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Chapter 13 — Compliance, Contracts & Audit
One-line objective: Use executable contracts as quality gates to form a closed loop of evaluate → sign → freeze → trace, ensuring that tau_mono and the published ts remain stably auditable under statutory/industry compliance and technical SLOs.
I. Scope & Targets
- Covered
- Time-base publication & version freeze: ts, tau_mono, warp(t), manifest.time.*.
- Contract library & evaluation: the C50-* assertion set, tol_*, and SLOs.
- Audit & traceability: TraceID, hash_sha256(blob), signature, and prev_hash chaining.
- Inputs
- Observations & statistics: offset, skew, J, offset_1pps, delta_form, pdop/cn0, event & alert streams.
- Policy & thresholds: policy.yaml (thresholds, rollback strategies, retention).
- Outputs
- Assessment reports: report.contracts, report.slo, q_score.
- Freeze & sign: manifest.time, signature, release_tag.
- Audit assets: immutable logs, hash chains, and replay evidence.
II. Terms & Variables
- Core fields: ts, tau_mono, warp(t), offset, skew, J, leap_event, UTC_smear(t), holdover, active_src.
- Thresholds & gauges: tol_offset, tol_skew, tol_J, tol_Tarr, SLO.*, p99(x).
- Trace & signatures: TraceID, hash_sha256(blob), prev_hash, signature, pubkey_ref.
- Uncertainty: u(x), U = k * u_c (see Appendix E).
- Units & dimensions: unit(x), dim(x), check_dim(expr).
III. Axioms P513- **
- P513-1 (Contracts first): No external publication proceeds without passing the C50-* contract suite and validating signatures.
- P513-2 (Monotone & dual-gauge): non_decreasing(ts) and dual-form T_arr publication are non-negotiable.
- P513-3 (Layered compliance): Technical SLOs are necessary; legal/industry compliance is sufficient—both must hold.
- P513-4 (Immutable trace): Audit logs are hash-chained and signed; rewrites and overwrites are prohibited.
- P513-5 (Minimum disclosure): Publish only the metadata required for audit; avoid coupling to business data.
- P513-6 (Replayable verification): Any release must be reproducible in isolation to yield equivalent manifest.time and signature.
- P513-7 (Cross-volume consistency): Contract fields and naming follow the unified lexicon of DataSpec and Methods.Cleaning/Imaging/CrossStats.
IV. Minimal Equations S513- **
- S513-1 (Release criterion)
pass_release = ( ∧_i 1{ test_i(report) = true } ) ∧ ( signature_valid = true )。 - S513-2 (Quantiles)
p99(x) = inf{ z : ( ∑ 1{ x_j ≤ z } ) / N ≥ 0.99 } — applicable to offset/skew/J and peers。 - S513-3 (Uncertainty composition)
U_offset = sqrt( ∑ u_k^2 ),publish U = k * u_c with unit(offset)="s", dim(offset)="[T]"。 - S513-4 (Hash & signature)
h = hash_sha256(blob);sig = Sign( privkey_ref , h );verify Verify( pubkey_ref , h , sig ) = true。 - S513-5 (Gauge-difference constraint)
delta_form = | ( 1 / c_ref ) * ( ∫ n_eff d ell ) - ( ∫ ( n_eff / c_ref ) d ell ) | ≤ tol_Tarr。 - S513-6 (Freeze consistency)
manifest_frozen = h_config ⊕ h_data ⊕ h_contracts ⊕ h_binaries(where ⊕ denotes the constructed aggregate hash)。
V. Compliance & Release Flow M50-13 (Ready → Evaluate → Sign → Freeze → Publish → Audit)
- Ready
Lock versions for configuration, binaries, contract library C50-*, threshold tol_*, and the public key pubkey_ref. - Evaluate
Compute offset/skew/J, p99(*), delta_form, offset_1pps, and source health; run evaluate_time_contracts. - Sign
Build manifest.time, compute h and Sign, verify Verify = true. - Freeze
freeze_release_time(tag); store artifacts and manifest.time; generate prev_hash → h chain pointer. - Publish
Atomically switch to the new tag; persist release_note and the public-facing SLO summary. - Audit
Emit audit_bundle = {manifest, report, logs_chain} and register TraceID; support offline replay verification.
VI. Contracts & Assertions (Selected)
- C50-131 (Monotonicity): violations( non_decreasing(ts) ) = 0.
- C50-132 (Offset/Skew/Jitter): | offset |_p99 ≤ tol_offset ∧ | skew |_p99 ≤ tol_skew ∧ J_p99 ≤ tol_J.
- C50-133 (Dual-form arrival): delta_form ≤ tol_Tarr and both T_arr forms recorded.
- C50-134 (Leap/smear consistency): if leap_event ≠ 0, UTC_smear satisfies | d UTC_smear / dt - 1 | ≤ eps_smear and is applied once.
- C50-135 (Source health gate): pdop ≤ pdop_max ∧ cn0 ≥ cn0_min ∧ spoof_score ≤ spoof_thr; otherwise holdover=true.
- C50-136 (Link budget): | offset_1pps | ≤ tol_1pps; after link correction check_dim( offset ) = pass.
- C50-137 (Signature & chain): Verify(pubkey_ref, hash_sha256(manifest), signature)=true ∧ prev_hash contiguous.
- C50-138 (Rollback readiness): last_good.tag exists and ttr_rollback ≤ ttr_max.
- C50-139 (Fields & units): required_fields ⊆ manifest.time.keys ∧ ( ∀x unit(x), dim(x) declared ).
VII. Implementation Bindings I50-13*
- evaluate_time_contracts(ds, rules) -> report
- export_time_manifest(tag, inputs, report) -> manifest.time
- sign_manifest(manifest, keyref) -> signature
- verify_manifest(manifest, signature, pubkey) -> ok
- freeze_release_time(tag) -> artifact
- audit_replay(bundle, sandbox) -> findings
- tamper_chain(logs) -> {ok, break_at} (verifies prev_hash continuity)
- risk_score(report, weights) -> q_score
- rollback_to(tag_last_good) -> state
- retention_compactor(policy) -> archive_index
- Invariants: unique(TraceID); signature_valid=true; manifest_frozen is read-only; mean(weights)=1 (normalized metric weights).
VIII. Cross-References
- Servos & sync constraints: Chapter 5.
- Offset/skew/jitter estimation: Chapter 6.
- Allan family & holdover uncertainty: Chapter 7.
- Arrival time & path gauges: Chapter 9.
- Boundary & anomaly handling: Chapter 12.
- Streaming ops & backpressure: Chapter 11 (rate limits & rollback during release switches).
IX. Quality SLIs & Risk Control
- SLIs (examples)
- offset_p50/p95/p99, skew_p99, J_p99, offset_1pps_p95.
- ts_monotonic_violations, source_switch_count, holdover_duration_s.
- contract_fail_rate, sig_verify_fail, audit_gap_seconds, smear_active_flag.
- SLOs (recommended)
offset_p99 ≤ tol_offset, J_p99 ≤ tol_J, contract_fail_rate ≤ 10^-3, ttr_rollback ≤ 5 min. - Risk & rollback
- On trigger breach → automatic rollback_to(last_good); holdover preferred over admitting unhealthy sources; gray-weight reinstatement.
- Periodic drills for leap/stall/spoof; audit tamper_chain = ok and audit_replay parity.
Summary
- This chapter operationalizes compliance, contracts, and audit as a closed loop of P513-* axioms, S513-* equations, M50-13 flow, C50-13* gates, and I50-13* interfaces.
- Any external time-base release is contingent on contract pass and signature verification, producing a replayable, traceable, rollback-ready manifest.time that remains consistent with the volume’s modeling and boundary-governance conventions.
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
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