Mechanical Resolution of the Dark Matter Anomaly: Galactic Rotation Curves as Topological Creases

Key Points

• The research aims to provide a mechanical explanation for the observed flat galactic rotation curves attributed to dark matter.
• Developed the Universal Sheet Tension Model to explore galactic dynamics.
• Investigated the concept of Topological Creases in the vacuum medium created by galactic motion.
• Analyzed the effect of these creases on local sheet tension and centripetal forces.
• Galactic rotation curves were shown to remain flat due to the influence of Topological Creases.
• Proposed that local increases in sheet tension can account for the force typically ascribed to dark matter.
• Predicted asymmetric gravitational lensing effects depending on a galaxy's motion direction.

Abstract