Editor’s note: This paper submitted to arXiv, which is an electronic service for academic papers supported by Cornell University, is citing evidence for the controversial Nemesis star theory, which claims our solar system is actually a binary star system. Below is the abstract is this paper. The authors of this paper are claiming this star exists in the boundary of our solar system, the Oort cloud and is around (in astronomical terms) the size of Jupiter. John J. Matese and Daniel P. Whitmire write via
Binary Star

We present an updated dynamical and statistical analysis of outer Oort cloud cometary evidence suggesting the sun has a wide-binary Jovian mass companion. The results support a conjecture that there exists a companion of mass ~1–4 M_Jup orbiting in the innermost region of the outer Oort cloud.

Our most restrictive prediction is that the orientation angles of the orbit normal in galactic coordinates are centered on the galactic longitude of the ascending node Omega = 319 degree and the galactic inclination i = 103 degree (or the opposite direction) with an uncertainty in the normal direction subtending ~2% of the sky.