This is version 2 (bilingual: English + Japanese). Version 1 contained the Japanese-only manuscript; version 2 adds the full English translation (paper₂026₀501₁ₑn. pdf,. md) and an English-text figure bundle (paper₂026₀501₁ₑnfigures. zip, 32 SVG files). The Japanese files (paper₂026₀501₁. pdf,. md, paper₂026₀501₁figures. zip) are retained for reproducibility. Abstract. This paper presents a geometric normal form that separates the Josephson diode effect (JDE) — the phenomenon where the maximum forward and reverse currents at a Josephson boundary (a region weakly connecting two superconductors) differ — into three factors: ΔIc ≈ −2 cJ ⟨δΦᵣes, KJ^ (2) δΦᵣes⟩_+ · sin Θₗoop Amplitude kernel KJ^ (2) = TF (Π₂ RJ (FJ) ) carries the magnitude (size) of the asymmetry and is non-negative. Sign source sin Θₗoop carries the direction (sign) via a closed-loop holonomy in hyperbolic projective space and the Fano plane. Lemmas 5. 10 / 5. 11 prove that single-sine CPR with arbitrary null phase and arbitrary branch-weight asymmetry is fully absorbed into φ₀-shift, so JDE cannot emerge from first-harmonic alone. Proposition 5. 12 establishes the second harmonic as the minimum escape order. Under hypothesis 5. 13, the second-harmonic phase is fixed by the oriented hyperbolic-Fano loop holonomy Θₗoop = Θᵣap (γ) + εL Θ (L) (Theorem C-8. 7 gives a five-condition conditional quasi-derivation). The Banner Theorem 10. 1 (= Main Theorem 8. 3 + Theorem C-15. 6) shows that the JDE sign source and a CP-type sign-source candidate share the same geometric normal form (oriented loop holonomy, odd-component readout). The correspondence is structural, NOT a numerical identification with CKM/Jarlskog values. Material design implication (Lemma G-6, §10): JDE does not emerge if any of δΦᵣes = 0, KJ^ (2) = 0, or sin Θₗoop = 0 holds. This three-zero failure classification turns material screening from brute-force into a 'rule out failures first' design principle. The paper does NOT claim direct observation of the cosmic baryogenesis sign source; it positions JDE as a low-energy superconducting-boundary geometric model for reading the same sign-generation grammar. 日本語要旨: Josephson ダイオード効果 (JDE) の発露を「次元定数 × 振幅核 × 符号源」の三因子 normal form (標準形) として分離する論文です。詳細は paper₂026₀501₁. pdf (Japanese, full version) 、またはこの英語版 paper₂026₀501₁ₑn. pdf を参照。本論は CKM 行列や Jarlskog 不変量との数値同一視ではなく、構造的対応として CP 接続を扱い、宇宙物質起源の直接観測装置とは明示的に区別する (低エネルギー幾何模型としての位置づけ) 。 Files in this record: paper₂026₀501₁ₑn. pdf — English PDF (88 pages, full translation) paper₂026₀501₁ₑn. md — English source markdown paper₂026₀501₁ₑnfigures. zip — 32 figures (SVG, English text) paper₂026₀501₁. pdf — Japanese PDF (69 pages, original) paper₂026₀501₁. md — Japanese source markdown paper₂026₀501₁figures. zip — 32 figures (SVG, Japanese text) Formal (theory-internal) name in Japanese: 「荷電レプトンスクリーン二枝射影 null 位相接続共有幾何と Josephson null 行列: 双曲射影空間の閉路一周位相による CP 符号源候補の定式化」. Hayashi naming convention (where / what / role) is detailed in Appendix A. Related prior work: The Hayashi-theory foundation is shared with the CP-violation complete geometric theory (DOI: 10. 5281/zenodo. 19800883) and the electromagnetic-gravitational unified theory (DOI: 10. 5281/zenodo. 19914834).
Kuniyuki Hayashi (Wed,) studied this question.