Charge Boundary Routing I
Phase 3 — Closure-Preserving Transitions
PHASE3_TRANSITIONS_synthesis_report.txt

Generated: 2026-06-15


Purpose
-------
This synthesis report records what Phase 3 established after the seed
transition corpus was built, encoded as chamber ladders, tested in STRUC-PERC-I,
and tested in STRUC-I.

Phase 3 asked:

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

The answer from the seed run is:

    Yes, at the seed-corpus level.

More precisely:

    allowed transitions preserve charge as the visible projection,
    while route-transition and closure-transition coordinates show the
    strongest structural persistence.


Project Position
----------------
Current project sequence:

    Phase 1 — Boundary Classification              COMPLETE
    Phase 2 — Bridge Geometry                       COMPLETE
    Phase 2C — +1 Same-Charge Route Control          RESERVED / VALIDATION
    Phase 3 — Closure-Preserving Transitions         COMPLETE FOR SEED CORPUS

Phase 3 does not replace Phases 1 and 2.

It depends on them.

Phase 1 supplied the static regimes:

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

Phase 2 supplied bridge behavior between those regimes.

Phase 3 tested whether allowed transitions preserve a dynamic route / closure
structure across transformations.


Phase 3 Seed Corpus
-------------------
Canonical corpus file:

    data/canonical/phase3_closure_preserving_transitions.csv

Seed size:

    7 transitions

Seed transitions:

    T001 — neutron_beta_decay
           n -> p + e- + anti_nu_e
           0 -> +1 -1 + 0

    T002 — positive_pion_muonic_decay
           pi+ -> mu+ + nu_mu
           +1 -> +1 + 0

    T003 — negative_muon_decay
           mu- -> e- + anti_nu_e + nu_mu
           -1 -> -1 + 0 + 0

    T004 — w_minus_leptonic_decay
           W- -> e- + anti_nu_e
           -1 -> -1 + 0

    T005 — w_plus_leptonic_decay
           W+ -> e+ + nu_e
           +1 -> +1 + 0

    T006 — neutral_pion_two_photon_decay
           pi0 -> gamma + gamma
           0 -> 0 + 0

    T007 — positive_kaon_muonic_decay
           K+ -> mu+ + nu_mu
           +1 -> +1 + 0


Why the Seed Was Small
----------------------
The Phase 3 seed was intentionally small.

It was not designed as a full particle-decay database.

It was designed as a controlled first test containing:

    composite -> composite + external + neutral
    composite -> external + neutral
    external -> external + neutral
    neutral composite -> neutral radiation closure

This was enough to test the central dynamic question without losing auditability.


Files Produced
--------------
Phase 3 corpus builder:

    scripts/build_phase3_transition_corpus.py

Phase 3 corpus README:

    scripts/README_build_phase3_transition_corpus.txt

Phase 3 ladder builder:

    scripts/build_phase3_transition_ladders.py

Phase 3 ladder README:

    scripts/README_build_phase3_transition_ladders.txt

Canonical corpus:

    data/canonical/phase3_closure_preserving_transitions.csv

Summary JSON:

    data/derived/phase3_transition_summary.json

Full provenance ladders:

    ladders/phase3_transitions/

One-column chamber ladders:

    ladders/phase3_transitions/one_column/

Diagnostics:

    ladders/phase3_transitions/diagnostics/

Chamber comparison report:

    outputs/reports/phase3_transitions/
        PHASE3_TRANSITIONS_chamber_comparison_report.txt


Chamber Encodings
-----------------
The ladder builder created twelve encodings:

    charge_balance_error
    initial_total_charge
    final_total_charge
    charged_multiplicity_delta
    neutral_multiplicity_delta
    layer_transition_code
    route_transition_code
    closure_transition_code
    boundary_preservation_code
    externalization_delta
    composite_count_delta
    transition_class_code

Two encodings were constant by construction:

    charge_balance_error = 0
    boundary_preservation_code = 1

These were not used as first chamber inputs because the seed corpus contains
allowed charge-preserving transitions only.

The 10 non-constant encodings were tested in STRUC-PERC-I and STRUC-I.


STRUC-PERC-I Result
-------------------
STRUC-PERC-I tested the 10 selected non-constant Phase 3 transition ladders.

Result:

    9 encodings -> FULL_PERCOLATION
    1 encoding  -> HARD_FRAGMENTATION

FULL_PERCOLATION encodings:

    closure_transition_code
    composite_count_delta
    externalization_delta
    final_total_charge
    initial_total_charge
    layer_transition_code
    neutral_multiplicity_delta
    route_transition_code
    transition_class_code

HARD_FRAGMENTATION encoding:

    charged_multiplicity_delta

The fragmentation of charged_multiplicity_delta is meaningful.

It shows that the transition corpus is not organized primarily by how many
charged objects appear or disappear. Charged-object count is a descriptive
coordinate, not the structural invariant.


STRUC-I Result
--------------
STRUC-I tested the same 10 selected non-constant Phase 3 transition ladders.

Result:

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

Weak-persistent encodings:

    closure_transition_code
    final_total_charge
    initial_total_charge
    route_transition_code
    transition_class_code

Transitional encodings:

    charged_multiplicity_delta
    composite_count_delta
    externalization_delta
    layer_transition_code
    neutral_multiplicity_delta

The strongest STRUC-I signatures were:

    closure_transition_code
    route_transition_code
    transition_class_code

These are exactly the encodings that describe dynamic identity of a transition,
rather than merely counting products or charges.


Primary Finding
---------------
The primary Phase 3 finding is:

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

More formal:

    The Phase 3 seed 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.

Compact version:

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


What Was Gained
---------------
Phase 3 adds a dynamic layer to the charge-boundary program.

Before Phase 3, the project had established:

    charge objects separate into external closures, confined fractional
    coordinates, composite closures, and boundary absences;

    bridge behavior shows that charge-value space and charge-route space are
    not equivalent.

Phase 3 now adds:

    allowed transformations preserve route / closure transition structure.

The gain is the shift from:

    What kind of charge object is this?

to:

    What kind of admissible transformation is this?

That is the key conceptual expansion.


Relation to Phase 1
-------------------
Phase 1 established the static boundary classes.

Layer A:

    primitive external integer / neutral charge closures

Layer B:

    confined fractional internal coordinates

Layer C:

    composite integer / neutral closures

Layer D:

    boundary absences and empirical constraints

Phase 3 shows that transitions can be described as dynamic routes between
these regimes.

Examples:

    neutron beta decay:
        C -> C + A + A

    positive pion muonic decay:
        C -> A + A

    W+ leptonic decay:
        A -> A + A

    neutral pion two-photon decay:
        C -> A + A

The result is not merely that charge sums are preserved.

The result is that layer, route, closure, and transition-class coordinates
become analyzable as transition structure.


Relation to Phase 2
-------------------
Phase 2 showed that the charge-boundary corpus is not a simple signed-charge
ladder.

The bridge pattern was:

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

Phase 3 continues that result dynamically.

It shows:

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

Thus Phase 3 is the dynamic counterpart of Phase 2.

Phase 2 result:

    equal charge value does not imply equal route.

Phase 3 result:

    allowed charge-preserving transitions organize by route / closure
    transition class, not by charge count alone.


Why charged_multiplicity_delta Matters
--------------------------------------
The only STRUC-PERC-I hard-fragmentation channel was:

    charged_multiplicity_delta

This matters because it prevents a simplistic interpretation.

If transition structure were merely about counting charged particles, this
encoding should have been one of the strongest channels.

Instead, it fragmented.

That means:

    charged-object count is not the invariant.

The allowed transitions remain coherent in route, closure, transition-class,
and total-charge coordinates, while charged multiplicity separates one
transition form from the rest.

Therefore:

    charged multiplicity is descriptive;
    route / closure transition is structural.


Why Total Charge Matters, But Is Not Enough
-------------------------------------------
Both total-charge encodings reached weak persistence:

    initial_total_charge
    final_total_charge

This is expected because the seed corpus contains allowed charge-conserving
transitions.

But the deeper result is that total charge was not alone.

The following also reached weak persistence:

    route_transition_code
    closure_transition_code
    transition_class_code

Therefore Phase 3 does not merely rediscover charge conservation.

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


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

The transition corpus behaves as if allowed reactions preserve a structural
route invariant.

The visible conservation law is:

    sum(Q_initial) = sum(Q_final)

The structural invariant is:

    admissible boundary route is preserved across transformation.

In this framing, particle transitions are not just algebraic charge equations.

They are admissible transformations between closure regimes.


Supported Claims
----------------
This Phase 3 seed test supports the following claims:

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.

9. Phase 3 successfully extends the program from static boundary classification
   to dynamic closure-preserving transitions.


Not Claimed
-----------
This Phase 3 seed test does not yet claim:

1. A complete particle-decay database.

2. A derivation of all charge conservation laws.

3. A proof of confinement.

4. A proof that the seven-transition seed is statistically exhaustive.

5. That categorical code values are physical magnitudes.

6. That all particle reactions will show the same persistence profile.

7. That charge conservation alone explains the chamber result.

8. That Phase 2C can be skipped permanently.

Phase 2C remains useful as a clean control.


Phase 2C Reserved Control
-------------------------
The reserved validation/control remains:

    Phase 2C — Same-Charge Different-Route Control

Objects:

    positron
    proton
    pi+
    K+
    W+

Purpose:

    test whether same external charge Q = +1 corresponds to different
    structural routes.

Expected result:

    same Q = +1 does not imply same structural route.

This control should remain separate from Phase 3.

It is not a transition corpus.

It is a same-charge structural-route control.


Recommended Next Step
---------------------
The immediate next scientific step is one of the following.

Option 1 — Phase 2C control:

    Build and run the +1 same-charge route-control corpus.

This is small, clean, and useful for public explanation.

Option 2 — Phase 3B expansion:

    Expand the allowed-transition corpus beyond seven seed transitions.

Suggested Phase 3B categories:

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

Primary Phase 3B question:

    Do route_transition_code and closure_transition_code remain weakly
    persistent when the transition corpus grows?

Recommended order:

    1. Run Phase 2C control.
    2. Then build Phase 3B expanded transition corpus.


Operational Status
------------------
Current status:

    Phase 1: COMPLETE
    Phase 2: COMPLETE
    Phase 3 seed corpus: BUILT
    Phase 3 ladders: BUILT
    Phase 3 STRUC-PERC-I: COMPLETE
    Phase 3 STRUC-I: COMPLETE
    Phase 3 comparison report: COMPLETE
    Phase 3 synthesis report: COMPLETE

Next recommended operational file:

    scripts/build_phase2C_same_charge_route_control.py

or:

    scripts/build_phase3B_expanded_transition_corpus.py


Canonical Closing Statement
---------------------------
Phase 3 establishes the first dynamic form of the Charge Boundary Routing I
program.

The result is not simply that allowed transitions conserve charge.

The stronger result is:

    allowed transitions preserve a weakly persistent route / closure
    transition structure.

This gives the project its dynamic principle:

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