Boundary Interface Theory: Inclination Angle of Bonding and Quantitative Verification of Membrane Depth / 边界界面理论:成键倾角与膜深度的定量验证

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author Wu, Longjian
author_facet Wu, Longjian
contents <div>This work includes two versions of the same article:</div> <div> </div> <div>Chinese version: 边界界面理论:成键倾角与膜深度的定量验证</div> <div> </div> <div>English version: Boundary Interface Theory: Inclination Angle of Bonding and Quantitative Verification of Membrane Depth</div> <div> </div> <div>This paper presents a quantitative, mathematical and geometric verification of the Boundary Interface Theory (Three‑dimensional Membrane Theory) and the Depth Matching Principle. Based on rigorous four‑dimensional projective geometry, it derives the quantitative relationship between atomic bonding inclination angle, interatomic depth difference, and experimental bond length, providing the first strictly falsifiable, reproducible, and numerically testable verification for the boundary interface framework.</div> <div> </div> <div>Using public experimental data from NIST and CCDC, this work confirms that the bonding inclination angle increases monotonically with atomic number. The depth calibration method established herein allows the quantitative reconstruction of four‑dimensional interface depth from three‑dimensional chemical observations. The theoretical derivation is self‑consistent, parameter‑free, and consistent with all existing experimental facts, serving as the first formal validation article of the Boundary Interface Theory system.</div> <div> </div> <div>This article lays a solid quantitative foundation for the entire theoretical series and supports the further extension of the boundary interface framework into chemistry, condensed matter physics, and interdisciplinary structural studies.</div>
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spellingShingle Boundary Interface Theory: Inclination Angle of Bonding and Quantitative Verification of Membrane Depth / 边界界面理论:成键倾角与膜深度的定量验证
Wu, Longjian
Boundary Interface Theory
atomic bonding inclination angle
membrane depth calibration
quantitative verification
depth matching
four-dimensional geometry
<div>This work includes two versions of the same article:</div> <div> </div> <div>Chinese version: 边界界面理论:成键倾角与膜深度的定量验证</div> <div> </div> <div>English version: Boundary Interface Theory: Inclination Angle of Bonding and Quantitative Verification of Membrane Depth</div> <div> </div> <div>This paper presents a quantitative, mathematical and geometric verification of the Boundary Interface Theory (Three‑dimensional Membrane Theory) and the Depth Matching Principle. Based on rigorous four‑dimensional projective geometry, it derives the quantitative relationship between atomic bonding inclination angle, interatomic depth difference, and experimental bond length, providing the first strictly falsifiable, reproducible, and numerically testable verification for the boundary interface framework.</div> <div> </div> <div>Using public experimental data from NIST and CCDC, this work confirms that the bonding inclination angle increases monotonically with atomic number. The depth calibration method established herein allows the quantitative reconstruction of four‑dimensional interface depth from three‑dimensional chemical observations. The theoretical derivation is self‑consistent, parameter‑free, and consistent with all existing experimental facts, serving as the first formal validation article of the Boundary Interface Theory system.</div> <div> </div> <div>This article lays a solid quantitative foundation for the entire theoretical series and supports the further extension of the boundary interface framework into chemistry, condensed matter physics, and interdisciplinary structural studies.</div>
title Boundary Interface Theory: Inclination Angle of Bonding and Quantitative Verification of Membrane Depth / 边界界面理论:成键倾角与膜深度的定量验证
topic Boundary Interface Theory
atomic bonding inclination angle
membrane depth calibration
quantitative verification
depth matching
four-dimensional geometry
url https://doi.org/10.5281/zenodo.19144224