I still dont understand how hyperspace works.
The technical explanation, from the Bebop wiki:
The underlying technology of the Astral Gates is that of Spatial Alternation Dynamics, based on the theory that our universe phases in and out of existence every 1/48 second, blinking on and off like a strobe light. While our universe is "off," it is temporarily replaced by a more compact universe called Phase Difference Space, which is 1/240th the size of our universe. By timing the entry and exit just right, it is therefore possible to travel 240 times faster within Phase Difference Space, which creates the illusion of extremely high-speed travel in our universe. For example, a journey from Earth to Mars takes 13-24 hours using an Astral Gate, while the same journey could potentially take months without one.