Charge Boundary Routing ANALYTICS

Absolute and signed charge produce HARD_FRAGMENTATION in the ABCD combined ladder, while boundary_route_coordinate, closure_class_code, closure_state_code, and route_class_code all reach FULL_PERCOLATION. This is the first empirical result distinguishing charge-value topology from charge-route topology within the UNNS framework. Signed charge is also the lowest STRUC-I admissibility coordinate (mean Aκ = 0.657), consistent with maximum heterogeneity across the four-layer corpus.

The AB bridge fragments in charge-value coordinates but percolates in route/closure coordinates. The BC bridge is route-connected. The CD and BCD bridges fragment in all encodings — Layer D acts as a topological terminus, not a smooth continuation of the composite-closure layer. The ABC bridge partially recovers through composite mediation but retains boundary pressure. The key result: charge-value connectivity and route/closure connectivity produce genuinely different topological outcomes at every interface.

With all 10 pairwise charge differences fixed at exactly 0.000, structural_route_pair_code and sub_category_pair_code reach Geometric Persistence / Stable Structure with mean Aκ = 1.000, min Aκ = 1.000. The trivial same-charge invariant (charge_difference, same_charge_pair) remains Structural Boundary / Transitional. The chamber did not reward the Q/e = +1 invariant — it detected genuine structural route separation among objects sharing identical external charge. This is the clean control result: charge equality is not structural-route equivalence.

route_transition_code and closure_transition_code reach Geometric Persistence / Weak Persistence with mean Aκ = 0.9999 — the highest STRUC-I admissibility in the seed corpus. The single HARD_FRAGMENTATION (charged_multiplicity_delta, GR = 0.857, TD = 0.997) is structurally meaningful: allowed transitions are not organized by how many charged objects change. This fragmentation does not recur in Phase 3B, revealing it as a small-corpus sensitivity rather than a persistent feature.

Expanding from 7 to 38 allowed transitions across 8 decay families produces 21/21 FULL_PERCOLATION with zero HARD_FRAGMENTATION. route_transition_code and closure_transition_code advance from Weak Persistence (Phase 3) to Boundary-Stabilized (Phase 3B), strengthening to mean Aκ = 0.985 and 0.984 respectively. The fact that total-charge coordinates become less structurally decisive as the corpus grows (falling from Weak Persistence to Transitional) further concentrates the persistent geometry in route, closure, category, class, family, and layer transition coordinates.

Phase 3C completes the allowed/forbidden contrast. The 48-row mixed corpus (allowed controls, charge-violating mocks, free-fractional externalization, selection-rule violations, route-incoherent mocks, constrained boundary cases) remains globally connected under STRUC-PERC-I (42/42 Full Percolation, 0 Hard Fragmentation). However, STRUC-I drives route_transition_code from GP/Boundary-Stabilized (Aκ = 0.985 in Phase 3B) to Structural Boundary / Transitional (Aκ = 0.859 in Phase 3C). closure_transition_code, category_transition_code, and transition_family_code remain GP/BS or stronger. The forbidden boundary is therefore a selective collapse of route-transition admissibility — not a gross structural disconnection. Charge balance is necessary but not sufficient: route-transition admissibility is the structural discriminator.

Across all six phases, the consistent result is that external charge value Q is insufficient to characterize the structural regime of a charged object. Layer A and Layer C objects may share the same |Q| = 1 while occupying entirely different route classes (EXTERNAL_CLOSURE vs. COMPOSITE_CLOSURE). Five same-charge objects (positron, proton, π⁺, K⁺, W⁺) with Q/e = +1 produce Stable Structure (Aκ = 1.000) in structural_route_pair_code, demonstrating that the route coordinate is non-trivially organized even when charge is fixed.

Layer B quarks carry fractional charge (±1/3, ±2/3) and are INTERNAL_FRACTIONAL_COORDINATEs, not failed external closures. The BC bridge is route-connected (all route/closure encodings reach FULL_PERCOLATION), consistent with a compositional routing relationship between B and C. The CD and BCD bridges fragment, showing that Layer D (boundary absence) terminates the externalization route rather than continuing it. In this framing, confinement is a boundary-routing condition: fractional charge reaches the free-externalization boundary and is routed into confined composite closure instead.

In both Phase 3 and Phase 3B, route_transition_code and closure_transition_code are among the strongest STRUC-I admissibility coordinates, advancing to Boundary-Stabilized in Phase 3B. The raw charge conservation identity (sum Q_initial = sum Q_final) is embedded within a richer structural invariant: route-topology preservation across the transition. Count and multiplicity coordinates are structurally weaker than route / closure transition coordinates — the visible conservation law is necessary but not sufficient as a structural description of the transition.

The positron (primitive lepton route), proton (baryonic composite route), π⁺ (mesonic composite route), K⁺ (strange composite route), and W⁺ (gauge-boson route) all land on Q/e = +1 through structurally non-equivalent internal architectures. This is the charge analogue of the stellar bridge principle: Full(A) ∧ Full(B) ∧ Full(C) does not imply A ≈ B ≈ C. For charge: integer closure of the electron ladder and integer closure of the proton ladder do not imply identical internal structure — they are different regimes sharing one boundary invariant.

Phase 3C extends the empirical chain from the allowed interior to the forbidden boundary. The mixed corpus remains globally connected (42/42 FP), but route_transition_code loses Geometric Persistence — dropping from GP/BS (0.985) to SB/TS (0.859). Closure, category, and family encodings remain GP/BS or improve. This selectivity is the key result: the forbidden boundary is not a gross structural disconnection but a targeted collapse of route-transition admissibility. Charge conservation (Σ Q_initial = Σ Q_final) is a necessary condition for structural admissibility; it is not sufficient.