Charge Boundary Routing I
Phase 1 — Layer-Resolved Synthesis Report
phase1_layer_resolved_synthesis_report.txt

Generated: 2026-06-15

Project
-------
Charge Boundary Routing I:
Fractional Charge as Confined Route, Integer Charge as External Closure

Phase 1 purpose:
    Separate the charge-boundary corpus into four empirical layers and test
    whether each layer behaves as an isolated numeric ladder or whether the
    meaningful structure appears only through cross-layer routing.

Phase 1 layers:
    Layer A — Primitive External Charge Closures
    Layer B — Confined Fractional Coordinates
    Layer C — Composite Closures
    Layer D — Boundary Absences and Non-observed Cases

Chambers used:
    STRUC-PERC-I v2.5.0
        Connectivity / percolation / fragmentation screen.

    STRUC-I v1.0.4
        Admissibility-pressure / perturbation-boundary screen.
        Inequality: inv(P_epsilon; L) <= nu(V_epsilon(L)).


Core Phase 1 Result
-------------------
Phase 1 shows that charge boundary routing is not contained in any single
isolated layer.

Instead:

    Layer A supplies external signed-charge coherence.
    Layer B supplies confined fractional internal coordinates.
    Layer C supplies composite closure connectivity.
    Layer D supplies boundary absences and non-observed externalizations.

The full charge-boundary structure is therefore cross-layer. It is not a
simple charge-value ladder.


Compact Finding
---------------
    Charge-value behavior differs by layer.
    Charge-route structure emerges when A-D are combined.


Layer A Summary
---------------
Layer A:
    Primitive External Charge Closures

Examples:
    electron, positron, muon, antimuon, tau, antitau,
    electron neutrino, muon neutrino, tau neutrino,
    photon, W-, W+, Z, Higgs.

Expected role:
    external integer / neutral charge baseline.

Layer A STRUC-PERC-I result:
    signed_charge        -> FULL_PERCOLATION
    all other encodings  -> HARD_FRAGMENTATION

Layer A STRUC-I result:
    signed_charge        -> Geometric Persistence / Weak Persistence
    all other encodings  -> Structural Boundary / Transitional Structure

Layer A key statement:
    Layer A is signed-charge coherent but route-taxonomy sparse.

Interpretation:
    Primitive external charge closures are already externalized charge states.
    Their isolated structure is naturally organized by signed external charge.
    Route / closure encodings do not percolate inside Layer A alone because
    Layer A lacks the cross-layer transitions supplied by confined fractional
    coordinates, composite closures, and boundary absences.

Scientific meaning:
    Layer A acts as the external charge baseline. It is not the whole
    charge-routing system. It supplies the reference side of the boundary.


Layer B Summary
---------------
Layer B:
    Confined Fractional Coordinates

Examples:
    up, down, strange, charm, bottom, top,
    anti-up, anti-down, anti-strange, anti-charm, anti-bottom, anti-top.

Expected role:
    fractional charges as locally valid but externally non-free coordinates.

Layer B STRUC-PERC-I result:
    all six encodings -> FULL_PERCOLATION

Layer B STRUC-I result:
    all six encodings -> Structural Boundary / Transitional Structure

Strongest Layer B STRUC-I encoding:
    absolute_charge
    mean A-kappa = 0.92485
    min A-kappa  = 0.904
    mean rho     = 0.834929

Weakest Layer B STRUC-I encoding:
    signed_charge
    mean A-kappa = 0.72375
    min A-kappa  = 0.6555
    mean rho     = 0.951608
    max rho      = 1.011375

Layer B key statement:
    Layer B is internally percolating but admissibility-transitional.

Interpretation:
    Confined fractional charge coordinates form a connected internal layer.
    However, STRUC-I keeps the layer in the Structural Boundary regime.
    Fractional charge alone is therefore connected as an internal coordinate
    system, but it does not become a persistent external closure layer by
    itself.

Scientific meaning:
    Layer B supplies the internal fractional coordinates required by the
    charge-routing system. Its purpose is not external closure. Its meaning
    becomes physical only through confinement and composite routing.


Layer C Summary
---------------
Layer C:
    Composite Closures

Examples:
    proton, neutron, pi+, pi0, pi-, K+, K0, K-, Delta++, Omega-.

Expected role:
    routing of fractional internal components into integer or neutral
    external composite charge closures.

Layer C STRUC-PERC-I result:
    all six encodings -> FULL_PERCOLATION

Layer C STRUC-I result:
    all six encodings -> Structural Boundary / Transitional Structure

Strongest Layer C STRUC-I encoding:
    absolute_charge
    mean A-kappa = 0.8805
    min A-kappa  = 0.8485
    mean rho     = 0.85267
    max rho      = 0.88425

Weakest Layer C STRUC-I encoding:
    closure_class_code
    mean A-kappa = 0.733375
    min A-kappa  = 0.6805
    mean rho     = 0.972833
    max rho      = 1.011625

Layer C key statement:
    Layer C is fully percolating as composite closure, but remains
    admissibility-transitional.

Interpretation:
    Composite states form a connected closure layer under STRUC-PERC-I.
    This supports the view that fractional internal coordinates can route
    into integer or neutral composite outcomes without fragmenting the
    composite ladder.

    However, STRUC-I keeps all Layer C encodings in the Structural Boundary
    regime. Composite closure restores connectivity, but it does not remove
    boundary pressure when Layer C is tested alone.

Scientific meaning:
    Layer C is the first explicit closure-routing layer. It confirms that
    fractional components can be arranged into externally integer or neutral
    composites. But the full meaning of this closure depends on Layer B
    internal coordinates and Layer D boundary constraints.


Layer D Summary
---------------
Layer D:
    Boundary Absences and Non-observed Cases

Examples:
    free quark absence
    magnetic monopole absence
    neutron charge-violation constraint
    proton-electron charge mismatch bound

Expected role:
    empirical boundary marker for absent, forbidden, unresolved, or strongly
    constrained externalizations.

Attempted Layer D STRUC-I result:
    all six isolated Layer D uploads were rejected by STRUC-I v1.0.4.

Observed chamber message:
    No valid numeric ladder found in csv.

Manual file inspection:
    At least one charge-value file contained only:

        value

    with no numeric rows below it.

    At least one boundary-coordinate file contained only a very small sequence:

        value
        1.25
        1.5
        2

Layer D decision:
    STRUC-I isolated test: NOT APPLICABLE / NOT ADMISSIBLE AS INPUT

Layer D key statement:
    Layer D is not a failed ladder. It is the boundary condition of the
    charge-routing ladder.

Interpretation:
    Layer D does not contain ordinary charge-state ladders. It contains
    absence and constraint markers. Therefore it should not be forced into
    the same isolated STRUC-I workflow used for Layers A, B, and C.

Scientific meaning:
    Layer D belongs in the combined ABCD route-space analysis, where it acts
    as a boundary condition on possible externalizations. Its role is not to
    provide standalone charge persistence, but to mark the empirical edge of
    charge externalization.


Layer Comparison
----------------
Layer A:
    External primitive charge closures.
    Signed charge percolates and persists.
    Route / closure encodings fragment or remain transitional.

Layer B:
    Confined fractional internal coordinates.
    All encodings percolate.
    All remain Structural Boundary / Transitional Structure.

Layer C:
    Composite closures.
    All encodings percolate.
    All remain Structural Boundary / Transitional Structure.

Layer D:
    Boundary absences and non-observed cases.
    Not applicable as isolated STRUC-I ladder.
    Boundary-condition layer rather than ordinary numeric ladder.

The layers therefore have distinct roles:

    A = external baseline
    B = internal fractional coordinate system
    C = composite closure route
    D = boundary absence / constraint marker


Comparison with ABCD Combined Result
------------------------------------
The earlier ABCD combined chamber result showed:

    signed_charge fragments
    route / closure encodings percolate

Layer-resolved testing shows why this matters.

Layer A alone:
    signed_charge percolates / persists;
    route / closure encodings fragment or remain transitional.

Layer B alone:
    all encodings percolate;
    all remain transitional.

Layer C alone:
    all encodings percolate;
    all remain transitional.

Layer D alone:
    not an ordinary STRUC-I ladder.

Therefore, the ABCD combined result is not a trivial consequence of any one
layer. It appears when the layers are placed into a single route structure.

Key conclusion:

    The full charge-boundary behavior is cross-layer.

The combined ABCD route-space result should be interpreted as an emergent
routing relation among:

    external primitive closure,
    confined fractional coordinate,
    composite closure,
    boundary absence.


UNNS Interpretation
-------------------
In the UNNS Substrate framing, Charge Boundary Routing I suggests that
charge should not be treated only as a list of values. It should be treated
as a layered admissibility-routing structure.

The empirical layers suggest the following interpretation:

    Integer / neutral external charges are stable external closures.
    Fractional charges are valid internal coordinates.
    Composite particles route fractional coordinates into external closures.
    Non-observed cases mark the boundary of admissible externalization.

This does not mean Layer B or Layer C alone proves confinement or derives
charge quantization. Rather, Phase 1 establishes a structured empirical
separation:

    charge value,
    charge route,
    closure class,
    boundary absence

do not behave identically.

The meaningful structure appears in their relation.


Supported Claims
----------------
Phase 1 supports the following claims:

1. Layer A is signed-charge coherent as an external primitive closure layer.

2. Layer B is internally percolating as a confined fractional coordinate layer.

3. Layer C is fully percolating as a composite closure layer.

4. Layer B and Layer C remain Structural Boundary / Transitional Structure
   under STRUC-I when tested in isolation.

5. Layer D is not an ordinary isolated numeric ladder and should be treated
   as a boundary-condition layer.

6. The combined ABCD result is cross-layer and cannot be reduced to any
   single isolated layer.

7. Charge-value encodings and charge-route encodings behave differently
   depending on the layer.

8. The central structure of Charge Boundary Routing I is a routing relation:
   fractional internal coordinates route into integer / neutral external
   closures while boundary absences mark forbidden or absent externalizations.


Unsupported / Not Claimed
-------------------------
Phase 1 does not yet claim:

1. A derivation of electric charge quantization.

2. A proof of quark confinement.

3. A replacement for Standard Model charge assignments.

4. A final law of electric charge.

5. That Layer D should be forced into STRUC-I as an ordinary numeric ladder.

6. That percolation alone is equivalent to physical explanation.

7. That any single isolated layer contains the whole charge-boundary structure.


Operational Consequences
------------------------
Keep the existing Phase 1 reports:

    phase1_layerA_chamber_comparison_report.txt
    phase1_layerB_chamber_comparison_report.txt
    phase1_layerC_chamber_comparison_report.txt
    README_phase1_layerD_boundary_absence_note.txt

Use this synthesis report as the top-level Phase 1 layer-resolved summary.

Do not patch Layer D merely to force a chamber run. Treat Layer D as a
boundary-condition layer unless a dedicated Layer D boundary-coordinate
adapter is explicitly designed later.

Proceed next to Phase 2 bridge tests, where the scientific question shifts
from isolated layers to transitions between layers.


Recommended Phase 2 Bridge Tests
--------------------------------
The next stage should test cross-layer route formation directly.

Recommended bridge ladders:

    A <-> B
        external primitive closures to confined fractional coordinates

    B <-> C
        fractional coordinates to composite closures

    C <-> D
        composite closures to boundary absences / constraints

    A <-> B <-> C
        external / fractional / composite route structure

    B <-> C <-> D
        fractional / composite / boundary route structure

    A <-> B <-> C <-> D
        full Phase 1 route structure, already approximated by ABCD combined

Primary Phase 2 question:

    Where does route-space percolation first appear?

Expected diagnostic value:

    If B <-> C percolates strongly, the fractional-to-composite closure route
    is the central bridge.

    If C <-> D changes the boundary metrics sharply, Layer D is acting as an
    externalization boundary marker.

    If A <-> B remains unstable but A <-> B <-> C stabilizes, composite closure
    is required to mediate the primitive-to-fractional transition.


Recommended Summary Sentence
----------------------------
Use this sentence in manuscripts or project notes:

    Phase 1 shows that electric-charge structure is not captured by an
    isolated charge-value ladder. External primitive charges, confined
    fractional coordinates, composite closures, and boundary absences have
    distinct chamber signatures. The coherent structure appears as a
    cross-layer route: fractional internal coordinates route into integer or
    neutral external closures, while non-observed cases mark the boundary of
    admissible externalization.


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

    charge_boundary_routing_i/
    └── outputs/
        └── reports/
            └── phase1_layer_resolved/
                └── phase1_layer_resolved_synthesis_report.txt

Related reports in the same folder:

    phase1_layerA_chamber_comparison_report.txt
    phase1_layerB_chamber_comparison_report.txt
    phase1_layerC_chamber_comparison_report.txt
    README_phase1_layerD_boundary_absence_note.txt
