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Four-Tool Spectral Framework for High-Temperature Pairing

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Source title: Gaussian–T³–Solid-Torus–Möbius Spectral Framework

Printed author name: Mr.K · Archive author: Han Jae Jun

Year: 2026 · Working manuscript, not a claim of peer-reviewed acceptance.

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We investigate the mathematical feasibility of high-temperature pairing while distinguishing reduced- model conclusions from the unverified properties of real materials. The four-tool framework combines a Gaussian momentum-space coupling on the Brillouin three-torus, a solid-torus flux path, and an explicitly imposed Möbius channel exchange. We derive exact Fourier spectra, channel-selection bounds, optical- phonon feedback and phase-stiffness constraints, and a free-energy surface bound for channel exchange. Dynamically screened Eliashberg calculations demonstrate that prescribed phonon-pole pairing certificates need not transfer to the screened microscopic propagator. We also establish full-frequency operator esti- mates, conserving-response identities, rigorous finite- and infinite-phonon Fock-space and Gibbs truncation controls, and finite-system quantum electron–ion pair and current correlations. Selected projected BCS parameterizations admit nonzero gaps and positive phase-winding curvature at 300 K; direct unprojected electron–phonon calculations reveal substantial projection errors. Neither a low-energy pairing trial state nor a finite-ring persistent-current response alone establishes bulk equilibrium Meissner superconductivity. A separate measurement-engineering analysis specifies independent Kelvin force/sense wiring, an empty four-contact carrier, a normal-copper Helmholtz magnet, temperature and Hall-probe control, and an insulated external channel permutation. The calculated ideal field, current-reversal drift cancellation and device geometry are documented with reproducible vector diagrams. No fabricated superconducting specimen or experimental data are asserted. In particular, no atomically identified compound is shown to possess at ambient pressure all … [excerpt; full PDF linked below]

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Original ZIPRTSC_GTSM_R34_SINGLE_PAPER_FINAL_SLIM_NO_ARCHIVES_20261013.zip
Main PDFpdf/main/rtsc-gtsm-r34-single-paper-final-slim-no-archives-20261013.pdf
PDF pages187
PDF SHA-256f019185f2fbd4f9543900cd68162ef66e232e2fcae0825ab241d1a9ecfe20f28
ZIP SHA-25614a1bba058adab29ee2f7f2830a051ccb7be8001e676a07674fb7bfb56d3abdd

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Citation

@unpublished{Han2026rtscgtsmr34singlepaperfinalslimnoarchives20261013,
  author = {Han Jae Jun},
  title = {Four-Tool Spectral Framework for High-Temperature Pairing},
  year = {2026},
  note = {Research source ZIP: RTSC_GTSM_R34_SINGLE_PAPER_FINAL_SLIM_NO_ARCHIVES_20261013.zip; independent theorem proof audit not certified},
  url = {https://han-jae-jun-research.vercel.app/research/rtsc-gtsm-r34-single-paper-final-slim-no-archives-20261013.html}
}

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Original source version: RTSC_GTSM_R34_SINGLE_PAPER_FINAL_SLIM_NO_ARCHIVES_20261013.zip

Main PDF SHA-256: f019185f2fbd4f9543900cd68162ef66e232e2fcae0825ab241d1a9ecfe20f28

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