Unified Interpretation of Black Hole Shadows and Gravitational Waves in OBWT: Transverse Equivalence of Vertical Compression

本体波场理论下的黑洞阴影与引力波:竖直压缩的横向等效统一解释 本体波场理论(OBWT)以单一公理 u2+v2=Φc2 为基础,在平直时空框架下统一解释引力现象。本文导出总能量表达式 E=γΦvm0Φc2,并通过等效线元 ds2=Φc2dt2−η2(r)dr2−r2dΩ2自然得到竖直压缩的横向等效因子 η(r)=1/(1−a/r)和有效折射率 neff=1/(1−a/r)2。由此证明光线偏折、黑洞阴影与引力波是同一底层机制在不同条件下的三种表现。静态强场中,阴影尺寸为 bc=6.75 GM/c2;采用Simon等人(2024)恒星动力学独立质量 5.5×109M⊙,预言M87*角直径 40.9 μas,与EHT观测 42±3 μas 吻合。动态弱场中,压缩张量横波以光速传播,与LIGO兼容。GPS/北斗频移验证显示OBWT与观测偏差约-0.4%。最关键的是:OBWT从EHT阴影反推质量为 5.64×109M⊙,与恒星动力学独立测量偏差仅2.5%,而GR在同一比较中偏差达18%。OBWT无需时空弯曲、暗能量或自旋参数,并给出可证伪的判决性预言。 Abstract (English) The Ontological Basic Wavefield Theory (OBWT) is based on a single fundamental axiom u2+v2=Φc2, which describes gravitational phenomena within a flat spacetime framework. Starting from this axiom, this paper derives the wavepacket transverse compression factor η(r)=1/(1−a/r)and the effective refractive index neff=1/(1−a/r)2 through the total energy expression E=γΦvm0Φc2 and the equivalent line element ds2=Φc2dt2−η2(r)dr2−r2dΩ2. It is demonstrated that light deflection, black hole shadows, and gravitational waves are three distinct observational manifestations of the same underlying physical mechanism. In the static strong-field regime, the characteristic shadow size is bc=6.75 GM/c2; adopting the independent stellar dynamical mass measurement of M87* from Simon et al. (2024), 5.5×109M⊙, the predicted angular diameter is 40.9 μas, in excellent agreement with the EHT measurement 42±3 μas. In the dynamic weak-field regime, transverse modes of the compression tensor propagate at the speed of light, generating transverse gravitational waves with two independent polarizations, consistent with LIGO detections. GPS/BeiDou frequency shift verification shows that OBWT deviates from observations by about −0.4%. Most critically, OBWT inverts the EHT shadow angular diameter to a mass of 5.64×109M⊙, deviating from the independent stellar dynamical measurement by only 2.5%, whereas GR deviates by 18% in the same comparison. OBWT does not require spacetime curvature, dark energy, or spin parameters, and provides falsifiable predictions. Keywords: Ontological Basic Wavefield Theory; black hole shadow; gravitational wave; wavepacket compression; EHT; LIGO 版权与版本声明 本文为《高维本体投射下的三维波场统一物理理论》（主篇物理本体论，DOI：10.5281/zenodo.19656043）的配套实证研究，属高维本体波场理论体系子篇。 著作权均归作者所有，全文统一采用知识共享署名-非商业性使用-禁止演绎 4.0 国际许可协议（CC BY-NC-ND 4.0国际许可）进行版权许可。 未经作者书面正式授权，任何组织及个人不得对本系列文档全部或部分内容进行篡改、改编、演绎、商业使用、商用传播等侵权行为；合法转载需完整注明原文作者及出处，不得擅自修改文档内容与理论核心表述。 本声明适用于本套理论体系全部篇章，具有同等版权约束效力。