The current jump drive uses something known as sub-warp, a technology used to emulate a highway for the matter transportation. You could call it wormhole, but it is not quite that, though you could see the similarities. The hyperspace could be one extra layer of not-rendered creatures which would begin to be rendered while you wait for the warp-engines to warm up (so you can actually move to and in the hyperspace). Besides that, maybe you could make the entities in the hyperspace not render "properly", unless you are verry close, while from the distance you would have rendered the movement of the energy (like a thermal view with everything light blue -not cyan, something whiter-, and the ship's speed would determine it's readings to be going from the default color -that light blue- to light green, yellow, orange, red than black at the top speed the hyperspace allows). Also, the difference in the space could be tweaked, but given the fact that in hyperspace there is no planet to render, but only some creatures and other ships moving there, it would be much safer -for reasons of processing power usage- to be there instead of the overworld, as it is called in Minecraft -normal dimension-, and the space there would be scalled 1:the_current_jump_distance, so the sub-warp would actually become just entering and leaving the hyperspace without allowing any creature or anything really to have time to go after you, since you would only get to travel for one meter in the hyperspace and that is not enough time for anything to happen, unless you literally get in the way of one of the few new weapons usable in hyperspace (I suggest limiting those ones to 2 (cannon, beam) + 2 slaves (same) + 2-3 effects (overdrive, push, pull). Also, when exiting the hyperspace you should be located at least 500m away from the center of a planet, in order to avoid ships getting stuck into a core. Also, you could also make the planets and stations to have readings into the hyperspace, thus explaining how the spiders came to be: they came from hyperspace, bought here by the ships they were trying to eat from, and since they were only used to travel in hyperspace and didn't evolved any way of going in or out of hyperspace, which is a harsher place than the overworld, which constantly deals damage per peter to the ship, progresively related to the mass of the ship and the distance traveled (making the presence of the shields imperative on any ships trying to use the hyperspace other than with a jumpdrive which stays in hyperspace for not enough time for the damage to be taken, this being why the jump distance is limited), thus the spiders are stuck here with no means of transportation, waiting for a ship to come to them. Alternatively, when you enter the jump, you should be able to move 1m from your location, after which your speed relative to the hyperspace would become 0. And moving in hyperspace would require you having hyperspace accelerators, the equivalent of the overworld thrusters. And the ships in the hyperspace would be linked to the overworld using the relative distance from the point their core was in at the time of entering the hyperspace (before the 1m after which the ships stopped moving), with the movement-resistance being powerfull enough to render the use of the accelerators nearly useless, unless in large quantities... maybe one accelerator would be used for moving 10 mass with the speed of 1m/s... but it requires no recharging or warming up since you already are in hyperspace, so it would be plain acceleration up to the speed provided a few words before.