Bohm Transport Closure in QMU/APM: Interferometric Phase, Plasma Cross-Field Diffusion, and Sheath Boundary Gates

Bohm Transport Closure in QMU/APM: Interferometric Phase, Plasma Cross-Field Diffusion, and Sheath Boundary Gates This paper isolates two experimentally anchored pillars in David Bohm’s program— (i) magnetic-flux–driven interferometric phase (Aharonov--Bohm) and (ii) anomalous cross-field plasma transport (Bohm diffusion) —and reformulates both ledger-first in Quantum Measurement Units (QMU) within the Aether Physics Model (APM). What is done (QMU-native) The development is fully QMU-native (no and no SI constants), using only the ledger primitives \mₑ, C, Fq, {eₑmax^2\} and QMU-derived working units: temp=C^2Fq^2 enrg=mₑ\, temp=mₑC^2Fq^2 swep=C^2Fq chrg eₑmax^2 (magnetic square-charge primitive) mfxd=mₑFq/chrg mflx=mₑC^2Fq/chrg cond=1/mflx Key closures (the spine) (1) Flux--phase law (Aharonov--Bohm, QMU form). The interferometric phase sensitivity closes to a QMU flux quantum: \ \;=\; 2\, mflx, =angmchrg, =mₑC^2Fq. \ (2) Bohm diffusion as a fixed fraction of the quantum sweep. Cross-field diffusion is expressed as a fraction of the universal sweep: ₁ \;=\; ₁16\, swep, =C^2Fq, ₁ is a dimensionless boundary/closure coefficient that packages sheath gates, wall coupling, rotation, and fluctuation-driven decorrelation. (3) Electrostatic--magnetic channel conversion and the /2 factor. The electrostatic square-charge e^2 and magnetic square-charge chrg satisfy^2=8\, chrg, 2=e^216\, chrg. frames /2 as a charge-channel holonomy signature that can appear when sheath/boundary physics selects electrostatic bookkeeping relative to the bulk magnetic-charge transport ledger. Boundary gates and falsifiability The paper separates ledger universality (the sweep sets the only transport dimension) from boundary specificity (sheath/wall physics sets ₁ and may select a charge-channel normalization). A compact appendix provides a two-observable ``toy illustration'' with decidable failure modes, separating: Pure boundary gate: transport changes while the flux--phase slope remains invariant. Charge-channel swap: a correlated interferometric signature must appear alongside the transport rewrite. Experimental program (directly testable) Three proposed experiments connect interferometry to edge transport closure: E1: extract the flux--phase slope from fringe shifts while toggling sheath coupling. E2: measure cross-field diffusion and report the dimensionless D=D/swep to infer ₁ across boundary settings. E3: extract a sheath gate coefficient from boundary phase-gradient diagnostics and compare against ₁. Intended use. This release provides a compact QMU-native scaffold for plasma experimentalists and modelers to (i) normalize cross-field transport to a universal QMU scale and (ii) test whether boundary-conditioned transport prefers magnetic or electrostatic charge bookkeeping via a two-observable gate (interferometric slope versus transport closure).