Abstract
This preprint presents an application-oriented solar-system chapter of the Arc Geometry technical reference framework. It introduces a counterposed arc-geometric model of the solar system in which the eight planetary positions are organized as four paired nodes under two opposite P/M time-vector branches. The model uses light-time, prime-order indexing, dual-anchor normalization, single- and dual-circle projection diagnostics, and a dimensional representation bridge between the Arc-theoretic 2+12+1 projection layer and the conventional 3+13+1 astronomical representation layer.
The paper does not claim to re-prove the source-level arc-geometric framework. Instead, it serves as a reproducible comparison-layer guide for astronomical readers: the source-level constants, terminology, and closure posture are referred to the Arc Geometry Baseline Reference Text and the e-Arc-Helix Volumes I–IV. Within this limited scope, the chapter evaluates several diagnostic mappings, including the Earth–Mars dual-anchor light-time gauge, the Mercury–Venus negative-control transposition, cross-anchor mass-projection diagnostics, and pre-/post-polarization mean-anchor projections.
All numerical comparisons are treated as bridge-layer or comparison-layer diagnostics rather than source-layer proofs. The record is intended to support transparent replication, failure-scope attribution, and future tests on secondary energy-gap systems such as satellite systems, ring systems, and outer-system boundary structures.
摘要
本预印本展示了“弧几何”（Arc Geometry）技术参考框架中关于太阳系的一个应用导向章节。文中介绍了一种太阳系的对置弧几何模型，该模型将八大行星的位置组织为四个成对节点，分布在两条相反的 P/M 时间矢量分支之下。该模型采用了光时（light-time）、素数阶索引、双锚点归一化、单圆及双圆投影诊断法，并构建了连接“弧理论” 2+1 投影层与传统 3+1 天文学表征层的维度转换桥梁。
本文并不旨在重新证明源层面的弧几何框架，而是为天文学领域的读者提供一份可复现的对比层指南：关于源层面的常数、术语及闭合态势（closure posture），请参阅《弧几何基准参考文本》（Arc Geometry Baseline Reference Text）及《e-Arc-Helix》卷一至卷四。在此限定范围内，本章评估了多种诊断映射方法，包括地球-火星双锚点光时度量、水星-金星负对照置换、跨锚点质量投影诊断，以及极化前/后的平均锚点投影。
所有数值比对均被视为桥梁层或对比层的诊断分析，而非源层面的证明。本文旨在支持透明的复现过程、失效范围归因分析，以及针对次级能隙系统（如卫星系统、行星环系统及外太阳系边界结构）的未来测试。
Keyword list
Arc Geometry; Arc Theory; e-Arc-Helix; solar system model; counterposed arc geometry; P-M conjugate axis; planetary pairing; light-time model; dual-anchor gauge; prime-order indexing; dimensional representation bridge; 2+1 to 3+1 mapping; mass-projection diagnostic; negative-control test; astronomical comparison layer
关键词列表
关键词列表
弧几何；弧理论；e-Arc-Helix（电子-弧-螺旋）模型；太阳系模型；对置弧几何；P-M共轭轴；行星配对；光时模型；双锚定标尺；素数阶索引；维度表征桥接；2+1至3+1映射；质量投影诊断；阴性对照测试；天文比对层
| 欢迎光临 弧论坛 (http://arcii.org/) | Powered by Discuz! X3.1 |