Work

The 3 Body Mirror: Exact Return, Fibonacci Conjugacy, and the Nonlinear Boundary

Year: 2026

Type: preprint

Abstract: A moving observer can recover the relative configuration of a three-body system from within it. Newtonian reflection and time reversal supply an exact inverse; a selected hyperbolic sector of the equal-mass Euler orbit realizes the Fibonacci transport Q2. The nonlinear system preserves the mirror relation, while its fourth-order normal form determines where linear conjugacy stops.We give an explicit realization of a mirror–return structure in the planar Newtonian three-body problem. Relative observations reconstruct the barycentric configuration without knowledge of the observer’s trajectory.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.24043083

Author: Coppa, Anthony Vito

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7225451885

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