Undergrad School Research - Dark Matter

Undergrad School Research - Dark Matter

This work was for my senior research with Professor Irit Maor

Introduction

My senior research was about me rebuilding the statistics of dark matter.

We expect the velocity of stars in a glaxy to decrease as a function of the distance from the center of the glaxy. What we find is the velocities seem to hold rather than decrease (see below). This 1922 discovery pushed the Dutch astronomer Jacobus Kapteyn to propose Dark Matter as a solution for the observed galactic rotation plot.

Full-width image Rotation curve of a typical spiral galaxy: predicted (A) and observed (B). Dark matter can explain the ‘flat’ appearance of the velocity curve out to a large radius. IMAGE SOURCE

Extra mass would explain the difference between (A) and (B), but we should expect to see this mass. Perhaps the mass would be extra planets, asteroids, or meteors. Unfortunately we don’t see any extra mass. This means if there is extra mass it must be ‘dark’, meaning we can’t see it and it doesn’t interact with standard electrodynamics.

Type Ia supernova serve as a “standard candle” from which we can extract the equation of state of the universe. And we can use the equation of state to determine if the universe is flat. Knowing if the universe is flat helps us determine just how much mass we should expect to find and compare that with how much mass we actually see.

Full-width image Scientists have determined that the univese is comprised of ~70% Dark Energy, ~25% Dark Matter, and 5% things we can see, such as planets, comets, and asteriods. IMAGE SOURCE

The universe is flat and it’s mostly comprised of things we can’t see or explain.


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