Charge Boundary Routing I
Phase 3 — Closure-Preserving Transitions
PHASE3_TRANSITIONS_chamber_comparison_report.txt

Generated: 2026-06-15

Purpose
-------
This report compares STRUC-PERC-I and STRUC-I results for the Phase 3
transition seed corpus.

Phase 3 moves the project from static boundary classification and bridge
geometry into dynamic closure-preserving transitions.

Central question:

    Do allowed particle transitions preserve the charge-boundary invariant
    while routing identity between different structural regimes?

Canonical Phase 3 interpretation:

    Charge conservation is the visible projection.
    Boundary-route preservation is the structural invariant.

Input Corpus
------------
Canonical source:

    data/canonical/phase3_closure_preserving_transitions.csv

Seed transition count:

    7

Seed transitions:

    T001 — neutron_beta_decay
           n -> p + e- + anti_nu_e

    T002 — positive_pion_muonic_decay
           pi+ -> mu+ + nu_mu

    T003 — negative_muon_decay
           mu- -> e- + anti_nu_e + nu_mu

    T004 — w_minus_leptonic_decay
           W- -> e- + anti_nu_e

    T005 — w_plus_leptonic_decay
           W+ -> e+ + nu_e

    T006 — neutral_pion_two_photon_decay
           pi0 -> gamma + gamma

    T007 — positive_kaon_muonic_decay
           K+ -> mu+ + nu_mu

Chamber Inputs
--------------
The two constant diagnostic encodings were intentionally excluded from the
first chamber run:

    charge_balance_error
    boundary_preservation_code

Reason:

    The Phase 3 seed contains allowed charge-conserving transitions only.
    Therefore charge_balance_error = 0 and boundary_preservation_code = 1
    across all seed rows.

The following 10 non-constant one-column ladders were tested:

    phase3_transition_ladder_charged_multiplicity_delta.csv
    phase3_transition_ladder_closure_transition_code.csv
    phase3_transition_ladder_composite_count_delta.csv
    phase3_transition_ladder_externalization_delta.csv
    phase3_transition_ladder_final_total_charge.csv
    phase3_transition_ladder_initial_total_charge.csv
    phase3_transition_ladder_layer_transition_code.csv
    phase3_transition_ladder_neutral_multiplicity_delta.csv
    phase3_transition_ladder_route_transition_code.csv
    phase3_transition_ladder_transition_class_code.csv

Source Result Files
-------------------
STRUC-PERC-I:

    results/struc_perc_i/phase3_transitions/
        PHASE3_TRANSITIONS_STRUC_PERC_I_v2_5_0_batch_results.csv
        PHASE3_TRANSITIONS_STRUC_PERC_I_v2_5_0_batch_results.json

STRUC-I:

    results/struc_i/phase3_transitions/
        PHASE3_TRANSITIONS_STRUC_I_v1_0_4_profiles_part1.csv
        PHASE3_TRANSITIONS_STRUC_I_v1_0_4_results_part1.json
        PHASE3_TRANSITIONS_STRUC_I_v1_0_4_profiles_part2.csv
        PHASE3_TRANSITIONS_STRUC_I_v1_0_4_results_part2.json

Note:
    STRUC-I was exported in two batches. This report combines both batches
    into one Phase 3 interpretation.

Executive Result
----------------
STRUC-PERC-I result:

    9 encodings -> FULL_PERCOLATION
    1 encoding  -> HARD_FRAGMENTATION

STRUC-I result:

    5 encodings -> Geometric Persistence / Weak Persistence
    5 encodings -> Structural Boundary / Transitional Structure

Compact result statement:

    Allowed transitions percolate broadly, but weak geometric persistence
    concentrates in route-transition, closure-transition, transition-class,
    and total-charge coordinates. Multiplicity and count-delta descriptions
    remain transitional.

Combined Result Table
---------------------

| Encoding | STRUC-PERC-I verdict | Giant ratio | Isolated | kappa_connect | Tail dominance | STRUC-I regime | STRUC-I state | mean Aκ | min Aκ | mean rho | max rho | Interpretation |
|---|---:|---:|---:|---:|---:|---|---|---:|---:|---:|---:|---|
| charged_multiplicity_delta | HARD_FRAGMENTATION | 0.857142857143 | 1 | null | 0.996966632963 | Structural Boundary | Transitional Structure | 0.917212 | 0.8865 | 0.835283 | 0.874833 | Only STRUC-PERC-I fragmentation channel. It remains transitional under STRUC-I. Charged-object count change is not the organizing invariant of the allowed transition corpus. |
| closure_transition_code | FULL_PERCOLATION | 1 | 0 | 0.01 | 0 | Geometric Persistence | Weak Persistence | 0.999925 | 0.998 | 0.48754 | 0.5165 | Full percolation and near-perfect weak persistence. This is one of the primary Phase 3 invariants. |
| composite_count_delta | FULL_PERCOLATION | 1 | 0 | 0.01 | 0 | Structural Boundary | Transitional Structure | 0.888275 | 0.8665 | 0.835842 | 0.873 | Full percolation but transitional under STRUC-I. Composite-count change connects graph-wise, but does not reach stable transition geometry. |
| externalization_delta | FULL_PERCOLATION | 1 | 0 | 0.01 | 0 | Structural Boundary | Transitional Structure | 0.881887 | 0.8555 | 0.836654 | 0.875667 | Full percolation but transitional under STRUC-I. Externalization is connected but remains a descriptive rather than invariant coordinate. |
| final_total_charge | FULL_PERCOLATION | 1 | 0 | 0.01 | 0 | Geometric Persistence | Weak Persistence | 0.956487 | 0.934 | 0.672496 | 0.755333 | Full percolation and weak persistence. Final total charge behaves as the visible conserved projection. |
| initial_total_charge | FULL_PERCOLATION | 1 | 0 | 0.01 | 0 | Geometric Persistence | Weak Persistence | 0.957512 | 0.9355 | 0.672479 | 0.76 | Full percolation and weak persistence. Initial total charge mirrors final charge, as expected for allowed transitions. |
| layer_transition_code | FULL_PERCOLATION | 1 | 0 | 0.01 | 0 | Structural Boundary | Transitional Structure | 0.929212 | 0.9055 | 0.720896 | 0.76425 | Full percolation but transitional under STRUC-I. Layer routing is connected, but too coarse to become the strongest invariant. |
| neutral_multiplicity_delta | FULL_PERCOLATION | 1 | 0 | 0.01 | 0 | Structural Boundary | Transitional Structure | 0.803987 | 0.757 | 0.956552 | 1.01725 | Full percolation but weakest STRUC-I profile among the selected non-constant encodings. Neutral-count change is not a stable transition invariant. |
| route_transition_code | FULL_PERCOLATION | 1 | 0 | 0.01 | 0 | Geometric Persistence | Weak Persistence | 0.999925 | 0.9975 | 0.487587 | 0.51475 | Full percolation and near-perfect weak persistence. This is the strongest evidence for boundary-route preservation. |
| transition_class_code | FULL_PERCOLATION | 1 | 0 | 0.01 | 0 | Geometric Persistence | Weak Persistence | 0.999888 | 0.9975 | 0.488521 | 0.51775 | Full percolation and near-perfect weak persistence. Transition classes form a stable dynamic taxonomy. |

STRUC-PERC-I Findings
---------------------
The transition corpus is graph-connected in 9 of 10 tested non-constant
encodings:

    closure_transition_code -> FULL_PERCOLATION
    composite_count_delta -> FULL_PERCOLATION
    externalization_delta -> FULL_PERCOLATION
    final_total_charge -> FULL_PERCOLATION
    initial_total_charge -> FULL_PERCOLATION
    layer_transition_code -> FULL_PERCOLATION
    neutral_multiplicity_delta -> FULL_PERCOLATION
    route_transition_code -> FULL_PERCOLATION
    transition_class_code -> FULL_PERCOLATION

The only fragmentation channel is:

    charged_multiplicity_delta -> HARD_FRAGMENTATION
        giant ratio = 0.857142857143
        isolated = 1
        isolated fraction = 0.142857142857
        tail dominance = 0.996966632963

Interpretation:
    The allowed transition corpus is not organized primarily by how many
    charged objects appear or disappear. charged_multiplicity_delta isolates
    a structurally distinct transition form. By contrast, closure, route,
    layer, transition-class, total-charge, neutral-multiplicity, composite,
    and externalization coordinates all percolate.

STRUC-I Findings
----------------
STRUC-I separates the Phase 3 encodings into two groups.

Weak-persistent dynamic invariants:

    closure_transition_code
        mean Aκ = 0.999925
        min Aκ  = 0.998
        mean rho = 0.48754
        max rho  = 0.5165
    final_total_charge
        mean Aκ = 0.956487
        min Aκ  = 0.934
        mean rho = 0.672496
        max rho  = 0.755333
    initial_total_charge
        mean Aκ = 0.957512
        min Aκ  = 0.9355
        mean rho = 0.672479
        max rho  = 0.76
    route_transition_code
        mean Aκ = 0.999925
        min Aκ  = 0.9975
        mean rho = 0.487587
        max rho  = 0.51475
    transition_class_code
        mean Aκ = 0.999888
        min Aκ  = 0.9975
        mean rho = 0.488521
        max rho  = 0.51775

Transitional descriptive coordinates:

    charged_multiplicity_delta
        mean Aκ = 0.917212
        min Aκ  = 0.8865
        mean rho = 0.835283
        max rho  = 0.874833
    composite_count_delta
        mean Aκ = 0.888275
        min Aκ  = 0.8665
        mean rho = 0.835842
        max rho  = 0.873
    externalization_delta
        mean Aκ = 0.881887
        min Aκ  = 0.8555
        mean rho = 0.836654
        max rho  = 0.875667
    layer_transition_code
        mean Aκ = 0.929212
        min Aκ  = 0.9055
        mean rho = 0.720896
        max rho  = 0.76425
    neutral_multiplicity_delta
        mean Aκ = 0.803987
        min Aκ  = 0.757
        mean rho = 0.956552
        max rho  = 1.01725

Strongest STRUC-I encoding:

    closure_transition_code
    mean Aκ = 0.999925
    min Aκ  = 0.998
    mean rho = 0.48754
    max rho  = 0.5165

Weakest STRUC-I encoding:

    neutral_multiplicity_delta
    mean Aκ = 0.803987
    min Aκ  = 0.757
    mean rho = 0.956552
    max rho  = 1.01725

Interpretation:
    The strongest Phase 3 STRUC-I signatures are not multiplicity counts.
    They are route_transition_code, closure_transition_code, and
    transition_class_code. This is the expected dynamic analogue of the
    Phase 2 bridge result: route and closure structure matter more than raw
    object-count changes.

Primary Phase 3 Finding
-----------------------
Key finding:

    Allowed transitions become weakly persistent in route-transition,
    closure-transition, transition-class, and total-charge coordinates.

More formal:

    The Phase 3 transition corpus shows weak geometric persistence in
    route_transition_code, closure_transition_code, transition_class_code,
    initial_total_charge, and final_total_charge. This supports the
    interpretation that allowed particle transitions preserve a charge-
    boundary invariant while routing identity through distinct structural
    transition classes.

Relation to Phase 1
-------------------
Phase 1 established the static charge-boundary layers:

    A = primitive external closures
    B = confined fractional coordinates
    C = composite closures
    D = boundary absences / constraints

Phase 3 now uses these static distinctions dynamically. Transitions are not
only evaluated by total charge. They are evaluated by how they route from
one layer / route / closure configuration into another.

Relation to Phase 2
-------------------
Phase 2 showed:

    charge value does not determine structural route.
    bridge behavior differs across AB, BC, CD, ABC, and BCD.

Phase 3 now shows:

    allowed transitions preserve a dynamic route / closure structure.
    route_transition_code and closure_transition_code are weakly persistent.

This is the dynamic continuation of the Phase 2 result.

The Phase 2 bridge map was:

    AB  = magnitude-stable boundary interface
    BC  = route-connected fractional-to-composite bridge
    CD  = fragmentation boundary with stable boundary-state identity
    ABC = composite-mediated pre-boundary route
    BCD = terminal boundary extension of BC

Phase 3 adds:

    allowed reactions do not merely conserve charge.
    they preserve a weakly persistent route / closure transition structure.

Why charged_multiplicity_delta fragments
----------------------------------------
charged_multiplicity_delta is the only STRUC-PERC-I hard-fragmentation channel.

This matters because it shows that dynamic admissibility is not simply
counting charged products. For example, different allowed transitions may
increase, decrease, or preserve the number of charged objects while still
preserving the deeper charge-boundary structure.

Therefore:

    charged-object count is descriptive.
    route / closure transition class is structural.

Why total charge persists
-------------------------
initial_total_charge and final_total_charge both reach Geometric Persistence /
Weak Persistence.

This is expected because the corpus is made of allowed charge-conserving
transitions. However, total charge is not the whole result. The decisive
additional observation is that route_transition_code and closure_transition_code
also reach near-perfect weak persistence.

Thus the Phase 3 result is not merely:

    charge is conserved.

It is:

    charge conservation is accompanied by stable route / closure transition
    geometry.

UNNS Interpretation
-------------------
In the UNNS Substrate interpretation, Phase 3 provides the first dynamic
charge-boundary result.

The chamber result supports:

    charge conservation is the visible projection;
    boundary-route preservation is the structural invariant.

The allowed transition seed corpus percolates in almost every selected
non-constant coordinate, but weak persistence concentrates in the coordinates
that encode transition identity: route transition, closure transition, and
transition class.

This is exactly the intended transition from a static theory of boundary
classification into a dynamic theory of admissible transformation.

Supported Claims
----------------
Supported by this Phase 3 chamber test:

1. The selected allowed-transition seed corpus percolates in 9 of 10
   non-constant STRUC-PERC-I encodings.
2. charged_multiplicity_delta is the only STRUC-PERC-I hard-fragmentation
   encoding.
3. route_transition_code reaches Geometric Persistence / Weak Persistence
   under STRUC-I.
4. closure_transition_code reaches Geometric Persistence / Weak Persistence
   under STRUC-I.
5. transition_class_code reaches Geometric Persistence / Weak Persistence
   under STRUC-I.
6. initial_total_charge and final_total_charge reach Geometric Persistence /
   Weak Persistence.
7. Multiplicity and count-delta coordinates mostly remain Structural Boundary /
   Transitional Structure.
8. The dynamic transition structure is better captured by route / closure
   encodings than by charged-object count alone.

Not Claimed
-----------
This result does not yet claim:

1. A complete particle-decay database.
2. A derivation of charge quantization.
3. A proof of confinement.
4. That the seven-transition seed is statistically exhaustive.
5. That categorical code values are physical magnitudes.
6. That charge conservation alone explains the chamber result.

Operational Consequence
-----------------------
Phase 3 is now validated as a dynamic extension of the charge-boundary program.

Keep the following encodings as primary Phase 3 invariants:

    route_transition_code
    closure_transition_code
    transition_class_code
    initial_total_charge
    final_total_charge

Keep the following as descriptive / transitional coordinates:

    charged_multiplicity_delta
    neutral_multiplicity_delta
    composite_count_delta
    externalization_delta
    layer_transition_code

Next Work
---------
Recommended next step:

    Produce Phase 3 synthesis note or expand the Phase 3 corpus with a second
    controlled transition batch.

Recommended expansion categories:

    additional charged meson decays
    additional neutral meson decays
    baryon decays
    W / Z mediated channels
    forbidden or constrained comparison transitions

Reserved control:

    Phase 2C — Same-Charge Different-Route Control
    objects: positron, proton, pi+, K+, W+

File Placement
--------------
Save this report as:

    charge_boundary_routing_i/
    └── outputs/
        └── reports/
            └── phase3_transitions/
                └── PHASE3_TRANSITIONS_chamber_comparison_report.txt

Supporting result files:

    results/struc_perc_i/phase3_transitions/
        PHASE3_TRANSITIONS_STRUC_PERC_I_v2_5_0_batch_results.csv
        PHASE3_TRANSITIONS_STRUC_PERC_I_v2_5_0_batch_results.json

    results/struc_i/phase3_transitions/
        PHASE3_TRANSITIONS_STRUC_I_v1_0_4_profiles_part1.csv
        PHASE3_TRANSITIONS_STRUC_I_v1_0_4_results_part1.json
        PHASE3_TRANSITIONS_STRUC_I_v1_0_4_profiles_part2.csv
        PHASE3_TRANSITIONS_STRUC_I_v1_0_4_results_part2.json
