nf.motion.horizon_emission

Horizon Emission Normal Form (HENF)

Contract ID: nf.motion.horizon_emission | Family: motion | Index Status: draft | AuthorityEffect: None

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1. Executive Summary & Metadata

Horizon Emission Normal Form (HENF) enforces structural normalization and explicit defect routing in the motion regime.

Property	Value
Canonical ID	nf.motion.horizon_emission
Short Name	HENF
Full Name	Horizon Emission Normal Form
Family	motion (Flow Control, Horizon Emission & Lieb-Robinson Locality Bounds)
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)

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2. Visual Architecture & Normalization Diagram

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3. Concrete Worked Example & Mechanism

Visual Transition Summary

Stage	Carrier / Operator	Concrete State / Invariant
1. Before / Candidate Input	Input Carrier (HENF Candidate)	Anomaly risk: claiming exterior ; emission preserves interior state ; authority without a horizon and...
2. Normalization / Gate	HENF Verification Gate	boundary-crossing data... (certified_implies_authorized: false)
3. After / Certified Output	Certified HENF Output	Invariant: ['horizon_boundary', ; 'interior_region', ; 'exterior_observer',...

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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.motion.horizon_emission
Pillar I: Excludes Anomaly	Name and eliminate a specific class of data or state defects.	claiming exterior emission preserves interior state authority without a horizon and loss ledger
Pillar II: Preserves Invariant	State the structural invariant and protected skeleton preserved across transitions.	Invariant: boundary-crossing data declares interior exterior emission channel conservation ledger and recoverability class Protected Skeleton: ['horizon_boundary', 'interior_region', 'exterior_observer', 'emission_channel', 'coarse_graining_map', 'conservation_ledger', 'recoverability_class']
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)

• does not resolve the black-hole information problem
• does not assert a physical Hawking spectrum unless a finite physical model supplies that evidence
• does not let exterior summaries authorize inaccessible interior state without a declared lift or refusal
• does not replace CODA-MUR loss-ledger obligations for ordinary representation transport

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5. Operational Verification & Terminal Routing

5.1 Required Declarations

• horizon_boundary
• interior_region
• exterior_observer
• crossing_rule
• emission_channel
• coarse_graining_map
• conservation_ledger
• recoverability_class
• refusal_rule_for_interior_claims

5.2 Required Evidence

• boundary_crossing_trace
• emitted_packet_log
• loss_or_redaction_ledger
• conservation_ledger
• lift_witness_if_exterior_claim_mentions_interior_state

5.3 Validation Criteria

Criterion ID	Name	Condition
criterion	Check	exterior claims do not cite inaccessible interior state as authoritative without a lift witness
criterion	Check	emitted packets carry sufficient loss or conservation accounting
criterion	Check	irreversible deletion redaction eviction or compaction terminalizes as LossLedgerRequired unless exact lift exists
criterion	Check	recoverability class is explicit before emitted data drives downstream authority

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
ExteriorEmissionCertified	Escalate
LossLedgerRequired	Escalate
InteriorInaccessible	Refuse
RecoverabilityUnknown	Preserve
ConservationViolation	Reject
RefuseUnledgeredHorizon	Refuse

5.5 Declared Failure Modes

• symptom: compacted log or redacted store serves an exterior summary as if the erased interior rows remained reconstructable, diagnosis: unledgered horizon crossing, terminal: LossLedgerRequired
• symptom: consumer relies on emitted aggregate to make a row-level claim across an inaccessible boundary, diagnosis: exterior authority overreach, terminal: InteriorInaccessible

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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.motion.horizon_emission (HENF) against its declared schema, boundary constraints, and witness obligations in this model.
   • Supports deterministic terminal routing (ExteriorEmissionCertified, LossLedgerRequired, InteriorInaccessible, RecoverabilityUnknown) 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 claiming exterior emission preserves interior state authority without a horizon and loss ledger is either excluded under boundary-crossing data declares interior exterior emission channel conservation ledger and recoverability class 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.motion.horizon_emission.

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7. Canonical YAML Contract (contracts/nf.motion.horizon_emission.yaml)

Click to expand full canonical YAML contract (contracts/nf.motion.horizon_emission.yaml)

schema_version: smplx.nf.contract.v0
contract_kind: normal_form_contract
identity:
  id: nf.motion.horizon_emission
  name: Horizon Emission Normal Form
  short_name: HENF
  version: v0
  status: draft
  family: motion
  theory_status: proposed
  contract_status: draft
  verification_status: absent
classification:
  hierarchy_level: normal_form
  subject_kind:
  - horizon_boundary
  - emission_stream
  - distributed_claim
  data_posture: in_motion
  mathematical_posture: operational
purpose:
  excludes_anomaly: claiming exterior emission preserves interior state authority
    without a horizon and loss ledger
  preserves_invariant: boundary-crossing data declares interior exterior emission
    channel conservation ledger and recoverability class
  protected_skeleton:
  - horizon_boundary
  - interior_region
  - exterior_observer
  - emission_channel
  - coarse_graining_map
  - conservation_ledger
  - recoverability_class
  erased_structure: []
  non_claims:
  - does not resolve the black-hole information problem
  - does not assert a physical Hawking spectrum unless a finite physical model supplies
    that evidence
  - does not let exterior summaries authorize inaccessible interior state without
    a declared lift or refusal
  - does not replace CODA-MUR loss-ledger obligations for ordinary representation
    transport
obstruction_substrate:
  policy_ref: ../substrate/default_finite_obstruction_policy.yaml
  finite_carrier:
    description: finite boundary channel separating interior claims from exterior
      emitted packets summaries tombstones or redactions
  cochain_complex:
    C0: admissible_decodings_lifts_tombstones_or_loss_ledgers
    C1: horizon_crossing_loss_emission_mismatch_or_unledgered_redaction_defects
    C2: conservation_recoverability_or_authority_closure_failures
    d0: ledger_or_lift_to_emission_defect
    d1: emission_defect_to_closure_failure
    quotient: Q1 = C1 / im(d0)
  obstruction_class:
    notation: '[omega]'
    exact: '[omega] == 0'
    residual_closed: '[omega] != 0 and d1(omega) == 0'
    open: d1(omega) != 0
  carrier_realization: boundary_channel
  geometry_module: null
  gauge_metric_selector:
    weights:
    - recoverability
    - loss
    - conservation_violation
    - authority_risk
    selector_role: choose refusal or residual terminal when exterior evidence cannot
      lift interior claims
declarations_required:
- horizon_boundary
- interior_region
- exterior_observer
- crossing_rule
- emission_channel
- coarse_graining_map
- conservation_ledger
- recoverability_class
- refusal_rule_for_interior_claims
evidence_required:
- boundary_crossing_trace
- emitted_packet_log
- loss_or_redaction_ledger
- conservation_ledger
- lift_witness_if_exterior_claim_mentions_interior_state
validation_criteria:
- exterior claims do not cite inaccessible interior state as authoritative without
  a lift witness
- emitted packets carry sufficient loss or conservation accounting
- irreversible deletion redaction eviction or compaction terminalizes as LossLedgerRequired
  unless exact lift exists
- recoverability class is explicit before emitted data drives downstream authority
proof_obligations:
- id: henf.exterior_authority_soundness
  statement: exterior authority is limited to emitted packets and declared finite
    lifts
  status: deferred
terminal_routes:
- ExteriorEmissionCertified
- LossLedgerRequired
- InteriorInaccessible
- RecoverabilityUnknown
- ConservationViolation
- RefuseUnledgeredHorizon
certification:
  certificate_required: true
  certificate_kind: horizon_emission_certificate
  obstruction_class_required: true
  loss_ledger_required: true
  verifier_required: true
authorization:
  authorized_by: null
  certified_implies_authorized: false
failure_modes:
- symptom: compacted log or redacted store serves an exterior summary as if the erased
    interior rows remained reconstructable
  diagnosis: unledgered horizon crossing
  terminal: LossLedgerRequired
- symptom: consumer relies on emitted aggregate to make a row-level claim across an
    inaccessible boundary
  diagnosis: exterior authority overreach
  terminal: InteriorInaccessible
references:
- ../nf.coda.mur.transport.yaml
- ../relnf.md
- ../1_normal_forms.md
terminal_route_map:
  ExteriorEmissionCertified: Escalate
  LossLedgerRequired: Escalate
  InteriorInaccessible: Refuse
  RecoverabilityUnknown: Preserve
  ConservationViolation: Reject
  RefuseUnledgeredHorizon: Refuse
definition:
  source: coda_all_universe/mssn_sn_tower/definitions.md
  formal_statement: claiming exterior emission preserves interior state authority
    without a horizon and loss ledger. boundary-crossing data declares interior exterior
    emission channel conservation ledger and recoverability class
  quadrilateral:
    qualifies_as_true_normal_form: false
    qualification_gap: reconstruction_is_not_a_relational_project_join
    anomaly_exclusion: claiming exterior emission preserves interior state authority
      without a horizon and loss ledger
    lossless_join:
      status: declared_reconstruction
      statement: boundary-crossing data declares interior exterior emission channel
        conservation ledger and recoverability class
    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.
schema_ref: ./normal_form_contract_schema.yaml