Gaussian–T³ Nanogap Thermal Routing

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This integrated R01–R16 paper preserves the exact three-port Gaussian–T 3–solid-torus–Möbius scattering construction, its stage-reflection theorem, symmetry-dependent parity detuning, and R02’s rotating-wave heat ledger. An R03 code audit exposes an off-by-one error confined to the earlier real-cosine Floquet cascade: an initialization followed by range(1,6) builds six, not five, stages; its six-stage frequency labeling is also incompatible with its five-stage heat weighting. Repeating the actual five-stage Floquet calculation gives a reverse incremental heat of 5.04533×10−6 pW at a fixed 10.94941271-pW forward target with perfect intermediate filtering. We replace the ideal bandpass masks with causal, finite-order, reflectionless-but-lossy Butterworth transfer functions, explicitly retain sidebands, interstage coherent feedback, and eight/ten auxiliary filter sets, and supply an exact unitary thermal-noise dilation. A corrected nine-stage, ten-filter, second-order, π/2 phase-matched surrogate yields 10.94941271 pW forward and 4.26136 × 10−8 pW reverse incremental heat, or 99.9999996108% directional contrast, at a 49.62694-GHz Gaussian RMS acceptance. Independent Floquet-cutoffand frequency-grid checks agree to the reported precision. Conversely, a separate material-resolved, static fluctuational-electrodynamics calculation with a published 3C-SiC Lorentz dielectric model gives 1.79797×105 W m−2 for bare SiC half-spaces at a 20-nm gap and 360/300 K. Even a 1 µm2 such separate reciprocal shunt would completely dominate the modeled guided-pW channel. We derive precise shunt suppression requirements and retain the essential distinction between incremental nonreciprocal contrast, absolute heat rejection, useful refrigeration, and full wall-plug efficiency. The nine-stage … [source excerpt; see complete PDF]

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