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nf.experimental.gauge

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

Gauge Experimental Extension (XGauge)

Contract ID: nf.experimental.gauge | Family: experimental | Index Status: draft | AuthorityEffect: None

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1. Executive Summary & Metadata

Gauge Experimental Extension (XGauge) enforces structural normalization and explicit defect routing in the experimental regime.

Property Value
Canonical ID nf.experimental.gauge
Short Name XGauge
Full Name Gauge Experimental Extension
Family experimental (Bounded Quantum-Classical, Contextuality, Quantifier Alternation & Agent-State Contracts)
Qualification Extended Form Contract (Normal Form Contract)
Data / Math Posture at_rest
Index Status draft
Theory Status experimental
Verification Status absent
Contract Version v1
Governance Fence AuthorityEffect: None (certified_implies_authorized: false)

2. Visual Architecture & Normalization Diagram

Gauge Experimental Extension (XGauge) Diagram


3. Concrete Worked Example & Mechanism

Visual Transition Summary

Stage Carrier / Operator Concrete State / Invariant
1. Before / Candidate Input Input Carrier (XGauge Candidate) Anomaly risk: gauge drift
2. Normalization / Gate XGauge Verification Gate protected_skeleton_must_be_declared_before_transport (certified_implies_authorized: false)
3. After / Certified Output Certified XGauge Output Invariant: ['source_regime', ; 'target_regime', ; 'protected_skeleton',...

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.experimental.gauge
Pillar I: Excludes Anomaly Name and eliminate a specific class of data or state defects. gauge drift
Pillar II: Preserves Invariant State the structural invariant and protected skeleton preserved across transitions. Invariant: protected_skeleton_must_be_declared_before_transport
Protected Skeleton: ['source_regime', 'target_regime', 'protected_skeleton', 'allowed_gauge_transformations', 'loss_ledger_policy']
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 make quantum market legal or physical domain claims part of the core taxonomy
  • does not promote experimental data regimes to normal forms

5. Operational Verification & Terminal Routing

5.1 Required Declarations

  • source_regime
  • target_regime
  • protected_skeleton
  • allowed_gauge_transformations
  • loss_ledger_policy

5.2 Required Evidence

  • transformation_trace
  • preserved_skeleton_witness
  • loss_ledger_when_distinctions_are_erased

5.3 Validation Criteria

Criterion ID Name Condition
criterion Check protected_skeleton_must_be_declared_before_transport
criterion Check erased_distinctions_require_loss_ledger
criterion Check experimental_claims_must_remain_quarantined

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
Preserve Preserve
Lift Lift
Escalate Escalate
Unsupported Unsupported
ClosureFailure ClosureFailure
BudgetUnknown BudgetUnknown
Quarantine Quarantine
Refuse Refuse

5.5 Declared Failure Modes

All defects route explicitly through the Terminal Route Map above.


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.experimental.gauge (XGauge) against its declared schema, boundary constraints, and witness obligations in this model.
    • Supports deterministic terminal routing (Preserve, Lift, Escalate, Unsupported) 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 at_rest, this contract enforces that gauge drift is either excluded under protected_skeleton_must_be_declared_before_transport 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.experimental.gauge.

7. Canonical YAML Contract (contracts/nf.experimental.gauge.yaml)

Click to expand full canonical YAML contract (contracts/nf.experimental.gauge.yaml)
schema_version: smplx.nf.contract.v0
contract_kind: normal_form_contract
identity:
  id: nf.experimental.gauge
  name: Gauge Experimental Extension
  short_name: XGauge
  version: v1
  status: draft
  family: experimental
  theory_status: experimental
  contract_status: draft
  verification_status: absent
classification:
  hierarchy_level: normal_form
  subject_kind:
  - data_under_gauge_or_higher_regime
  data_posture: at_rest
  mathematical_posture: operational
purpose:
  excludes_anomaly: gauge drift
  preserves_invariant: protected_skeleton_must_be_declared_before_transport
  protected_skeleton:
  - source_regime
  - target_regime
  - protected_skeleton
  - allowed_gauge_transformations
  - loss_ledger_policy
  erased_structure: []
  non_claims:
  - does not make quantum market legal or physical domain claims part of the core
    taxonomy
  - does not promote experimental data regimes to normal forms
declarations_required:
- source_regime
- target_regime
- protected_skeleton
- allowed_gauge_transformations
- loss_ledger_policy
evidence_required:
- transformation_trace
- preserved_skeleton_witness
- loss_ledger_when_distinctions_are_erased
validation_criteria:
- protected_skeleton_must_be_declared_before_transport
- erased_distinctions_require_loss_ledger
- experimental_claims_must_remain_quarantined
terminal_routes:
- Preserve
- Lift
- Escalate
- Unsupported
- ClosureFailure
- BudgetUnknown
- Quarantine
- Refuse
certification:
  certificate_required: true
  certificate_kind: experimental_gauge_certificate
  obstruction_class_required: false
  loss_ledger_required: false
  verifier_required: false
terminal_route_map:
  Preserve: Preserve
  Lift: Lift
  Escalate: Escalate
  Unsupported: Unsupported
  ClosureFailure: ClosureFailure
  BudgetUnknown: BudgetUnknown
  Quarantine: Quarantine
  Refuse: Refuse
authorization:
  authorized_by: null
  certified_implies_authorized: false
definition:
  source: coda_all_universe/mssn_sn_tower/definitions.md
  formal_statement: gauge drift. protected_skeleton_must_be_declared_before_transport
  quadrilateral:
    qualifies_as_true_normal_form: false
    qualification_gap: reconstruction_is_not_a_relational_project_join
    anomaly_exclusion: gauge drift
    lossless_join:
      status: declared_reconstruction
      statement: protected_skeleton_must_be_declared_before_transport
    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

🏛️ 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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