The Rotating Magnetic Field — The Engineering Manifestation of the Aether Unit

The rotating magnetic field, rmfd, is established as the engineering manifestation of the Aether Unit, with the canonical identity Aᵤ ≡ rmfd and the Quantum Measurement Unit definition rmfd=mₑλC³Fq²eₑₘₐₓ². Its primitive signature is $(1,3,2,-1)$ in the ordered basis (mₑ,λC,Fq,eₑₘₐₓ²). The paper distinguishes the canonical QMU quantity from any particular coil, crystal, plasma, optical, or mechanical apparatus used to realize it. The current machine-readable authority contains 163 validated relationships: one identity, one direct reciprocal, 41 products, 40 reciprocal products, and 80 directed quotients. These include the direct reciprocal rmfd=1/ptty, the Ledger One closure rmfd\,curl=Fq²λC²=c², the complementary product--quotient structure rmfd\,curl=c², rmfd/curl=mflx²=eddy, rmfd=c\,mflx, and curl=c/mflx. The authority independently preserves both rmfd=eddy\,curl and rmfd=1/curl\,qsin, where qsin=1λC²Fq². The formal inverse 1/eddy remains unnamed because dimensional availability alone does not establish a physically meaningful QMU quantity. The paper also corrects two reciprocal-product relationships: rmfd=1/mfir\,time and rmfd=1/mfde\,orbt. The transposed quotients time/mfir and orbt/mfde occupy different QMU locations and are retained as explicit negative controls for compiler and experimental validation. The registered-unit accounting is $$257=1+158+98,$$ representing one target unit, 158 participating factor units, and 98 nonparticipating factor units. The 98-unit discovery frontier is organized into five primitive-signature blocks: $$(1,b,c,0):23,$$ $$(-1,b,c,0):23,$$ $$(0,b,c,0):26,$$ $$(0,b,c,1):13,$$ and $$(0,b,c,-1):13.$$ For each frontier unit, the accompanying ledger records exact dimensional addresses for possible product, reciprocal-product, and directed-quotient partners. These addresses are presented as a finite research map rather than as automatically discovered or named quantities. A new QMU quantity requires independent physical meaning, canonical terminology, and a measurable or falsifiable role. The manuscript defines the rmfd authority architecture, relationship-generation algebra, canonical-symbol rules, provenance requirements, QMU Engineering Compiler logic, apparatus calibration coefficient, experimental closure program, and structured discovery frontier. It distinguishes canonical definitions, inherited Aether Physics Model identities, generated dimensional relationships, apparatus realizations, and empirical closure tests. The accompanying reproducibility archive contains the complete LaTeX source, compiled PDF, 163-row relationship ledger, versioned JSON authority record, machine-readable relationship snapshot, 98-row factor-boundary audit, discovery-frontier ledger, validation materials, visual-inspection report, license, metadata, and SHA-256 file manifest.