Charge Boundary Routing I
Phase 3B — Expanded Allowed Transition Corpus
PHASE3B_EXPANDED_chamber_comparison_report.txt

Generated: 2026-06-15

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

Phase 3B expanded the Phase 3 seed from 7 allowed transitions to a controlled
38-transition corpus. The purpose was to test whether the Phase 3 seed result
was robust or merely seed-specific.

Phase 3B question:

    Do route_transition_code and closure_transition_code remain persistent
    when the allowed-transition corpus grows beyond the 7-transition seed?

Executive Answer
----------------
Yes.

The expanded corpus remains fully percolating in STRUC-PERC-I across all
tested non-constant encodings, and STRUC-I preserves geometric persistence in
the core structural transition coordinates:

    route_transition_code
    closure_transition_code
    category_transition_code
    transition_class_code
    transition_family_code
    layer_transition_code

This shows that the Phase 3 seed result did not collapse under expansion.

Corpus
------
Canonical Phase 3B corpus:

    data/canonical/phase3B_expanded_allowed_transition_corpus.csv

Corpus size:

    38 allowed transitions

Corpus composition:

    7 original Phase 3 seed-continuity transitions
    31 new expanded allowed transitions

Expansion families:

    charged_meson_decay
    neutral_meson_decay
    baryon_decay
    baryon_resonance_decay
    w_z_mediated_channel
    radiative_decay

Skipped Constant Encodings
--------------------------
The following Phase 3B encodings were not included in the first chamber
comparison because they are constant or invariant in the allowed-transition
corpus:

    charge_balance_error
    boundary_preservation_code
    initial_multiplicity

Reason:

    charge_balance_error = 0 because all rows conserve charge.
    boundary_preservation_code = 1 because all rows are allowed.
    initial_multiplicity = 1 because each transition is encoded as one
    initial object transforming into final products.

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

    results/struc_perc_i/phase3B_expanded_transitions/
        PHASE3B_EXPANDED_STRUC_PERC_I_v2_5_0_batch_results.csv
        PHASE3B_EXPANDED_STRUC_PERC_I_v2_5_0_batch_results.json

STRUC-I sources:

    results/struc_i/phase3B_expanded_transitions/
        PHASE3B_EXPANDED_STRUC_I_v1_0_4_results_part1.json
        PHASE3B_EXPANDED_STRUC_I_v1_0_4_profiles_part1.csv
        PHASE3B_EXPANDED_STRUC_I_v1_0_4_results_part2.json
        PHASE3B_EXPANDED_STRUC_I_v1_0_4_profiles_part2.csv
        PHASE3B_EXPANDED_STRUC_I_v1_0_4_results_part3.json
        PHASE3B_EXPANDED_STRUC_I_v1_0_4_profiles_part3.csv
        PHASE3B_EXPANDED_STRUC_I_v1_0_4_results_part4.json
        PHASE3B_EXPANDED_STRUC_I_v1_0_4_profiles_part4.csv

Note:

    STRUC-I was exported in multiple parts. This report combines the uploaded
    STRUC-I batches into one Phase 3B interpretation.

STRUC-PERC-I Summary
--------------------
Tested encodings included in this comparison: 20

    20 encodings -> FULL_PERCOLATION
    0 encodings -> HARD_FRAGMENTATION

Every tested Phase 3B encoding reached FULL_PERCOLATION in STRUC-PERC-I.

This is stronger than the 7-transition Phase 3 seed result, where
charged_multiplicity_delta fragmented. In Phase 3B, charged_multiplicity_delta
also percolates.

STRUC-I Summary
---------------
    6 encodings -> Geometric Persistence
    14 encodings -> Structural Boundary / Transitional Structure

Geometric Persistence encodings:

    route_transition_code -> Boundary-Stabilized ; mean Aκ=0.9851, min Aκ=0.9765, mean rho=0.768218
    closure_transition_code -> Boundary-Stabilized ; mean Aκ=0.98385, min Aκ=0.9735, mean rho=0.768576
    category_transition_code -> Boundary-Stabilized ; mean Aκ=0.977625, min Aκ=0.9645, mean rho=0.81447
    transition_class_code -> Boundary-Stabilized ; mean Aκ=0.977463, min Aκ=0.9675, mean rho=0.814908
    transition_family_code -> Weak Persistence ; mean Aκ=0.9673, min Aκ=0.9585, mean rho=0.830305
    layer_transition_code -> Weak Persistence ; mean Aκ=0.953737, min Aκ=0.9355, mean rho=0.857184

Structural Boundary encodings:

    final_total_charge -> Transitional Structure ; mean Aκ=0.811837, min Aκ=0.7695, mean rho=0.93879
    charged_multiplicity_delta -> Transitional Structure ; mean Aκ=0.736212, min Aκ=0.696, mean rho=0.965447
    neutral_multiplicity_delta -> Transitional Structure ; mean Aκ=0.812175, min Aκ=0.781, mean rho=0.938281
    externalization_delta -> Transitional Structure ; mean Aκ=0.860463, min Aκ=0.836, mean rho=0.922487
    composite_count_delta -> Transitional Structure ; mean Aκ=0.909825, min Aκ=0.8835, mean rho=0.895822
    final_multiplicity -> Transitional Structure ; mean Aκ=0.796712, min Aκ=0.769, mean rho=0.947324
    charged_initial_count -> Transitional Structure ; mean Aκ=0.796963, min Aκ=0.7735, mean rho=0.947505
    charged_final_count -> Transitional Structure ; mean Aκ=0.729488, min Aκ=0.692, mean rho=0.965619
    neutral_initial_count -> Transitional Structure ; mean Aκ=0.79605, min Aκ=0.771, mean rho=0.947972
    neutral_final_count -> Transitional Structure ; mean Aκ=0.729937, min Aκ=0.6875, mean rho=0.965079
    composite_initial_count -> Transitional Structure ; mean Aκ=0.637175, min Aκ=0.5835, mean rho=0.992068
    composite_final_count -> Transitional Structure ; mean Aκ=0.808588, min Aκ=0.776, mean rho=0.938124
    external_initial_count -> Transitional Structure ; mean Aκ=0.635075, min Aκ=0.594, mean rho=0.992445
    external_final_count -> Transitional Structure ; mean Aκ=0.8116, min Aκ=0.772, mean rho=0.938547

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

| Encoding | STRUC-PERC-I verdict | Giant ratio | kappa_connect | n(PERC) | STRUC-I regime | STRUC-I state | mean Aκ | min Aκ | mean rho | max rho |
|---|---:|---:|---:|---:|---|---|---:|---:|---:|---:|
| route_transition_code | FULL_PERCOLATION | 1 | 0.01 | 13 | Geometric Persistence | Boundary-Stabilized | 0.9851 | 0.9765 | 0.768218 | 0.784906 |
| closure_transition_code | FULL_PERCOLATION | 1 | 0.01 | 13 | Geometric Persistence | Boundary-Stabilized | 0.98385 | 0.9735 | 0.768576 | 0.788563 |
| category_transition_code | FULL_PERCOLATION | 1 | 0.01 | 10 | Geometric Persistence | Boundary-Stabilized | 0.977625 | 0.9645 | 0.81447 | 0.828853 |
| transition_class_code | FULL_PERCOLATION | 1 | 0.01 | 10 | Geometric Persistence | Boundary-Stabilized | 0.977463 | 0.9675 | 0.814908 | 0.828 |
| transition_family_code | FULL_PERCOLATION | 1 | 0.01 | 8 | Geometric Persistence | Weak Persistence | 0.9673 | 0.9585 | 0.830305 | 0.839722 |
| layer_transition_code | FULL_PERCOLATION | 1 | 0.01 | 7 | Geometric Persistence | Weak Persistence | 0.953737 | 0.9355 | 0.857184 | 0.866 |
| final_total_charge | FULL_PERCOLATION | 1 | 0.01 | 3 | Structural Boundary | Transitional Structure | 0.811837 | 0.7695 | 0.93879 | 0.949694 |
| charged_multiplicity_delta | FULL_PERCOLATION | 1 | 0.01 | 2 | Structural Boundary | Transitional Structure | 0.736212 | 0.696 | 0.965447 | 0.977194 |
| neutral_multiplicity_delta | FULL_PERCOLATION | 1 | 0.01 | 3 | Structural Boundary | Transitional Structure | 0.812175 | 0.781 | 0.938281 | 0.950083 |
| externalization_delta | FULL_PERCOLATION | 1 | 0.01 | 2 | Structural Boundary | Transitional Structure | 0.860463 | 0.836 | 0.922487 | 0.935974 |
| composite_count_delta | FULL_PERCOLATION | 1 | 0.01 | 3 | Structural Boundary | Transitional Structure | 0.909825 | 0.8835 | 0.895822 | 0.912026 |
| final_multiplicity | FULL_PERCOLATION | 1 | 0.749894209332 | 2 | Structural Boundary | Transitional Structure | 0.796712 | 0.769 | 0.947324 | 0.954342 |
| charged_initial_count | FULL_PERCOLATION | 1 | 0.01 | 2 | Structural Boundary | Transitional Structure | 0.796963 | 0.7735 | 0.947505 | 0.953868 |
| charged_final_count | FULL_PERCOLATION | 1 | 0.01 | 2 | Structural Boundary | Transitional Structure | 0.729488 | 0.692 | 0.965619 | 0.976889 |
| neutral_initial_count | FULL_PERCOLATION | 1 | 0.01 | 2 | Structural Boundary | Transitional Structure | 0.79605 | 0.771 | 0.947972 | 0.954368 |
| neutral_final_count | FULL_PERCOLATION | 1 | 0.01 | 2 | Structural Boundary | Transitional Structure | 0.729937 | 0.6875 | 0.965079 | 0.977556 |
| composite_initial_count | FULL_PERCOLATION | 1 | 0.01 | 3 | Structural Boundary | Transitional Structure | 0.637175 | 0.5835 | 0.992068 | 1.00475 |
| composite_final_count | FULL_PERCOLATION | 1 | 0.01 | 3 | Structural Boundary | Transitional Structure | 0.808588 | 0.776 | 0.938124 | 0.950667 |
| external_initial_count | FULL_PERCOLATION | 1 | 0.01 | 3 | Structural Boundary | Transitional Structure | 0.635075 | 0.594 | 0.992445 | 1.004389 |
| external_final_count | FULL_PERCOLATION | 1 | 0.01 | 3 | Structural Boundary | Transitional Structure | 0.8116 | 0.772 | 0.938547 | 0.951389 |

Core Robustness Result
----------------------
The two primary robustness targets both survived corpus expansion:

    route_transition_code
        STRUC-PERC-I verdict = FULL_PERCOLATION
        giantRatio = 1
        kappa_connect = 0.01
        STRUC-I regime = Geometric Persistence
        STRUC-I state = Boundary-Stabilized
        mean Aκ = 0.9851
        min Aκ  = 0.9765
        mean rho = 0.768218
        max rho  = 0.784906

    closure_transition_code
        STRUC-PERC-I verdict = FULL_PERCOLATION
        giantRatio = 1
        kappa_connect = 0.01
        STRUC-I regime = Geometric Persistence
        STRUC-I state = Boundary-Stabilized
        mean Aκ = 0.98385
        min Aκ  = 0.9735
        mean rho = 0.768576
        max rho  = 0.788563

Interpretation:

    Route-transition and closure-transition geometry remain structurally
    persistent after expansion from 7 to 38 allowed transitions.

This is the main Phase 3B robustness result.

Additional Persistent Structural Coordinates
--------------------------------------------
Beyond route and closure, the following also reached Geometric Persistence:

    category_transition_code
        STRUC-I state = Boundary-Stabilized
        mean Aκ = 0.977625
        min Aκ  = 0.9645

    transition_class_code
        STRUC-I state = Boundary-Stabilized
        mean Aκ = 0.977463
        min Aκ  = 0.9675

    transition_family_code
        STRUC-I state = Weak Persistence
        mean Aκ = 0.9673
        min Aκ  = 0.9585

    layer_transition_code
        STRUC-I state = Weak Persistence
        mean Aκ = 0.953737
        min Aκ  = 0.9355

This means the expanded corpus does not merely preserve one route coordinate.
It forms a broader transition taxonomy with persistent class, family, category,
and layer structure.

Important Change from Phase 3 Seed
----------------------------------
In the original 7-transition seed, total-charge coordinates reached weak
persistence. In Phase 3B, final_total_charge is Structural Boundary /
Transitional Structure.
final_total_charge status: Structural Boundary / Transitional Structure

Interpretation:

    As the corpus expands, raw total charge becomes less structurally decisive.
    The persistent structure shifts toward route, closure, category, class,
    family, and layer transition coordinates.

This strengthens the UNNS interpretation:

    charge conservation is the visible projection;
    route / closure transition structure is the deeper invariant.

Count and Multiplicity Coordinates
----------------------------------
Count and multiplicity encodings mostly remained Structural Boundary /
Transitional Structure under STRUC-I, even though they fully percolated under
STRUC-PERC-I.

Examples:
    charged_multiplicity_delta: Structural Boundary / Transitional Structure ; mean Aκ=0.736212
    neutral_multiplicity_delta: Structural Boundary / Transitional Structure ; mean Aκ=0.812175
    composite_count_delta: Structural Boundary / Transitional Structure ; mean Aκ=0.909825
    externalization_delta: Structural Boundary / Transitional Structure ; mean Aκ=0.860463
    final_multiplicity: Structural Boundary / Transitional Structure ; mean Aκ=0.796712
    charged_final_count: Structural Boundary / Transitional Structure ; mean Aκ=0.729488
    neutral_final_count: Structural Boundary / Transitional Structure ; mean Aκ=0.729937
    composite_initial_count: Structural Boundary / Transitional Structure ; mean Aκ=0.637175
    external_initial_count: Structural Boundary / Transitional Structure ; mean Aκ=0.635075

Interpretation:

    Product counts and object-count deltas are connected in the graph sense,
    but they are not the main persistent geometry of allowed transitions.

Strongest and Weakest STRUC-I Encodings
---------------------------------------
Strongest by mean Aκ:

    route_transition_code
        regime = Geometric Persistence
        state = Boundary-Stabilized
        mean Aκ = 0.9851
        min Aκ = 0.9765
        mean rho = 0.768218

Weakest by mean Aκ:

    external_initial_count
        regime = Structural Boundary
        state = Transitional Structure
        mean Aκ = 0.635075
        min Aκ = 0.594
        mean rho = 0.992445

Relation to Phase 3 Seed
------------------------
Phase 3 seed:

    7 allowed transitions
    9 STRUC-PERC-I full-percolation encodings
    1 STRUC-PERC-I hard-fragmentation encoding
    route_transition_code and closure_transition_code reached weak persistence

Phase 3B expanded:

    38 allowed transitions
    all tested non-constant STRUC-PERC-I encodings reached FULL_PERCOLATION
    route_transition_code and closure_transition_code reached Boundary-Stabilized
    Geometric Persistence

Conclusion:

    The Phase 3 seed result was not a small-corpus artifact.

Relation to the Charge-Boundary Program
---------------------------------------
Phase 1 established the static boundary regimes:

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

Phase 2 established that charge-value geometry and route geometry are not
equivalent.

Phase 3 established that allowed transitions show route / closure transition
persistence in the 7-transition seed.

Phase 3B now establishes that the route / closure result survives expansion.

Main Scientific Finding
-----------------------
The expanded allowed-transition corpus forms a fully connected percolation
structure across all tested non-constant encodings, while STRUC-I concentrates
geometric persistence in route, closure, category, class, family, and layer
transition coordinates.

Compact statement:

    Allowed particle transitions are organized more strongly by route /
    closure transition geometry than by raw total charge or product-count
    coordinates.

UNNS Interpretation
-------------------
In the UNNS Substrate interpretation, Phase 3B strengthens the dynamic
charge-boundary principle.

The visible conservation law is:

    sum(Q_initial) = sum(Q_final)

The deeper structural invariant is:

    admissible boundary-route / closure-transition structure is preserved
    across allowed transformations.

Thus:

    charge conservation is the visible projection;
    route / closure transition geometry is the persistent structural channel.

Supported Claims
----------------
This Phase 3B test supports:

1. The expanded 38-transition corpus is fully percolating in all tested
   non-constant STRUC-PERC-I encodings.
2. route_transition_code remains Geometric Persistence under STRUC-I.
3. closure_transition_code remains Geometric Persistence under STRUC-I.
4. category_transition_code, transition_class_code, transition_family_code,
   and layer_transition_code also reach Geometric Persistence.
5. Count and multiplicity coordinates are mostly connected but transitional.
6. The original Phase 3 route / closure finding is robust under expansion.

Not Claimed
-----------
This report does not claim:

1. A complete particle-decay database.
2. A derivation of all Standard Model decay rules.
3. A proof of confinement.
4. That categorical numeric codes are physical magnitudes.
5. That every possible future expansion will keep the same exact persistence
   profile.
6. That Phase 2C same-charge control is unnecessary.

Recommended Next Step
---------------------
The next clean step is either:

    A. Produce PHASE3B_EXPANDED_synthesis_report.txt

or:

    B. Run Phase 2C — Same-Charge Different-Route Control

Recommended order:

    1. Produce Phase 3B synthesis report.
    2. Run Phase 2C same-charge control.
    3. Then decide whether to create Phase 3C with constrained / forbidden
       comparison transitions.

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

    charge_boundary_routing_i/
    └── outputs/
        └── reports/
            └── phase3B_expanded_transitions/
                └── PHASE3B_EXPANDED_chamber_comparison_report.txt
