Counterposed Arc-Geometric Solar-System Model: Light-Time, Dual-Anchor Projection, and Comparison-Layer Diagnostics

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+1 projection layer and the conventional 3+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.