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nf.relativistic.time_sync

Jeremy H. Carroll edited this page Oct 30, 2026 · 1 revision

Clock-Synchronization Normal Form (CSNF)

Contract ID: nf.relativistic.time_sync | Family: relativistic | Index Status: draft | AuthorityEffect: None

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1. Executive Summary & Metadata

Clock-Synchronization Normal Form (CSNF) enforces structural normalization and explicit defect routing in the relativistic regime.

Property Value
Canonical ID nf.relativistic.time_sync
Short Name CSNF
Full Name Clock-Synchronization Normal Form
Family relativistic (Causal Lightcone Structure & Relativistic Clock Synchronization Contracts)
Qualification Extended Form Contract (Normal Form Contract)
Data / Math Posture in_motion
Index Status draft
Theory Status proposed
Verification Status absent
Contract Version v0
Governance Fence AuthorityEffect: None (certified_implies_authorized: false)

2. Visual Architecture & Normalization Diagram

Clock-Synchronization Normal Form (CSNF) Diagram


3. Concrete Worked Example & Mechanism

Visual Transition Summary

Stage Carrier / Operator Concrete State / Invariant
1. Before / Candidate Input Input Carrier (CSNF Candidate) Anomaly risk: assuming global time ; is exact, treating overlapping ; uncertainty intervals as physic...
2. Normalization / Gate CSNF Verification Gate timestamps explicitly bou... (certified_implies_authorized: false)
3. After / Certified Output Certified CSNF Output Invariant: ['clock_id', ; 'reference_epoch_id', ; 'elapsed_time_basis',...

4. The Four-Pillar Quadrilateral & Non-Claims

Every contract in simplex-normal-forms is evaluated against the Four-Pillar Quadrilateral defined in contracts/_golden_nfs/standard.yaml:

Pillar Requirement Contract Specification for nf.relativistic.time_sync
Pillar I: Excludes Anomaly Name and eliminate a specific class of data or state defects. assuming global time is exact, treating overlapping uncertainty intervals as physical simultaneity, silent clock epoch resets, and conflating missing timing evidence with computational exhaustion
Pillar II: Preserves Invariant State the structural invariant and protected skeleton preserved across transitions. Invariant: timestamps explicitly bound uncertainty intervals [t_nominal - offset, t_nominal + offset] based on declared reference epoch, drift bounds, and epoch reset history, routing unresolved overlaps to epistemic abstention
Protected Skeleton: ['clock_id', 'reference_epoch_id', 'elapsed_time_basis', 'drift_rate_bound', 'offset_uncertainty_interval', 'epoch_reset_identifier', 'relation_type']
Pillar III: Lossless Reconstruction State the non-loss reconstruction operator (join, direct sum, pullback, or replay). Lossless reconstruction under declared projection, direct sum, or pullback operators.
Pillar IV: Syntactic Decidability State how conformance is decided from declared constraints without unbudgeted scans. Decidable from declared schema and witness metadata within bounded evaluation budgets.

Explicit Non-Claims (certified_implies_authorized: false)

  • overlapping uncertainty intervals represent lack of resolved timestamp order, not proof of physical simultaneity or network concurrency
  • does not convert bounded clock intervals into absolute Newtonian simultaneity
  • does not authorize total ordering without disjoint certified intervals or an explicit consensus serialization certificate
  • missing timing evidence or unresolved intervals do not denote computational budget exhaustion

5. Operational Verification & Terminal Routing

5.1 Required Declarations

  • clock_id: unique local oscillator identifier
  • reference_epoch_id: declared synchronization epoch
  • elapsed_time_basis: monotonic elapsed counter since epoch
  • drift_bound: maximum drift rate rho (e.g. microseconds per second)
  • offset_bound: maximum synchronization offset epsilon at last sync
  • epoch_reset_log: history of clock adjustments and epoch step changes
  • relation_type: enum [timestamp_interval_order, consensus_logical_serialization]

5.2 Required Evidence

  • clock_sync_trace: list
  • drift_measurement_records: list
  • offset_interval_bounds: dict
  • reset_event_log: list
  • consensus_certificate_if_total_order_claimed: string_or_null

5.3 Validation Criteria

Criterion ID Name Condition
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5.4 Terminal Route Map

Every evaluation terminates in a declared local route mapped to a canonical terminal in standard.yaml:

Local Terminal Route Canonical Terminal
TimeCertified Preserve
UnresolvedIntervalOverlap Abstain
DriftBoundExceeded Invalidate
EpochResetRequired Repair
ConsensusSerialized Serialize
Unsupported Unsupported

5.5 Declared Failure Modes

  • symptom: wall-clock timestamps from two unsynchronized nodes are compared as exact scalars, diagnosis: absolute time assumption; overlapping uncertainty intervals, terminal: UnresolvedIntervalOverlap
  • symptom: clock drift exceeds declared maximum rate bound, diagnosis: synchronization failure, terminal: DriftBoundExceeded

6. Epistemic Claim Hygiene Quadrant

In accordance with the repository's epistemic claim discipline:

  1. What it supports:
    • Supports syntactic and operational checking of nf.relativistic.time_sync (CSNF) against its declared schema, boundary constraints, and witness obligations in this model.
    • Supports deterministic terminal routing (TimeCertified, UnresolvedIntervalOverlap, DriftBoundExceeded, EpochResetRequired) when required declarations or invariants fail.
  2. What it does not support:
    • Does not confer operational authority (AuthorityEffect: None, certified_implies_authorized: false).
    • Does not claim semantic truth of undeclared external processes or unverified upstream inputs beyond the declaredprotected skeleton.
  3. The narrowest defensible claim:
    • Within the declared substrate in_motion, this contract enforces that assuming global time is exact, treating overlapping uncertainty intervals as physical simultaneity, silent clock epoch resets, and conflating missing timing evidence with computational exhaustion is either excluded under timestamps explicitly bound uncertainty intervals [t_nominal - offset, t_nominal + offset] based on declared reference epoch, drift bounds, and epoch reset history, routing unresolved overlaps to epistemic abstention or routed to an explicit refusal/recovery terminal.
  4. The next test needed:
    • Property-based falsification and mutation testing across boundary edge cases and composed multi-step pipelines for nf.relativistic.time_sync.

7. Canonical YAML Contract (contracts/nf.relativistic.time_sync.yaml)

Click to expand full canonical YAML contract (contracts/nf.relativistic.time_sync.yaml)
schema_version: smplx.nf.contract.v0
contract_kind: normal_form_contract
identity:
  id: nf.relativistic.time_sync
  name: Clock-Synchronization Normal Form
  short_name: CSNF
  version: v0
  status: draft
  family: relativistic
  theory_status: proposed
  contract_status: draft
  verification_status: absent
classification:
  hierarchy_level: normal_form
  subject_kind:
  - timestamp_claim
  - replica_event
  - distributed_claim
  data_posture: in_motion
  mathematical_posture: operational
purpose:
  excludes_anomaly: assuming global time is exact, treating overlapping uncertainty
    intervals as physical simultaneity, silent clock epoch resets, and conflating missing
    timing evidence with computational exhaustion
  preserves_invariant: timestamps explicitly bound uncertainty intervals [t_nominal
    - offset, t_nominal + offset] based on declared reference epoch, drift bounds, and
    epoch reset history, routing unresolved overlaps to epistemic abstention
  protected_skeleton:
  - clock_id
  - reference_epoch_id
  - elapsed_time_basis
  - drift_rate_bound
  - offset_uncertainty_interval
  - epoch_reset_identifier
  - relation_type
  erased_structure: []
  non_claims:
  - overlapping uncertainty intervals represent lack of resolved timestamp order,
    not proof of physical simultaneity or network concurrency
  - does not convert bounded clock intervals into absolute Newtonian simultaneity
  - does not authorize total ordering without disjoint certified intervals or an explicit
    consensus serialization certificate
  - missing timing evidence or unresolved intervals do not denote computational budget
    exhaustion
obstruction_substrate:
  policy_ref: ../substrate/default_finite_obstruction_policy.yaml
  finite_carrier:
    description: finite clock synchronization packets with certified drift rates, offset
      bounds, monotonicity rules, and reset event logs
  carrier_realization:
    carrier_type: bounded_clock_synchronization_network
    synchronization_protocol: ntp_ptp_or_true_time
  geometry_module: null
  gauge_metric_selector: null
declarations_required:
- clock_id: unique local oscillator identifier
- reference_epoch_id: declared synchronization epoch
- elapsed_time_basis: monotonic elapsed counter since epoch
- drift_bound: maximum drift rate rho (e.g. microseconds per second)
- offset_bound: maximum synchronization offset epsilon at last sync
- epoch_reset_log: history of clock adjustments and epoch step changes
- relation_type: "enum [timestamp_interval_order, consensus_logical_serialization]"
evidence_required:
- clock_sync_trace: list
- drift_measurement_records: list
- offset_interval_bounds: dict
- reset_event_log: list
- consensus_certificate_if_total_order_claimed: string_or_null
validation_criteria:
- bounded_uncertainty_interval: timestamp claim carries certified interval [t - delta, t + delta] where delta = epsilon + rho * (t - t_sync)
- epoch_reset_tracking: clock resets emit explicit epoch advance records and are never silently folded into earlier epochs
- total_order_disjointness: total ordering between events A and B requires strictly disjoint intervals (t_A + delta_A < t_B - delta_B)
- interval_overlap_abstention: overlapping intervals without a consensus certificate route to UnresolvedIntervalOverlap (Abstain)
- drift_bound_verification: observed drift rates exceeding declared bounds route to DriftBoundExceeded (Invalidate)
terminal_routes:
- TimeCertified
- UnresolvedIntervalOverlap
- DriftBoundExceeded
- EpochResetRequired
- ConsensusSerialized
- Unsupported
terminal_route_map:
  TimeCertified: Preserve
  UnresolvedIntervalOverlap: Abstain
  DriftBoundExceeded: Invalidate
  EpochResetRequired: Repair
  ConsensusSerialized: Serialize
  Unsupported: Unsupported
extensions:
  condition_to_local_route_map:
    disjoint_certified_intervals: TimeCertified
    overlapping_intervals_no_consensus: UnresolvedIntervalOverlap
    drift_rate_breached: DriftBoundExceeded
    clock_reset_detected: EpochResetRequired
    overlapping_with_valid_consensus: ConsensusSerialized
certification:
  certificate_required: true
  certificate_kind: clock_sync_certificate
  obstruction_class_required: false
  loss_ledger_required: false
  loss_ledger_trigger_id: null
  verifier_required: true
authorization:
  authorized_by: null
  certified_implies_authorized: false
failure_modes:
- symptom: wall-clock timestamps from two unsynchronized nodes are compared as exact scalars
  diagnosis: absolute time assumption; overlapping uncertainty intervals
  terminal: UnresolvedIntervalOverlap
- symptom: clock drift exceeds declared maximum rate bound
  diagnosis: synchronization failure
  terminal: DriftBoundExceeded
references:
- ../relnf.md
- ../1_normal_forms.md
definition:
  source: coda_all_universe/mssn_sn_tower/definitions.md
  formal_statement: Clock-synchronization normal form establishing bounded uncertainty
    intervals from certified drift rates and synchronization offsets, separating physical
    timestamp ordering from logical consensus serialization, and routing unresolved
    overlaps to epistemic abstention.
  quadrilateral:
    qualifies_as_true_normal_form: false
    qualification_gap: reconstruction_is_not_a_relational_project_join
    anomaly_exclusion: assuming global time is exact and treating overlapping intervals
      as absolute simultaneity
    lossless_join:
      status: declared_reconstruction
      statement: timestamps carry synchronization error, clock authority, and bounded
        ordering limits
    dependency_preservation:
      status: declared_with_the_invariant
      statement: The preserved invariant stays on the declared schema. This form does
        not state a functional-dependency projection of a flat relvar decomposition.
    syntactic_decision:
      status: declaration_decidable
      statement: The check reads the declared constraints and validation criteria.
        One unrecorded runtime image is not the decider.
canonical_terminal_map:
  TimeCertified: Preserve
  UnresolvedIntervalOverlap: Abstain
  DriftBoundExceeded: Invalidate
  EpochResetRequired: Repair
  ConsensusSerialized: Serialize
  Unsupported: Unsupported
schema_ref: ./normal_form_contract_schema.yaml

🏛️ Simplex Normal Forms


📚 112 Normal Forms by Family

shape (17)
change (6)
coda (2)
representation (5)
transport (3)
compilation (1)
epistemic (15)
authority (1)
evidence (8)
derivation (12)
topology (2)
physics (20)
relativistic (2)
motion (3)
runtime (3)
experimental (8)
bridge (1)
query (1)
recursion (1)
security (1)

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