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Chapter 8 — Observability and SLO


I. Scope and Objectives


II. Terms and SLI Families

  1. Indicator families: SLI (service level indicator), SLO (target), SLA_window (evaluation window), EB (error budget).
  2. Event identities: eid, pid_thr, gid, chan, idemp_key; clocks tau_mono (runtime metrics) and ts (audit).
  3. Primary SLI dimensions
    • Availability: SLI_avail = Good / Total.
    • Latency: P50/P90/P99, W, W_q, W_service.
    • Quality / Errors: ErrRate = 1 - SLI_avail; semantic success rate SemOK / Total.
    • Throughput & saturation: QPS, q_len, cap, bp, rho = lambda / mu.

III. Postulates P78 (Instrumentation, Labels, and Time)


IV. Minimal Equations S78 (SLOs and Budgets)


V. Metric Design (Names and Examples)

  1. Counters
    • threads.qps{endpoint,prio}, threads.req_total{...}, threads.good_total{...}.
    • chan.admit_total{chan}, chan.drop_total{chan,reason}.
  2. Histograms
    • threads.latency_ms_bucket{endpoint} (fixed buckets), used to derive P50/P90/P99.
    • chan.wait_ms_bucket{chan} (queue wait).
  3. Gauges
    chan.q_len{chan}, bp.level{chan}, lim.tokens{lim}, rho{service}.
  4. Quality
    threads.err_total{code,reason}, sem.ok_total{rule}.

VI. Tracing and Correlation (I70-7)

  1. Basics
    • Create a root span per request: span = trace_span("req", attrs={gid,pid_thr,endpoint}).
    • On thread hops or channel handoffs call trace_link(span, eid); mark ACK with attrs={"ack":true}.
  2. Key events
    Enqueue: eid_in; Dequeue: eid_out; Retry: eid_retry (with attempt); Idempotency hit: idemp_key.
  3. Sampling
    Baseline p_sample; force-retain when latency > L_obj or on error; boost sampling for soft-429/limited requests from Chapter 7.

VII. Logging (Structured and Privacy-aware)


VIII. Alerting and Rollback Gates


IX. Contract Assertion Templates (I70-8)


X. Coupling to the Execution Graph (Chapter 2 Alignment)


XI. SLO Parameter Suggestions (Baseline Bands)


XII. Operational Flow Mx-7 (Rollout and Governance)


XIII. Interface Bindings (I70-7 / I70-8)

  1. Metric emission
    • metric_emit("threads.req_total", 1, {endpoint, prio})
    • metric_emit("threads.good_total", 1, {endpoint})
    • metric_emit("chan.q_len", q_len, {chan})
  2. Tracing
    • span = trace_span("svc.handle", attrs={gid,pid_thr,endpoint})
    • trace_link(span, eid)
  3. Contract compute
    • sli_slo_compute({"type":"latency","quantile":0.99,"threshold_ms":200}, window="7d")
    • assert_thread_contract(G, tests=[...])

XIV. Cross-Volume Anchors and Time Calibration

delta_form = | ( 1 / c_ref ) * ( ∫ n_eff d ell ) - ( ∫ ( n_eff / c_ref ) d ell ) | as the timing-alignment uncertainty.
T_arr = ( 1 / c_ref ) * ( ∫ n_eff d ell ) and T_arr = ( ∫ ( n_eff / c_ref ) d ell ), and compute the gap
When SLIs straddle domains, T_arr may serve as a synchronization anchor; provide gamma(ell) and measure d ell. Use both forms

XV. Deliverables and Acceptance Checklist


Copyright & License (CC BY 4.0)

Copyright: Unless otherwise noted, the copyright of “Energy Filament Theory” (text, charts, illustrations, symbols, and formulas) belongs to the author “Guanglin Tu”.
License: This work is licensed under the Creative Commons Attribution 4.0 International (CC BY 4.0). You may copy, redistribute, excerpt, adapt, and share for commercial or non‑commercial purposes with proper attribution.
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
License link:https://creativecommons.org/licenses/by/4.0/