Theoretical analysis demonstrates a framework for laboratory boundary realization in aether metric coordinates, highlighting falsifiable resonator geometries.
This fourth paper in the Aether Metric Coordinates (AMC) series extends the neutron-density and collective-coherence framework of Papers I--III into a laboratory program for testing whether externally prepared geometry, orientation, resonance, and chirality can produce a measurable collective Aether boundary realization. The central distinction is between an invariant Quantum Measurement Unit (QMU) reference and the collective realization of that reference by compound matter. The underlying Aether quantities are not varied by the apparatus. Instead, nuclei, materials, resonators, and other compound systems may realize fractional or structured states relative to invariant QMU references through orientation, coherence, resonance, chirality, and holonomy. The microscopic AMC boundary established in the preceding paper is retained as CA/cond=D,A/mflx=D⁻¹. The deformation coordinate D is then separated from the neutron-density source that originally generated it. Using the independently developed Aether-unit chronogeometry, the paper identifies the source-independent boundary realization D=LALA0=curlA/curl=rmfd/rmfdA,A/mflx=D⁻¹. Neutron density is therefore one constitutive mechanism capable of producing the AMC boundary state rather than part of the definition of that state. This distinction permits the AMC construction to be moved from compact-object matter to laboratory apparatus. A chiral tapered resonator, particularly the previously proposed trumpet-geometry Tesla resonator, is treated as a continuous traversal through collective boundary states rather than as a fixed-radius solenoid. The apparatus problem is formulated for a general winding path Γ, allowing curvature, torsion, taper, chirality, and accumulated holonomy to be treated explicitly. The earlier radial trumpet relation is retained only as a first-order calibration. For non-radial geometry, the paper develops a coefficient-free minimal pullback candidate based on the intrinsic Frenet-frame rotation density ω_Γ=√κ_Γ²+τ_Γ², with normalized realization W_Γ=ω_ΓωΓ₀. This construction is reparameterization invariant and mirror-even in its scalar channel. Signed torsion and chirality remain available to an odd holonomy channel. Consequently, two resonators with the same taper and turn count but different pitch or torsion programs need not produce the same predicted boundary realization. Material participation is treated independently of intrinsic winding geometry. The paper introduces three separately testable material gates: orientation availability, resonance registration, and holonomy closure. Their combined participation state is χA(s)= CO(s) Cᵣ(s) CH(s). The leading separability law is then dA⁽⁰⁾(s)=1+χA(s)[W_Γ(s)-1]. This construction prevents material effects from being absorbed into an arbitrary efficiency coefficient. Any reproducible active-link response beyond the separable prediction is instead isolated as an independently falsifiable material backreaction. Existing QADI material analyses are audited against these requirements. Photoexcited chiral tellurium supplies the strongest present orientation--resonance precedent, while gyroscopic coupling in a nonspinning ferromagnet, nuclear-shell holonomy analyses, and magnetic-anisotropy studies constrain complementary portions of the material-participation problem. No existing system independently closes orientation, resonance, and trumpet-specific holonomy for the same operating state. The laboratory test therefore remains prospective. A chirality quartet is proposed to separate scalar geometry from handed holonomy and to determine whether apparatus--material coupling is actually registered before an AMC boundary claim is evaluated. Material gates are calibrated upstream, the holonomy state is determined independently, and the resulting frozen prediction is then compared with coefficient-canceling differential boundary readouts. The paper includes a numerical preregistration for a geometry-only trumpet contrast. For the specified resonator pair, the radius-only model predicts no differential response, whereas the intrinsic frame-rotation pullback predicts D₂/D₁=0.9985688641 and ΔG D=-1.431136×10⁻³. Failure of this preregistered contrast rejects the proposed frame-rotation pullback without rejecting the source-independent definition of D. Likewise, failure of an independently calibrated orientation, resonance, or holonomy condition closes the corresponding material gate rather than being repaired by post hoc parameter fitting. The paper also places the invariant-versus-realized distinction into the current QMU closure framework. The invariant Aether pressure satisfies presA=masdA Aᵤ\,curl=GforceλC². The later closure-measure analysis separates the first-order rank-four to rank-five realization ΞF=αₐ4/5 from its quadratic resonance realization ΞR=ΞF²=αₐ8/5. These cosmological relations are not premises of the laboratory AMC derivation. In particular, uDEpresA=Ωcl is identified specifically with the pure-Λ cosmological branch rather than as a branch-independent identity. The laboratory AMC pullback and the cosmological Spatial Resonance Response Law remain separate constitutive questions that must be derived and tested independently. The resulting framework does not claim that a trumpet resonator has already produced a nontrivial AMC boundary state. Instead, it defines an overconstrained experimental procedure for determining whether laboratory geometry and independently registered material states can produce the same normalized AMC boundary coordinate previously obtained from neutron-loaded matter. The construction is explicitly falsifiable and preserves the invariant QMU reference structure regardless of whether the proposed apparatus pullback survives experiment.
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David J. Thomson (2026) studied this question.
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