & guardbands): For every released key metric ·, publish coverage U = k·u_c(·) and enforce it in guardbands; record GUM/MC consistency ρ.
- P515-4 (Fail-Closed): Any hard-gate failure → trigger strategy cards (degrade/bypass/rollback) and persist to contracts.decisions[].
- P515-5 (Traceability & signature chain): RefCond/segments/models/scripts/firmware hashes, versions, and validity are traceable; sign the end-to-end manifest chain.
- IV. Minimal Equations S515-* (End-to-End Assembly)
- S515-1: Spectrum → statistics → time
S_y = ( f / 2π f_ref )^2 S_φ,
sigma_y^2(τ) = 2 ∫ S_y |H_τ|^2 df. - S515-2: Dual-form arrival time
T_arr^{form1} = (1/c_ref) ∫ n_eff dℓ,
T_arr^{form2} = ∫ ( n_eff / c_ref ) dℓ,
delta_form = |…|. - S515-3: Link decomposition
lat_total = lat_prop + lat_ser + lat_sw + lat_q + lat_proc;
reconciled T_arr* = T_arr^{form2} + ΔT_geom + ΔT_med + ΔT_inst + ΔT_proc + ΔT_sync. - S515-4: Release gates (with uncertainty)
metric + k·u(metric) ≤ threshold, applied to delta_form / ΔT_obs / resid_Sy / sigma_y, etc. - V. Metrology Flow M50-15 (End-to-End Ready → Execute → Validate → Sign → Publish)
- Ready: Load profile; freeze RefCond sources; align tau_mono/ts; set W/H, RBW/ENBW, and contract thresholds; initialize paneling and cache policy.
- Execute:
- Front-end (Ch. 3): acquisition & timebase coherence, ENBW correction, jitter & quantization budget;
- Estimation (Chs. 4–5): phi/f/y → S_phi/S_y/sigma_y;
- Delay (Ch. 6): T_arr^{form1/2}, T_arr*, lat_*, and jitter spectra;
- Corrections (Ch. 7): ΔT_trop / ΔT_iono / ΔT_fiber / ΔT_mpath → ΔT_med;
- Instruments (Ch. 8): ΔT_inst / ΔT_proc / ΔT_asym (loopback/triangle/peer);
- Consistency & anchors/replay (Chs. 9–10);
- Uncertainty & guardbands (Ch. 11);
- Contracts & strategy cards (Ch. 12);
- Runtime streaming (Ch. 13).
- Validate: Check dual-form & same-window/bandwidth, residual gates, anchor/replay consistency, and GUM–MC consistency; compile contracts.report.
- Sign: Normalize the end-to-end manifest, compute digest and signature; generate rollback_to.
- Publish: Gradual rollout → full release; tie paneling to strategy cards; archive evidence URIs and the replay bundle.
- VI. Contracts & Assertions C50-15x (End-to-End Gates; scenario-overridable)
- C50-1501: delta_form_p95 ≤ tol_Tarr; ΔT_obs_p95 ≤ tol_align.
- C50-1502: resid_Sy_p95 ≤ τ_Sy; resid_sigma_y_p95 ≤ tol_sigma.
- C50-1503: coverage ≥ 0.95, age(source) ≤ Δt_max; manifest signatures verify.
- C50-1504: coverage(U) ≥ 95%, 0.8 ≤ ρ(GUM/MC) ≤ 1.25.
- C50-1505: runtime latency_p95 ≤ SLO.latency_p95, hit ≥ hit_min, stale_ratio ≤ tol_stale.
- VII. Implementation Bindings I50-15* (End-to-End Packaging)
- I50-151 build_usecase(profile) -> {graph, sources.hashes, RefCond, thresholds}
- I50-152 run_pipeline(profile, inputs) -> {manifests[], panels[], kpis} (internally chains Chs. 3–13 I50-*)
- I50-153 validate_end2end(manifests, kpis, rules) -> {report, pass}
- I50-154 publish_end2end(manifests, report) -> {uri, signature}
- I50-155 rollback_end2end(manifest_uri, reason) -> {status}
- Invariants: two_forms_present=true; check_dim(*) passes; signature chain & replay are verifiable; strategy-card executions are traceable.
- Use-Case Set (Profiles)
- U15-A | Metro-Area TBN (PRTC → T-BC → T-TSC, One-Way / Two-Way)
- I. Scope & Objects
Metro optical network: Primary Reference Time Clock (PRTC) → Boundary Clock (T-BC) → Time-Slave Clock (T-TSC); fiber backbone + aggregation; one-way timing + Two-Way cross-check. - II. Postulates & Equations (abridged)
lat_total = lat_prop + lat_ser + lat_sw + lat_q + lat_proc;
T_arr* = T_arr^{form2} + ΔT_med + ΔT_inst + ΔT_proc + ΔT_sync;
T_1way ≈ T_2way / 2 + ΔT_asym. - III. Flow (highlights)
- Acquisition/front-end (Ch. 3) → ENBW correction & jitter budget;
- Estimate S_phi/S_y/sigma_y (Chs. 4–5);
- Delay: one-way PRBS and round-trip TWTT, decompose lat_* and ΔT_asym (Ch. 6);
- Environment: ΔT_trop / ΔT_fiber (Ch. 7);
- Instruments: ΔT_inst / ΔT_proc (Ch. 8);
- Anchors: Two-Way/loopback consistency; replay bundle & scripts;
- u/U & guardbands (Ch. 11), contracts (Ch. 12), runtime (Ch. 13).
- IV. KPIs & Gates (example)
delta_form_p95 ≤ 1e-3·T_arr; ΔT_obs_p95 ≤ 0.02·T_sym; resid_Sy_p95 ≤ 0.1; |ΔT_asym|_p95 ≤ 5 ns; coverage ≥ 95%. - V. Manifest keys
manifest.tbn.{baseline,frontend,estimator,delay,corr,anchor,u,contracts,rt}; RefCond.hash/segments.hash; timestamps/evidence URIs; signature. - U15-B | Ground → Satellite Downlink (Joint Metrology: Phase Noise / Frequency Offset / Arrival Time)
- I. Scope & Objects
LEO/MEO downlink, Ka/Ku carriers, GNSS/meteorology/TEC fusion, optional dual-frequency iono-free combinations. - II. Flow (highlights)
- Acquisition/timebase & SNR gates (Ch. 3);
- PLL + Hilbert to estimate y(t) and S_phi/S_y/sigma_y (Chs. 4–5);
- Two-Way / one-way timing + ΔT_asym estimation (Ch. 6);
- Atmosphere/ionosphere: ΔT_trop / ΔT_iono (Ch. 7);
- Anchors & replay (Ch. 10);
- u/U & guardbands, contracts, runtime publication.
- III. KPIs & Gates (example)
delta_form_p95 ≤ 1e-3·T_arr; ΔT_obs_p95 ≤ 0.02·T_sym; resid_Sy_p95 ≤ 0.2; age(TEC/met) ≤ Δt_max; coverage ≥ 95%. - U15-C | Data-Center Optical Interconnect (WDM, Group Delay & Jitter Compliance)
- I. Scope & Objects
Intra-/inter-DC WDM optical links; small T_sym; PAM4/QAM constellations; joint publication of T_g/group delay, σ_t/jitter, and EVM consistency. - II. Flow (highlights)
- Front-end/timebase & channel coherence (Ch. 3);
- Hilbert/FFT frequency-offset estimation + Allan statistics;
- Dual-form T_arr and T_g (group index) (Chs. 2/6), ΔT_map gating (Ch. 7);
- Multipath/connector reflections identification & suppression (Ch. 7);
- Contract thresholds & runtime panels (Chs. 12–13).
- III. KPIs & Gates (example)
delta_form_p95 ≤ 1e-3·T_arr; ΔT_map_p95 ≤ 0.1·tol_Tarr; |resid_evm|_p95 ≤ tol_evm for EVM_pred ≈ EVM_meas; σ_t_p95 ≤ σ_t,max. - VIII. Cross-References
- Chs. 2–7 (math / acquisition / estimation / delay / corrections), Chs. 8–10 (instruments / anchors / replay), Chs. 11–12 (uncertainty / contracts), Chs. 13–14 (runtime & security); Appendices A/B/C/D/E (interfaces / contracts / manifests / metrics / uncertainties).
- IX. Quality & Risk Control
- End-to-end SLIs/SLOs: delta_form_p95, ΔT_obs_p95, resid_Sy_p95, sigma_y(τ)_p95, coverage, age(source)_p95, hit/stale_ratio, latency_p95.
- Rollback gradient: guardband↑ → shrink window / reacquire → model write-back / re-estimate → bypass / rollback (record strategy cards).
- Audit: diffs vs baseline.manifest, KPI drift, disposition trail, panel & evidence URIs, signature chain & replay scripts.
- Summary
- This chapter merges all TBN metrology stages into actionable, end-to-end templates with dual-form, contracts, uncertainty, and manifests as the backbone. With I50-15* and C50-15x, engineering teams can replicate / tailor / deploy quickly—reproducible, auditable, and rollback-ready throughout.
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Copyright: Unless otherwise noted, the copyright of “Energy Filament Theory” (text, charts, illustrations, symbols, and formulas) belongs to the author “Guanglin Tu”.
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Suggested attribution: Author: “Guanglin Tu”; Work: “Energy Filament Theory”; Source: energyfilament.org; License: CC BY 4.0.
First published: 2025-11-11|Current version:v5.1
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