The Chirality-Matched Receiver of the Aether Fabric: Invariant Boundary Action, One-Moment Spectral Selection, and the Triadic Capture Matrix

This paper derives the receiver-boundary mechanism that selects the six-dimensional material-compatible sector of the twelve-dimensional free phtn representation. It extends the occupied-channel construction by replacing the previously stated chirality-matching seat law with the minimum-work condition of an invariant binary boundary action. The transported scan chirality is s_γ=bη_γ, where b=±1 is antipodal port parity and η_γ=±1 is the transported temporal-handed component. The occupied Ligamen chirality is sL=qEηL, where qE=±1 denotes electrostatic-sphere polarity and ηL=±1 denotes the temporal-torque handedness of the occupied Ligamen Circulatus. The only relative binary scalar is χ=s_γ sL∈-1,+1. Requiring the receiver work to depend only on relative chirality, remain invariant under simultaneous sign reversal, vanish for complete agreement, and attain the occupied material scale mc² for complete disagreement uniquely gives Eₛₑₐₜ(χ)=mc²/2(1-χ). The minimum-work condition is therefore s_γ=sL, or equivalently, bη_γ=qEηL. Thus the chirality-matching seat law is recovered as the zero-mismatch condition of the lowest-order unbiased occupied boundary work rather than introduced as an independent fitted rule. For a fixed occupied sign s=qEηL, define K=B⊗σ3,γ, Pₛ=1/2(I₁₂+sK), and Qₛ=1/2(I₁₂-sK). The occupied receiver-boundary operator is Eseat,s=mc²Qₛ. The projectors Pₛ and Qₛ are Hermitian, idempotent, mutually orthogonal, and each has rank six. The compatible sector selected by Pₛ has zero mismatch work. The rejected sector selected by Qₛ carries the complete occupied mismatch scale mc². The free twelve-dimensional representation is therefore not continuously deformed into the locked representation. Instead, the receiver boundary spectrally selects one six-dimensional compatibility sector while separating its six-dimensional complement. The species angm scale is angmₘ=mλC²Fq. Since mc²=mλC²Fq²=angmₘFq, the receiver-boundary operator may be written Eseat,s=angmₘFqQₛ. Over one quantum moment, tq=Fq⁻¹, the accumulated mismatch action is Aseat,s=tqEseat,s=angmₘQₛ. A compatible component accumulates no mismatch action, while a rejected component accumulates exactly one species angm during the primitive interval. The associated mismatch freq operator is freqseat,s=FqQₛ, with spectrum spec(freqseat,s)=0,Fq, where each value has multiplicity six. The corresponding squared scale is Fq²=rson, although no second-order restoring equation is assumed. Frequency and resonance remain distinct QMU quantities. The complete 4π Stage 11D chronogeometry produces three antipodally paired temporal-registration classes. For transported and occupied classes q_γ,qL∈ Z₃, define Δq=2π/3(q_γ-qL). The normalized three-register coherence kernel is H₃(Δ)=|1+eiΔ+ei2Δ3|², or equivalently, H₃(Δ)=(1+2cosΔ)²/9. At the allowed registration differences, H₃(0)=1, and H₃(±2π/3)=0. The nine ordered source–receiver registration combinations therefore divide exactly into 9=3matched+6mismatched. The resulting ideal registration matrix is the 3×3 identity matrix. The three diagonal source–seat combinations are admitted, while all six off-diagonal combinations are rejected. The complete ideal receiver gate factors into three logically independent conditions: Gs,q=aₛₑₐₜ Cₛ(Ψ) H₃(Δq), where aₛₑₐₜ∈0,1 records receiver-seat availability, Cₛ(Ψ)=Ψ,PₛΨ measures chirality compatibility, and H₃(Δq) measures temporal-registration compatibility. This factorization distinguishes seat availability, chirality match, and registration match. None can be substituted for another, and no continuous rank-changing interpolation parameter is introduced. The derivation also separates the primitive compatibility decision from the subsequent material response. Spectral selection has the natural quantum-moment action scale, whereas observable receiver filling remains controlled by compatible ligt throughput. The normalized fill interval is Tfill^*=cEₜₕᵣligtL\,Gs,q. Defining Θₛₑₐₜ=Eₜₕᵣmₑc² and using ligtL=phtn,fL, gives Tfill^*=Θₛₑₐₜ Gs,qFq/fL. The physical fill time is Tfill=ΘₛₑₐₜfL Gs,q. The accumulated fill phase is Δφfill=2πΘₛₑₐₜ Gs,q. The receiver may therefore make a primitive topological compatibility distinction on the tq action scale while requiring a much longer ligt-controlled interval to produce an observable material response. Earlier photoelectric and coherence-window constructions are revised through this exact gate. Their seat-availability, threshold, and throughput relations remain valid after spectral admission. Previously unspecified geometry factors are replaced by the coefficient-free chirality and triadic-registration gate. Receiver-specific coherence-window quantities remain phenomenological descriptors of post-selection material evolution rather than the source of the rank-six projector. The paper supplies experimentally testable diagnostics: a binary mismatch spectrum, an exact three-accepted and six-rejected registration matrix, predictable changes under single-factor chirality reversal, invariance under simultaneous charge-conjugation reversal, and a factorized latency dependence on ligt and receiver compatibility. The Stage 41–46 derivation and validation package verifies the boundary-action uniqueness, projector algebra, one-moment action scale, triadic capture matrix, gate factorization, and receiver-latency relations. The remaining open problem is the receiver-specific material evolution that begins after the transported scan has passed the exact spectral gate.