← Back to archive

Computation · WORKING SOURCE MANUSCRIPT

Reversible Computing with Gaussian Three-Phase Clocks and Copper-Torus Resonators

Bibliographic identity from the original PDF

Source title: Reversible Computing with Gaussian Three-Phase Clocks, Copper-Torus Resonators, and Passive Signed Networks: A Cumulative Mathematical and Circuit Verification

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

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

Public PDF via Google Drive ↗ · Original source ZIP ↗

Only a source excerpt or no stand-alone Abstract is available; no missing text is invented.

Source abstract and PDF provenance

Original abstract excerpt

This cumulative study develops a specified, normally conducting reversible-computing circuit model that couples four concrete mathematical and electrical structures: Gaussian- smoothed clocks, three T 3-indexed phases, copper toroidal RLC resonators, and a passive six-terminal signed crossover inspired by Möbius routing. The construction supplies exact Kirchhoff and reversible Boolean identities, finite-Fourier control and dissipation bounds, and reproducible circuit-model tests. A zero common-return current is not equated with zero copper heat or lossless practical operation. The R25–R26 results construct ideal differential output rails and certify finite-mode voltage margins over explicitly bounded passive-component variations; R27–R30 quantify driver- current, parasitic routing, copper skin-loss, energy-exchange and error-correction obligations. R31 proves a strict reverse-power lower bound for all three-source delay schedules in the specified two-harmonic coefficient family, and R44 shows by exact rational Fourier arithmetic that seven equally spaced ECC triplets (21 model ports) produce positive aggregate signed bus power at every time. The latter result does not eliminate reverse power or energy-transfer losses at individual output terminals. R45 strengthens the R44 result from identical source powers and common triplet offsets to independent bounded Fourier-coefficient and timing errors at all 21 ports. With a 0.1-µW coefficient envelope through harmonic 50 and independent 2-ps port timing deviation, the model’s bus-power lower bound is 1.789093 mW. An additional 50-µW per-port supremum allowance for the unmodeled high-harmonic signed-power tail leaves a strict 0.739093-mW lower bound. Parseval and Cauchy–Schwarz give a separate certified upper bound on local … [excerpt; full PDF linked below]

Original ZIP PDF: 261 pages · 9207303 bytes
Original SHA-256: 29bc288cc23c3e45ca0fdcb61b625dc134f5761052cf6bce8b2809bf813bab72
Current Drive copy: 9207303 bytes
Drive SHA-256: 29bc288cc23c3e45ca0fdcb61b625dc134f5761052cf6bce8b2809bf813bab72

IDENTICAL: SHA-256 matches the archived PDF. Open public PDF ↗ · Full audit ↗

File identity is not proof certification, peer review or experimental verification.

261 pages · Original ZIP and source PDF integrity recorded

Read Main PDF ↗Original ZIP ↗Search this PDF ↗

Source identification

Original ZIPR54_GTSM_REVERSIBLE_COMPUTER_20261015_FINAL_MERGED_CUMULATIVE.zip
Main PDFpdf/main/r54-gtsm-reversible-computer-20261015-final-merged-cumulative.pdf
PDF pages261
PDF SHA-25629bc288cc23c3e45ca0fdcb61b625dc134f5761052cf6bce8b2809bf813bab72
ZIP SHA-256b8800f6fb1af3adac07dd0470eb7bed0d503bebea5268e1e0574192085ef5d9c

Local verification ledger

Exact interfaceVerification scope
File identityZIP and main PDF SHA-256 recorded
Definition and lemma transitionsNot independently audited for all statements
Physics interfacePhysical standard-model translation is not inferred from a mathematical model alone
Simulation/experimentSource files do not certify laboratory or instrument performance
Peer-reviewed publicationNot assumed; DOI and publisher not verified

Verified PDF existence does not imply the complete mathematical theorem or its physical realizability is closed.

Citation

@unpublished{Han2026r54gtsmreversiblecomputer20261015finalmergedcumulative,
  author = {Han Jae Jun},
  title = {Reversible Computing with Gaussian Three-Phase Clocks and Copper-Torus Resonators},
  year = {2026},
  note = {Research source ZIP: R54_GTSM_REVERSIBLE_COMPUTER_20261015_FINAL_MERGED_CUMULATIVE.zip; independent theorem proof audit not certified},
  url = {https://han-jae-jun-research.vercel.app/research/r54-gtsm-reversible-computer-20261015-final-merged-cumulative.html}
}

All 37 BibTeX citations

Source verification & version

Source identity and page references are recorded; complete scientific proof and experimental validation have not been independently certified.

Original source version: R54_GTSM_REVERSIBLE_COMPUTER_20261015_FINAL_MERGED_CUMULATIVE.zip

Main PDF SHA-256: 29bc288cc23c3e45ca0fdcb61b625dc134f5761052cf6bce8b2809bf813bab72

Theorem locator ↗ · Version provenance ↗ · Original PDF ↗