GRM × BASE-t Rebuild of the Source-Level Physical Dynamics Underlying Electromagnetic and Quantum Phenomena

 

GRM × BASE-t Rebuild of the Source-Level Physical Dynamics Underlying Electromagnetic and Quantum Phenomena

Table of Contents

Part I — Rebuild Contract

1.  Rebuild Target and Scope

1.1 Physical phenomena precede explanatory representation
1.2 Source dynamics versus mathematical description
1.3 Why successful prediction does not determine ontology
1.4 Why GRM does not explain QED as an object
1.5 Why GRM does not replace QM, QED, or the Standard Model
1.6 Phenomenon → source constraint → reconstruction → representation
1.7 Observable agreement as downstream validation
1.8 Source reconstruction as the primary task
1.9 Representation as a compression of source dynamics
1.10 The rebuild target
1.11 The minimum-source principle
1.12 The erasure-survival principle
1.13 Local success versus global source authority
1.14 Representation singularity versus source singularity
1.15 Completion and frontier criteria

2. What Counts as a Phenomenal Constraint

2.1 Repeatable physical consequence
2.2 Preparation class
2.3 Intervention
2.4 Outcome class
2.5 Persistence across representation change
2.6 Matched ablation
2.7 Causal discrimination
2.8 Boundary formation
2.9 Identity preservation
2.10 Response under changed probe conditions
2.11 Cross-domain recurrence
2.12 Negative evidence
2.13 Phenomenal invariant
2.14 Representation-dependent signature
2.15 Source-owned residue

---

Part II — GRM / BASE-t Reconstruction Method

3. Source–Representation Firewall

3.1 SOURCE ≠ OBJECT ≠ RELATION ≠ CARRIER ≠ REPRESENTATION ≠ READOUT
3.2 Source contact versus source access
3.3 Representation cannot construct source
3.4 Readout cannot construct source
3.5 Target cannot construct source
3.6 Mature theory vocabulary as downstream only
3.7 Target erasure
3.8 Representation erasure
3.9 Readout erasure
3.10 Gauge-choice erasure
3.11 Carrier mutation
3.12 Factorization mutation
3.13 Scale mutation
3.14 Regulator mutation
3.15 Source-survival criterion

4. GRM Causal Reconstruction

4.1 Freeze maximal valid prefix
4.2 Locate first unresolved physical obligation
4.3 Execute local failure
4.4 Compile failure signature
4.5 Extract minimal violated requirement
4.6 ΔREQ
4.7 Generate source-native candidate bodies
4.8 Whole-first reconstruction
4.9 Owner determination
4.10 Boundary determination
4.11 Native arity
4.12 COMMUTE
4.13 COUPLE
4.14 Causal hyperedges
4.15 ABLATE
4.16 CONSTRAINS
4.17 INTERACT
4.18 Replay
4.19 Residue preservation
4.20 Continue-until-finish execution

5. BASE-t Admissibility

5.1 SOURCE-LOCK
5.2 TYPE-WALL
5.3 NO-TARGET-LEAK
5.4 DUAL-ERASE
5.5 ANTI-ESCALATE
5.6 HIGHER-COHERENCE
5.7 EARLY-EXEC
5.8 DISCOVERY ≠ CERTIFICATION
5.9 REPLAY-CONTRACT
5.10 COST-DOMINANCE
5.11 BOUNDED-SUCCESSOR
5.12 REVERSIBLE-COMMIT
5.13 REPRESENTATION-STABILITY
5.14 OBSTRUCTION-MEMORY
5.15 NONCOMMUTATIVE-DEFAULT
5.16 FACTORIZATION-STABILITY
5.17 Hidden-infinite-resource prohibition

6. Wrong Carrier, Retyping, and Handoff

6.1 WRONG_CARRIER
6.2 Carrier-semantic consequence
6.3 Portable relation
6.4 Ownership obstruction
6.5 Unowned ambiguity
6.6 REVOKE
6.7 SALVAGE
6.8 New carrier formation
6.9 REBIND
6.10 Asymptotic carrier breakout
6.11 Scale-driven carrier failure
6.12 Resolution-driven owner handoff
6.13 Carrier failure does not erase evidence

---

Part III — Primary Source Formation

7. Distinction

7.1 Initially unpartitioned source
7.2 Distinction without prior geometry
7.3 Distinction without prior object
7.4 Distinction without prior relation
7.5 Distinction without prior clock
7.6 Distinction without prior probability
7.7 Distinction as earned consequence
7.8 Fracture as information
7.9 Relation formation
7.10 Consequential distinction

8. Recurrence

8.1 Reappearance without primitive time
8.2 Recurrence body
8.3 Recurrence ownership
8.4 Repeated transformation
8.5 Closure under recurrence
8.6 Recurrence residue
8.7 Local recurrence versus global continuation
8.8 Recurrence before identity

9. Persistence and Identity

9.1 Persistence under admissible transformation
9.2 Reidentification
9.3 Persistent closure
9.4 Identity ancestry
9.5 Identity residue
9.6 Address formation
9.7 Transported identity
9.8 Object readout
9.9 Object versus identity
9.10 Identity fracture
9.11 Composite identity
9.12 Owner handoff

---

Part IV — Phenomenal Domain I: Radiative Electromagnetic Phenomena

10. Radiation Phenomenology

10.1 Emission events
10.2 Absorption events
10.3 Directional propagation
10.4 Finite transfer
10.5 Frequency readout
10.6 Energy readout
10.7 Polarization phenomena
10.8 Interference of radiation
10.9 Radiative decay
10.10 Scattering of radiation
10.11 Boundary-localized emission
10.12 Boundary-localized absorption

11. Source Reconstruction of Radiation

11.1 Release from persistent closure
11.2 No retained internal recurrence during transport
11.3 Endpoint distinction
11.4 Null transport candidate
11.5 (N_{\rm rad})
11.6 Transport versus interaction
11.7 Radiative transport versus static constraint
11.8 Photon as downstream readout
11.9 Conditions for photon identity
11.10 Conditions for multiple-photon readout
11.11 Radiative source network

---

Part V — Phenomenal Domain II: Static and Near-Field Electromagnetism

12. Electrostatic Phenomena

12.1 Attraction
12.2 Repulsion
12.3 Bound charged systems
12.4 Static field response
12.5 Electrostatic energy differences
12.6 Screening
12.7 Shielding
12.8 Near-field response
12.9 Static polarization
12.10 Hydrogenic binding as a benchmark phenomenon

13. Non-Radiative Source Constraint

13.1 Why radiative transport alone is insufficient
13.2 Persistent charged closures
13.3 Relational electromagnetic constraint
13.4 (C_{\rm EM})
13.5 No emitted radiative object required
13.6 Constraint ownership
13.7 Constraint ablation
13.8 Static response preservation
13.9 Near-field versus far-field regime
13.10 Constraint versus transport
13.11 Constraint propagation versus instantaneous representation
13.12 Source body underlying Coulomb behavior

14. Time-Dependent Near Fields and Induction

14.1 Changing source configurations
14.2 Induction phenomena
14.3 Near-zone energy exchange
14.4 Mixed radiative/non-radiative response
14.5 Retarded causal structure
14.6 Local response lag
14.7 Constraint/radiation coupling
14.8 Transition from near field to radiation zone
14.9 Representation-independent regime distinction

---

Part VI — Phenomenal Domain III: Global Electromagnetic Phase Structure

15. Aharonov–Bohm-Type Phenomena

15.1 Interference shift without local field strength along the path
15.2 Multiply connected regions
15.3 Path-class dependence
15.4 Global phase sensitivity
15.5 Local-null / global-nontrivial distinction
15.6 Why local curvature is insufficient
15.7 Closed-path comparison
15.8 Phenomenal requirement for global transport memory

16. Source Holonomy

16.1 Path-sensitive relational transport
16.2 Closed-route composition
16.3 Holonomy candidate (H_{\rm EM})
16.4 Trivial versus nontrivial loop closure
16.5 Global relation without local interaction
16.6 Holonomy persistence under representation change
16.7 Gauge-choice independence
16.8 Connection as downstream representation
16.9 Global electromagnetic memory
16.10 Holonomy versus radiative transport
16.11 Holonomy versus static constraint

---

Part VII — Phenomenal Domain IV: Charge and Conjugation

17. Charge Phenomena

17.1 Stable interaction polarity
17.2 Attraction/repulsion classes
17.3 Additivity
17.4 Conservation
17.5 Charge transfer
17.6 Neutral composite systems
17.7 Charged composite systems
17.8 Antiparticle conjugation
17.9 Charge magnitude
17.10 Charge discreteness

18. Source Reconstruction of Charge

18.1 Persistent address
18.2 Oriented interaction relation
18.3 Reversal operation
18.4 Stable conjugate classes
18.5 Additive comparison carrier
18.6 Conserved readout
18.7 Charge as interaction-selection invariant
18.8 Charge does not own interaction
18.9 Polarity does not imply magnitude
18.10 Magnitude does not imply compactness
18.11 Universal unit as separate obligation

19. Compact Phase and Charge Quantization Frontier

19.1 Closed recurrent phase
19.2 Periodic closure
19.3 Compact versus noncompact phase carrier
19.4 (S^1)-type candidate
19.5 Holonomy and compactness
19.6 Integer charge lattice
19.7 Fractional charge problem
19.8 Cross-carrier compatibility
19.9 Global charge topology
19.10 Standard Model quotient as downstream liftback target
19.11 No import of quark charge values into source construction

20. Antiparticle Phenomena

20.1 Conjugate charge
20.2 Same mass class
20.3 Pair production
20.4 Pair annihilation
20.5 Threshold structure
20.6 Source occurrence versus representational possibility
20.7 Virtual pair representation
20.8 Actual pair boundary formation
20.9 Conjugate closure reconstruction

---

Part VIII — Phenomenal Domain V: Quantized Transitions

21. Discrete Transition Phenomena

21.1 Atomic transitions
21.2 Finite outcome changes
21.3 Spectral lines
21.4 Threshold transitions
21.5 Detector clicks
21.6 Transition irreducibility
21.7 Repeatable transition classes
21.8 Interaction-defined boundaries

22. Quantized Contact

22.1 Admissible reconfiguration path
22.2 Factorization test
22.3 Irreducible transition
22.4 QNT
22.5 Quantum event (Q)
22.6 Finite native boundary support
22.7 Same-event subdivision prohibition
22.8 New boundary requirement
22.9 Quantization versus transport
22.10 Quantization without primitive discreteness

---

Part IX — Phenomenal Domain VI: Interference and Multi-Path Phenomena

23. Interference Phenomena

23.1 Alternative paths
23.2 Common preparation
23.3 Common terminal registration
23.4 Path indistinguishability
23.5 Interference disappearance under path marking
23.6 Phase dependence
23.7 Multi-path composition
23.8 Single-particle interference
23.9 Multi-particle interference

24. Multi-Contact Quantum Network

24.1 QN
24.2 Alternative source ancestries
24.3 Distinguishing registration
24.4 Unresolved alternatives
24.5 Independent-branch reconstruction
24.6 Cross-branch residue
24.7 (\rho_Q)
24.8 Registration-induced residue change
24.9 Held-out replay
24.10 Quantum-composition event

25. Quantum Composition Algebra

25.1 Sequential composition
25.2 Alternative composition
25.3 Associativity
25.4 Distributivity
25.5 Noncommutativity
25.6 Reversible transformations
25.7 Composite systems
25.8 Minimum faithful algebra
25.9 Complex representation candidate
25.10 Operator representation candidate
25.11 QALG as downstream compression of source composition

---

Part X — Phenomenal Domain VII: Probability and Measurement

26. Statistical Phenomena

26.1 Repeatable preparation
26.2 Outcome frequencies
26.3 Exclusive outcomes
26.4 Conditional outcomes
26.5 Sequential measurements
26.6 Coarse graining
26.7 Stable ensemble statistics
26.8 Context dependence

27. Probability Reconstruction

27.1 Probability is not source primitive
27.2 Preparation equivalence
27.3 Trial individuation
27.4 Outcome class
27.5 Positive readout
27.6 Normalization
27.7 Additivity
27.8 Sequential consistency
27.9 Coarse-graining consistency
27.10 Born-type representation
27.11 BORN_EARNED versus BORN_UNEARNED

28. Measurement Phenomena

28.1 Analyzer interaction
28.2 Registration
28.3 Detector boundary
28.4 Outcome stabilization
28.5 Repeatability
28.6 Measurement disturbance
28.7 Measurement context
28.8 Source distinction before readout
28.9 Collapse as representation/readout operation
28.10 Measurement does not manufacture prior source ancestry

---

Part XI — Phenomenal Domain VIII: Spin, Exchange, and Bell Correlations

29. Spin Phenomena

29.1 Two-valued spin readouts
29.2 Rotation response
29.3 (4\pi)-type closure
29.4 Magnetic response
29.5 Spin correlations
29.6 Exchange behavior

30. Source Reconstruction of Spin

30.1 Earned rotation
30.2 Orientation-state preservation
30.3 Closed transformation family
30.4 Double-cover closure
30.5 Rotation-history residue
30.6 Spin-(\tfrac12) candidate
30.7 Spin versus carried substance
30.8 Exchange as separate reconstruction obligation

31. Bell-Type Phenomena

31.1 Joint preparation
31.2 Spatially separated registrations
31.3 Correlated outcomes
31.4 Analyzer-angle dependence
31.5 No-signalling marginals
31.6 CHSH violation
31.7 Common-rotation invariance
31.8 Source-composition requirement
31.9 Held-out-angle validation
31.10 Bell structure as test of QN/QALG reconstruction

---

Part XII — Phenomenal Domain IX: Matter Persistence and Mass

32. Persistent Matter Phenomena

32.1 Stable localized identity
32.2 Transport without identity loss
32.3 Internal transformation
32.4 Composite structure
32.5 Scattering without annihilation
32.6 Decay
32.7 Formation and destruction boundaries

33. Matter Closure

33.1 Retained addressable closure
33.2 INT(C)
33.3 Automorphism structure
33.4 Defect structure
33.5 Composition order
33.6 Multi-closure exchange
33.7 Internal persistent distinctions
33.8 Composite identity
33.9 Particle readout

34. Mass Phenomena

34.1 Inertial response
34.2 Energy–momentum readout
34.3 Reconfiguration resistance
34.4 Bound-state mass
34.5 Mass shifts
34.6 Same identity under varying interaction environment
34.7 Composite mass

35. Source Reconstruction of Mass

35.1 Mass is not substance
35.2 Persistent reconfiguration resistance
35.3 Transport resistance
35.4 Stable equivalence class
35.5 Mass readout
35.6 Internal response contribution
35.7 Source mass versus representation parameters
35.8 Bare mass as downstream coordinate

---

Part XIII — Phenomenal Domain X: Spectral and Threshold Response

36. Spectral Phenomena

36.1 Resonance
36.2 Absorption threshold
36.3 Pair-production threshold
36.4 Line broadening
36.5 Dispersive shift
36.6 Polarizability
36.7 Frequency-dependent response
36.8 Scale-dependent response

37. Source Spectral Response

37.1 Response channels
37.2 Threshold formation
37.3 Allowed outcome classes
37.4 Spectral support
37.5 Causal response
37.6 Dispersive relation
37.7 Absorptive relation
37.8 High-energy channels affecting low-energy response
37.9 Response class versus virtual-state ontology
37.10 Source-real spectral structure

38. Running Electromagnetic Response

38.1 Probe-scale dependence
38.2 Effective response
38.3 Threshold contributions
38.4 Dispersive accumulation
38.5 Low-energy response below production threshold
38.6 High-energy channel influence
38.7 Scale-dependent effective charge
38.8 Running as response phenomenon
38.9 Running is not literal source-charge evolution

---

Part XIV — Cross-Phenomenon Source Synthesis

39. Electromagnetic Source Composite

39.1 Quantized contact (Q)
39.2 Radiative null transport (N_{\rm rad})
39.3 Non-radiative constraint (C_{\rm EM})
39.4 Global holonomy (H_{\rm EM})
39.5 Spectral response (S_{\rm EM})
39.6 Charged persistent closure
39.7 Unified electromagnetic response body
39.8 Conditions for factorization
39.9 Conditions for inseparability
39.10 Cross-phenomenon replay

40. Common Conservation Structure

40.1 Charge conservation
40.2 Boundary consistency
40.3 Transport conservation
40.4 Constraint conservation
40.5 Holonomy consistency
40.6 Spectral consistency
40.7 Common interaction ancestry
40.8 Two-point and boundary-insertion responses as downstream projections
40.9 Conservation before representation factorization

41. Source Refinement

41.1 Resolution as an operation
41.2 New consequential distinction
41.3 New owner
41.4 New boundary
41.5 New carrier
41.6 Carrier handoff
41.7 Asymptotic carrier breakout
41.8 Refinement without new source distinction
41.9 REFINE_\Sigma
41.10 STOP_\Sigma
41.11 STOP_\Sigma as termination of source inference
41.12 No physical cutoff inferred

---

Part XV — Representation-History Quotient

42. Representation Histories

42.1 Alternative calculational decompositions
42.2 Gauge-dependent decompositions
42.3 Virtual histories
42.4 Perturbative histories
42.5 Operator decompositions
42.6 Carrier-dependent decompositions
42.7 Same source / different representation

43. Source Equivalence Quotient

43.1 Same source boundaries
43.2 Same owner
43.3 Same identity ancestry
43.4 Same consequential distinctions
43.5 Same causal fingerprint
43.6 Same conservation class
43.7 Same holonomy class
43.8 Same spectral class
43.9 Representation-history quotient
43.10 Quotient before source promotion
43.11 Quotient does not delete useful mathematics

44. Unlimited Representation Refinement

44.1 (k\to\infty)
44.2 (Q^2\to\infty)
44.3 (x\to0)
44.4 Continuum resolution
44.5 Short-distance operator products
44.6 Infinite perturbative depth
44.7 (R_\infty)
44.8 Mathematical legality
44.9 Lack of automatic source authority
44.10 Representation singularity versus source singularity

---

Part XVI — Downstream Quantum-Mechanical Representation

45. QM Liftback

45.1 State-space representation
45.2 Hilbert carrier
45.3 Inner product
45.4 Complex phase
45.5 Operators
45.6 Tensor composition
45.7 Unitary transformation
45.8 Hamiltonian
45.9 Born rule
45.10 Measurement representation
45.11 Entanglement representation
45.12 Bell-correlation representation
45.13 Exact versus observational liftback

---

Part XVII — Downstream Electromagnetic/QED Representation

46. Classical Electromagnetic Liftback

46.1 Electric field
46.2 Magnetic field
46.3 Scalar potential
46.4 Vector potential
46.5 Field tensor
46.6 Maxwell equations
46.7 Radiative solutions
46.8 Electrostatic solutions
46.9 Induction
46.10 Gauge connection
46.11 Holonomy
46.12 Coulomb and radiative decomposition

47. QED Liftback

47.1 Charged matter field
47.2 Photon field
47.3 Gauge coupling
47.4 Propagator
47.5 Interaction vertex
47.6 Internal lines
47.7 Virtual sectors
47.8 Loop expansion
47.9 Self-energy
47.10 Vacuum polarization
47.11 Vertex correction
47.12 Gauge-linked diagram classes
47.13 QED as downstream calculator
47.14 No automatic promotion of QED internals to source ontology

48. Ward–Takahashi Liftback

48.1 Common source conservation ancestry
48.2 Two-point response
48.3 Boundary insertion
48.4 Three-point response
48.5 Gauge representation
48.6 Ward–Takahashi identity
48.7 (Z_1=Z_2)
48.8 Factorization-stable preservation
48.9 Why self-energy and vertex structures cannot be source-audited independently

---

Part XVIII — Downstream Standard Model Representation

49. Matter-Sector Liftback

49.1 Fermionic matter classes
49.2 Flavor
49.3 Chirality
49.4 Color
49.5 Weak interaction
49.6 Strong interaction
49.7 Hadronic composites
49.8 Gauge-group representations
49.9 Source precursor versus SM classification

50. Global Charge Structure

50.1 Compact (U(1)) representation
50.2 (SU(2)_L) representation
50.3 (SU(3)_c) representation
50.4 Hypercharge
50.5 Color triality
50.6 Fractional charge
50.7 Global quotient structure
50.8 ((SU(3)\times SU(2)\times U(1))/\mathbb Z_6)
50.9 Source precursor requirements
50.10 No target-to-source backflow

---

Part XIX — Renormalization as Representation Audit

51. Why Renormalization Appears

51.1 Continuum local products
51.2 Coincident-point singularity
51.3 Short-distance refinement
51.4 Perturbative expansion
51.5 Composite-operator singularity
51.6 Gauge-linked divergences
51.7 Regulators
51.8 Bare/renormalized splits
51.9 Counterterms
51.10 Renormalization conditions
51.11 Renormalization group
51.12 Representation consistency under (R_\infty)

52. Electron Self-Response Audit

52.1 Persistent charged closure
52.2 Measurable interaction-dependent response
52.3 QED self-energy representation
52.4 Internal photon representation
52.5 Nested representation histories
52.6 Gauge-linked vertex structure
52.7 Mass renormalization
52.8 Field normalization
52.9 Source survivor
52.10 Representation scaffold

53. Vacuum-Polarization Audit

53.1 Scale-dependent response phenomenon
53.2 Real pair threshold
53.3 Spectral support
53.4 Dispersive response
53.5 QED loop representation
53.6 (Z_3)
53.7 Running coupling
53.8 Beta function
53.9 Response-class survivor
53.10 Virtual-pair ontology rejected unless independently source-earned

54. Vertex and Conservation Audit

54.1 Interaction-boundary response
54.2 QED vertex correction
54.3 Common conservation ancestry
54.4 Ward-linked representation
54.5 (Z_1)
54.6 (Z_2)
54.7 Joint erasure court
54.8 Conservation class survives representation change

55. Nested and Overlapping Divergence Audit

55.1 Nested self-response
55.2 Vacuum-polarization insertion
55.3 Vertex insertion
55.4 Overlapping divergence
55.5 Diagram recursion
55.6 Operator recursion
55.7 Representation depth
55.8 Source depth
55.9 (R_\infty) source-authority test

---

Part XX — Composite-Matter Electromagnetic Phenomena

56. Proton Electromagnetic Response

56.1 Elastic scattering
56.2 Form factors
56.3 Inelastic scattering
56.4 Resonances
56.5 Polarizability
56.6 Internal electromagnetic structure
56.7 Resolution-dependent response
56.8 Carrier handoff
56.9 Composite closure versus point-particle representation

57. Cottingham Phenomenon

57.1 Electromagnetic mass contribution
57.2 Forward Compton response
57.3 Elastic sector
57.4 Inelastic sector
57.5 Subtraction sector
57.6 High-resolution response
57.7 Current-current product
57.8 Short-distance operator representation
57.9 Cross-sector operator mixing
57.10 Renormalization requirement

58. Cottingham Source Audit

58.1 Phenomenal mass shift
58.2 Hadronic response
58.3 Quark/gluon representation handoff
58.4 OPE as downstream representation
58.5 Gluonic operator contribution
58.6 QED × QCD mixing
58.7 Counterterm as representation-consistency structure
58.8 Why compositeness does not eliminate UV refinement
58.9 Why path quotient alone is insufficient
58.10 Why (R_\infty) remains representation-level
58.11 What survives source erasure

---

Part XXI — Validation Against Phenomena

59. Electromagnetic Validation

59.1 Coulomb attraction
59.2 Hydrogen binding
59.3 Radiation
59.4 Induction
59.5 Aharonov–Bohm phase shift
59.6 Polarization
59.7 Scattering
59.8 Pair-production threshold
59.9 Vacuum-polarization running
59.10 Bound-state shifts
59.11 Proton electromagnetic structure

60. Quantum Validation

60.1 Single-particle interference
60.2 Multi-path interference
60.3 Discrete transitions
60.4 Spin-(\tfrac12) response
60.5 Exchange phenomena
60.6 Entangled correlations
60.7 Bell violation
60.8 Measurement statistics
60.9 Sequential measurements
60.10 Composite-system correlations

61. Cross-Representation Validation

61.1 Gauge mutation
61.2 Coulomb versus covariant gauge
61.3 Regulator mutation
61.4 Renormalization-scheme mutation
61.5 Factorization mutation
61.6 Carrier mutation
61.7 Scale mutation
61.8 Same phenomenal fingerprint
61.9 Source reconstruction after mutation

---

Part XXII — Final Source Architecture

62. Minimal Electromagnetic Source Body

62.1 Persistent charged closure
62.2 Quantized interaction (Q)
62.3 Radiative transport (N_{\rm rad})
62.4 Non-radiative constraint (C_{\rm EM})
62.5 Global holonomy (H_{\rm EM})
62.6 Spectral response (S_{\rm EM})
62.7 Common conservation body
62.8 Earned refinement
62.9 Carrier handoff
62.10 Unified source network

63. Minimal Quantum Source Body

63.1 Irreducible transition
63.2 Alternative ancestry
63.3 Multi-contact composition
63.4 Nonclassical residue
63.5 Registration
63.6 Composition algebra
63.7 Probability readout
63.8 Spin/rotation closure
63.9 Composite identity
63.10 Quantum source network

64. Unified Phenomenal Dependency Chain

64.1 Distinction
64.2 Recurrence
64.3 Persistence
64.4 Identity
64.5 Address
64.6 Charge
64.7 Contact
64.8 Constraint
64.9 Transport
64.10 Holonomy
64.11 Composition
64.12 Spectral response
64.13 Matter closure
64.14 Refinement
64.15 Representation
64.16 Observable

---

Part XXIII — Final Representation Map

65. Phenomenon → Source Body → Representation

65.1 Radiation → (N_{\rm rad}) → photon/field representation
65.2 Coulomb binding → (C_{\rm EM}) → scalar/Coulomb sector
65.3 Aharonov–Bohm → (H_{\rm EM}) → gauge connection/holonomy
65.4 Discrete transition → (Q) → quantum operator transition
65.5 Interference → QN/(\rho_Q) → Hilbert amplitudes
65.6 Bell correlation → joint QN → entangled-state representation
65.7 Spin → rotational closure → spinor representation
65.8 Running response → spectral body → vacuum polarization/RG
65.9 Mass shift → retained closure response → self-energy representation
65.10 Composite EM response → owner handoff → hadronic/OPE representation

66. Status of Familiar QED Constructs

66.1 Photon
66.2 Virtual photon
66.3 Coulomb sector
66.4 Gauge potential
66.5 Field tensor
66.6 Propagator
66.7 Self-energy
66.8 Vacuum polarization
66.9 Vertex correction
66.10 Virtual pair
66.11 Bare mass
66.12 Bare charge
66.13 Counterterm
66.14 (Z_1,Z_2,Z_3)
66.15 Renormalization scale
66.16 Beta function
66.17 OPE coefficient
66.18 Wilson coefficient
66.19 Landau pole
66.20 Source survivor / relational survivor / representation scaffold

---

Part XXIV — Terminal Court

67. Completion Tests

67.1 Every load-bearing phenomenal class reconstructed
67.2 No target-generated primitive
67.3 No representation-generated source body
67.4 Owner completeness
67.5 Boundary completeness
67.6 Conservation completeness
67.7 Static-response completeness
67.8 Radiative completeness
67.9 Holonomy completeness
67.10 Spectral-response completeness
67.11 Quantum-composition completeness
67.12 Representation-stability replay
67.13 Factorization-stability replay
67.14 Carrier-mutation replay
67.15 Gauge-mutation replay
67.16 Scale-mutation replay

68. Terminal States

68.1 DISCOVERY_ENDPOINT
68.2 FRONTIER_PAYLOAD
68.3 NEW_PRIMITIVE_CANDIDATE
68.4 ZOMBIE
68.5 HALT
68.6 Architectural closure versus sector-validation debt
68.7 Local closure versus global closure
68.8 Exact liftback versus observational liftback

---

Appendices

Appendix A — GRM Formal Operators

A.1 SOURCE_REALIZABLE
A.2 PERSIST
A.3 CLOSE
A.4 CONSTRAINS
A.5 INTERACT
A.6 ABLATE
A.7 OWNER
A.8 COMMUTE
A.9 COUPLE
A.10 WRONG_CARRIER
A.11 REVOKE
A.12 SALVAGE
A.13 REBIND
A.14 REFINE_\Sigma
A.15 STOP_\Sigma

Appendix B — Phenomenal Constraint Ledger

B.1 Radiation
B.2 Electrostatics
B.3 Induction
B.4 Aharonov–Bohm
B.5 Charge
B.6 Discrete transition
B.7 Interference
B.8 Spin
B.9 Bell
B.10 Spectral threshold
B.11 Running response
B.12 Mass shift
B.13 Composite electromagnetic response

Appendix C — Source-Body Ledger

C.1 Distinction
C.2 Recurrence
C.3 Persistence
C.4 Identity
C.5 Address
C.6 (Q)
C.7 (N_{\rm rad})
C.8 (C_{\rm EM})
C.9 (H_{\rm EM})
C.10 (S_{\rm EM})
C.11 QN
C.12 (\rho_Q)
C.13 INT
C.14 common conservation body

Appendix D — Representation-Erasure Ledger

D.1 Gauge choice
D.2 Virtual histories
D.3 Propagator factorization
D.4 Loop order
D.5 Regulator
D.6 Renormalization scheme
D.7 OPE basis
D.8 Carrier representation
D.9 Scale parameterization
D.10 Surviving source distinctions

Appendix E — Phenomenon-to-QM/QED/SM Liftback Matrix

E.1 Phenomenon
E.2 Source body
E.3 QM representation
E.4 electromagnetic/QED representation
E.5 SM representation
E.6 Exact liftback
E.7 Partial liftback
E.8 Unresolved frontier

Appendix F — Renormalization Audit Ledger

F.1 Self-energy
F.2 Vacuum polarization
F.3 Vertex correction
F.4 Ward-linked class
F.5 Counterterms
F.6 Running coupling
F.7 Composite operators
F.8 OPE
F.9 Cottingham
F.10 (R_\infty)

Appendix G — Active Frontiers

G.1 Compact phase formation
G.2 Fractional-charge precursor
G.3 Strong-interaction source body
G.4 Weak-interaction source body
G.5 Statistics/exclusion
G.6 Full QALG characterization
G.7 Born liftback
G.8 Matter internal structure
G.9 Global source topology
G.10 Exact cross-sector liftback