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 ₑ,λC,Fq,eₑmax²\ and QMU-derived working units: temp=λC²Fq² enrg=mₑ\,temp=mₑλC²Fq² swep=λC²Fq chrg≡ eₑmax² (magnetic square-charge primitive) mfxd=mₑFq/chrg mflx=mₑλC²Fq/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:\[Δφ \;=\; 2π\,Φ/mflx,=angm/chrg,=m_e{λ_C}²F_q.\] (2) Bohm diffusion as a fixed fraction of the quantum sweep. Cross-field diffusion is expressed as a fraction of the universal sweep:\[DB \;=\; {ΞB}{16}\,swep,={λ_C}²F_q,\]where ΞB is a dimensionless boundary/closure coefficient that packages sheath gates, wall coupling, rotation, and fluctuation-driven decorrelation. (3) Electrostatic--magnetic channel conversion and the πα/2 factor. The electrostatic square-charge e² and magnetic square-charge chrg satisfy\[e²=8πα\,chrg,πα/2={e²}{16\,chrg}.\]This frames πα/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 ΞB 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 ΞB across boundary settings. E3: extract a sheath gate coefficient from boundary phase-gradient diagnostics and compare against ΞB. 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).