曲率場関数の導入：波動関数収縮の幾何学的定式化に向けて
三重スリット実験におけるソーキン・パラメータκのベンチマーク
DOI:
https://doi.org/10.51094/jxiv.1522キーワード:
曲率–位相場、 波動関数の収縮、 量子干渉、 三重スリット実験、 ソーキンパラメータ κ、 ゲイン不変性、 正規化（Ver.2）、 フラウンホーファー回折、 非古典的経路抄録
本研究は、量子干渉における幾何学的な抑制を表す curvature-phase (PhiPsi) 場を導入し、波動関数の崩壊を有限の曲率予算の消費として位置づける。振幅は “A squared = 1 / (1 + (grad Phi)^2)” により減衰し、動力学はラグランジアン項に結合される。検証には Sinha らの三重スリット実験から得られる Sorkin パラメータ kappa(theta) を用い、Version-2 フルプロファイル指標（単一ゲイン事前当てはめ）で model kappa_PhiPsi と experimental kappa_exp を比較した。報告パラメータ (lambda = 810 nm, w = 30 um, d = 100 um, L ~ 18–20 cm) と固定乱数種の下で、モデルは解析形状を再現し、kappa で約 96.4% の一致を得た（Gaussian と Bohmian の基準は約 74.6% と 76.0%）。感度解析 (+/-10% in {w, d, L}) でも形状相関は保たれ、アブレーションでは一致度が系統的に低下した。CI 指標は別途に報告し、kappa と混在させない。以上より、恣意的なスケール調整なしに波動関数崩壊を幾何学的に定式化できることを示す。
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